Παναγιώτης Χατζηπαντελίδης

Παναγιώτης Χατζηπαντελίδης Τμήμα Μαθηματικών και Εφαρμοσμένων Μαθηματικών, Πανεπιστήμιο Κρήτης Πανεπιστημιούπολη Βουτών, Ηράκλειο, 71003. Τηλ:(+30) 2810-393871, Fax:(+30) 2810-393881 Email: chatzipa@math.uoc.gr Homepage: http://www.math.uoc.gr/ chatzipa Προσωπικά στοιχεία Ημερομήνια γεννήσεως: 28 Μαϊου, 1969 Τόπος γέννησης: Αγία Παρασκευή, Αττικής Οικογενειακή κατάσταση: Παντρεμένος, με δύο παιδιά Εκπαίδευση Διδακτορικό Δίπλωμα στα Μαθηματικά, Πανεπιστήμιο Κρήτης, 1998. Διδακτορική Διατριβή: Μελέτη Μεθόδων Πεπερασμένων χωρίων και Πεπερασμένων στοιχείων για προβλήματα συνοριακών και αρχικών συνοριακών τιμών Επιβλέπων Καθηγητής: Γεώργιος Δ. Ακρίβης Μεταπτυχιακό Δίπλωμα στα Εφαρμοσμένα Μαθηματικά, Πανεπιστήμιο Κρήτης, 1993 Πτυχίο Μαθηματικών, Πανεπιστήμιο Κρήτης, 1991 Ακαδημαϊκές θέσεις Πανεπιστήμιο Κρήτης, Τμήμα Μαθηματικών και Εφαρμοσμένων Μαθηματικών, Επίκουρος Καθηγητής, Σεπτέμβριος 2013 τώρα. Πανεπιστήμιο Κρήτης, Τμήμα Μαθηματικών, Επίκουρος Καθηγητής, Μάρτιος 2005 Σεπτέμβριος 2013 Πανεπιστήμιο Κρήτης, Τμήμα Μαθηματικών, Επισκέπτης Επίκουρος Καθηγητής, Σεπτέμβριος 2004 Φεβρουάριος 2005. Texas A&M University, USA, Τμήμα Μαθηματικών, Επισκέπτης Επίκουρος Καθηγητής, Σεπτέμβριος 2001 Μάιος 2004. University of Texas at Austin, USA, TICAM, Μεταδιδακτορικός Υπότροφος, Φεβρουάριος 2001 Αύγουστος 2001. Πανεπιστήμιο Κρήτης, Τμήμα Εφαρμοσμένων Μαθηματικών, Επισκέπτης Επίκουρος Καθηγητής, Σεπτέμβριος 1999 Ιανουάριος 2001. Ερευνητική περιοχή Αριθμητική Ανάλυση(Αριθμητικές μέθοδοι για διαφορικές εξισώσεις με μερικές παραγώγους και αριθμητικές μέθοδοι για στοχαστικές διαφορικές εξισώσεις) Επισκέψεις μεγάλης διάρκειας Texas A&M University, USA(1/2011-5/2011)

Βιογραφικό σημείωμα του Παναγιώτη Χατζηπαντελίδη 2 Επισκέψεις μικρής διάρκειας University of Leicester, UK(1 εβδομάδα, 12/2013) Texas A&M University, USA(1 εβδομάδα, 5/2009) Texas A&M University, USA(1 εβδομάδα, 9/2006) Υποτροφίες Μεταδιδακτορικός Υπότροφος, Ιδρυμα Κρατικών Υποτροφιών, Οκτώβριος 1999 Οκτώβριος 2000. Συμμετοχή σε ερευνητικά προγράμματα ΕΛΚΕ, Πανεπιστημίου Κρήτης, 2014-2015, Τίτλος: Διατήρηση θετικότητας της λύσης πλήρως διακριτών λύσεων για την εξίσωση της θερμότητας, ΚΑ 4179 ΓΓΕΤ, Πρόγραμμα Θαλής, 2014 2015. Τίτλος: Ανάλυση, μοντελοποίηση και προσομοιώσεις για σύνθετα και στοχαστικά συστήματα ΓΓΕΤ, Πρόγραμμα Αριστεία, 2013-2015, Τίτλος: Αυτοπροσαρμοζόμενες μέθοδοι για προβλήματα εξαρτώμενα από το χρόνο: Αλγόριθμοι και Ανάλυση ΕΛΚΕ, Πανεπιστημίου Κρήτης, 2006-2007, Τίτλος: Ανάλυση μαθηματικών μεθόδων για την προσέγγιση της λύσης στοχαστικών και μη στοχαστικών μερικών διαδορικών εξισώσεων παραβολικού τύπου, ΚΑ 2299 Διδακτική Εμπειρία Προπτυχιακά Μαθήματα Τμήμα Μαθηματικών και Εφαρμοσμένων Μαθηματικών, Πανεπιστήμιο Κρήτης Αριθμητική Επίλυση ΜΔΕ, Χειμερινό 2014 Γλώσσα Προγραμματισμού Ι, Χειμερινό 2014, 2013 Γλώσσα Προγραμματισμού ΙΙ, Εαρινό 2014 Τμήμα Μαθηματικών, Πανεπιστήμιο Κρήτης Εισαγωγή στην Αριθμητική Ανάλυση, Εαρινό 2013, 2008, 2007, 2005, Χειμερινό 2010 Αριθμητική Επίλυση ΜΔΕ, Χειμερινό 2011, 2008, 2005 Αριθμητική Επίλυση ΣΔΕ, Εαρινό 2009 Αριθμητική Γραμμική Άλγεβρα, Χειμερινό 2011, 2007, 2006 Θεωρία Προσεγγίσεων και Εφαρμογές, Εαρινό 2012, 2005 Απειροστικός Λογισμός ΙΙ, Χειμερινό 2009 Απειροστικός Λογισμός ΙΙΙ, Εαρινό 2007, 2006 Παραμετρική Στατιστική, Χειμερινό 2004 Τμήμα Μαθηματικών, Πανεπιστήμιο Texas A&M Διαφορικές Εξισώσεις, Χειμερινό 2001, 2002(δύο τάξεις) Απειροστικός Λογισμός Ι, Εαρινό 2002(δύο τάξεις), 2003, Χειμερινό 2003(δύο τάξεις) Απειροστικός Λογισμός ΙΙ, Εαρινό 2004

Βιογραφικό σημείωμα του Παναγιώτη Χατζηπαντελίδη 3 Τμήμα Εφαρμοσμένων Μαθηματικών, Πανεπιστήμιο Κρήτης Εισαγωγή στην Αριθμητική Ανάλυση, Χειμερινό 2000 Γραμμική Αλγεβρα ΙΙ, Εαρινό 2000 Εισαγωγή στους Η/Υ, Χειμερινό 1999 Μεταπτυχιακά Μαθήματα Μεταπτυχιακό Πρόγραμμα Σπουδών Μαθηματικά και Εφαρμογές τους, Πανεπιστήμιο Κρήτης Αριθμητική Ανάλυση, Εαρινό 2013(συνδιδασκαλία), 2008 Αριθμητική Επίλυση ΜΔΕ, Εαρινό 2006 Μεταπτυχιακό Πρόγραμμα Σπουδών Οπτική και Οραση, Πανεπιστήμιο Κρήτης Στοιχεία Μαθηματικής Προσομοίωσης, Χειμερινό 2013, 2012, 2009, 2008 Επίβλεψη φοιτητικών εργασιών 1. Διπλωματική εργασία της Β. Ταρουδάκη, με τίτλο Αριθμητικές μέθοδοι υπολογισμού ιδιοτιμών και ιδιοδιανυσμάτων πινάκων, Ιούνιος 2008. Παρουσιάσεις σε Συνέδρια και Σεμινάρια Προσκεκλημένες 1. Τμήμα Μαθηματικών, Πανεπιστήμιο Αιγαίου, Οκτώβριος 2000. 2. Τμήμα Μαθηματικών, Πανεπιστήμιο Ιωαννίνων, Οκτώβριος 2000. 3. Τμήμα Μαθηματικών, Texas A&M University, Μάρτιος 2001. 4. Τμήμα Μαθηματικών, Πανεπιστήμιο Κρήτης, Δεκέμβριος 2001. 5. Τμήμα Μαθηματικών και Στατιστικής, Πανεπιστήμιο Κύπρου, Μάιος 2003. 6. Τμήμα Μαθηματικών, Πανεπιστήμιο Αιγαίου, Μάιος 2003. 7. Second Workshop on Numerical Methods for Evolution Equations, Πανεπιστήμιο Κρήτης, Ηράκλειο, Σεπτέμβριος 2004. 8. Σχολή Εφαρμοσμένων Μαθηματικών και Φυσικών Επιστημών, Ε.Μ.Π., Ιανουάριος 2006. 9. Τμήμα Μαθηματικών, Texas A&M University, Σεπτέμβριος 2006. 10. Third Workshop on Numerical Methods for Evolution Equations, Πανεπιστήμιο Κρήτης, Ηράκλειο, Σεπτέμβριος 2006. 11. Conference on the Mathematics of Finite Elements and Applications (MAFELAP 2009), Brunel University, London, UK, Ιούνιος 2009. 12. Fifth Workshop on Numerical Methods for Evolution Equations, Πανεπιστήμιο Κρήτης, Ηράκλειο, Σεπτέμβριος 2010. 13. Τμήμα Μαθηματικών, Texas A&M University, Απρίλιος 2011. 14. Numerical Solution of Partial Differential Equations: Theory, Algorithms and their Application Symposium in honor of Raytcho Lazarov s 40 years research in Computational Methods and Applied Mathematics, Sozopol, Bulgaria, Ιούνιος 2013.

Βιογραφικό σημείωμα του Παναγιώτη Χατζηπαντελίδη 4 15. Conference on the Mathematics of Finite Elements and Applications (MAFELAP 2013), Brunel University, London, UK, Ιούνιος 2013. 16. Τμήμα Μαθηματικών,University of Leicester, UK, Δεκέμβριος 2013. 17. Seventh Workshop on Numerical Methods for Evolution Equations, Πανεπιστήμιο Κρήτης, Ηράκλειο, Σεπτέμβριος 2014. Άλλες ομιλίες 1. Διημερίδα Εφαρμοσμένων Μαθηματικών, Πανεπιστήμιο Κρήτης, 2000. 2. Finite Element Rodeo, College Station, Texas, Μάρτιος 2002. 3. Third International Symposium on Finite Volumes for Complex Applications, Porquerolles, France, Ιούνιος, 2002. 4. Finite Element Rodeo, Houston, Texas, Μάρτιος 2003. 5. Finite Element Rodeo, Austin, Texas, Μάρτιος 2004. 6. IMA Hot Topics Workshop: Compatible Spatial Discretizations for Partial Differential Equations, U- niversity of Minnesota, Minneapolis, Minnesota, Μάιος 2004. 7. 4 0 ΘερινόΣχολείοΜαθηματικών,ΤμήμαΜαθηματικών,ΠανεπιστήμιοΚρήτης,Ιούλιος2005. 8. Οργάνωση και συμμετοχή στο Σεμινάριο περί μεθόδων Multigrid, Εαρινό Εξάμηνο 2007, Τμήμα Μαθηματικών, Πανεπιστήμιο Κρήτης. 9. 5 0 ΘερινόΣχολείοΜαθηματικών,ΤμήμαΜαθηματικών,ΠανεπιστήμιοΚρήτης,Ιούλιος2007. 10. Conference in Numerical Analysis (NumAn 2008), Καλαμάτα, Σεπτέμβριος 2008. 11. Conference in Numerical Analysis (NumAn 2010), Χανιά, Σεπτέμβριος 2010. 12. Finite Element Rodeo, College Station, Texas, Μάρτιος 2011. 13. 5th Conference in Numerical Analysis (NumAn 2012), Ιωάννινα, Σεπτέμβριος 2012. 14. 6th Conference in Numerical Analysis (NumAn 2014), Χανιά, Σεπτέμβριος 2014. Ερευνητικές Εργασίες Δημοσιευμένες 1. Explicit multistep methods for nonstiff partial differential equations, Applied Numerical Mathematics, 27, (1998), 13 31. 2. A finite volume method based on the Crouzeix Raviart element for elliptic pde s in two dimensions, Numeriche Mathematik, 82,(1999), 409 432. 3. Finite volume methods for elliptic pde s: A new approach, M2AN Mathematical Modelling and Numerical Analysis, 36,(2002), 307 324. 4. On solving elliptic stochastic partial differential equations,(σε συνεργασία με τον I. Babuška), Computer Methods in Applied Mechanics and Engineering, 191,(2002), 4093 4122. 5. The finite volume element method in nonconvex polygonal domains,(σε συνεργασία με τον R. Lazarov), Finite Volumes for Complex Applications III, (Porquerolles, 2002), ed. R. Herbin και D. Kröner, Lab. Anal. Topol. Probab. CNRS, Marseille, (2002), 157 164.

Βιογραφικό σημείωμα του Παναγιώτη Χατζηπαντελίδη 5 6. A-posteriori error estimates for a finite volume method for the Stokes problem in two dimensions,(σε συνεργασία με τους Χ. Μακριδάκη και Μ. Πλεξουσάκη), Applied Numerical Mathematics, 46,(2003), 45 58. 7. Error estimates for a finite volume element method for parabolic equations in convex polygonal domains, (σε συνεργασία με τους R. Lazarov και V. Thomée), Numerical Methods for Partial Differential Equations, 20,(2004), 650 674. 8. Error estimates for a finite volume element method for elliptic PDEs in nonconvex polygonal domains, (σε συνεργασία με τον R. Lazarov), SIAM Journal on Numerical Analysis, 42,(2005), 1932 1958. 9. A finite volume element method for a non-linear elliptic problem,(σε συνεργασία με τους R. Lazarov και V. Ginting, Numerical Linear Algebra with Applications, 12,(2005), 515 546. 10. Parabolic finite element equations in nonconvex polygonal domains,(σε συνεργασία με τους R. Lazarov, V. Thomée και L. Wahlbin), BIT Numerical Mathematics, 46,(2006), 113 143. 11. Parabolic finite volume element equations in nonconvex polygonal domains,(σε συνεργασία με τους R. Lazarov και V. Thomée), Numerical Methods for Partial Differential Equations, 25,(2009), 507 525. 12. A posteriori error estimates for the two-step backward differentiation formula method for parabolic equations,(σε συνεργασία με τον Γ. Ακρίβη), SIAM Journal on Numerical Analysis, 48,(2010), 109 132. 13. Some error estimates for the lumped mass finite element method for a parabolic problem,(σε συνεργασία με τους R. Lazarov και V. Thomée), Mathematics of Computation, 81,(2012), 1 20. 14. Some error estimates for the finite volume element method for a parabolic problem,(σε συνεργασία με τους R. Lazarov και V. Thomée), Computational Methods in Applied Mathematics, 13,(2013), 251 279. 15. A finite volume element method for a nonlinear parabolic problem,(σε συνεργασία με τον V. Ginting), Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications, Springer Proceedings in Mathematics and Statistics, Vol. 45,(2013), 121 136. Αντίγραφα Αντίγραφα των παραπάνω δημοσιεύσεων βρίσκονται στην ιστοσελίδα: http://www.math.uoc.gr/ chatzipa/pubs/pubs.html Εργασίες υπό προετοιμασία Some error estimates for the finite volume element method for parabolic integro differential equations, (σεσυνεργασίαμετους R. Lazarov, R. Sinhaκαι V. Thomée). Self-adaptive two step backward difference methods,(σε συνεργασία με την E. Aliberdi). On positivity preservation in some finite element methods for the heat equation,(σε συνεργασία με τους Z. Hovárth και V. Thomée). Αναφορές Μέχρι 4/1/2015(Web of Science, Thomson Reuters). Συνολικός αριθμός αναφορών: 244, χωρίς ετεροαναφορές: 232, Δείκτης h:6

Βιογραφικό σημείωμα του Παναγιώτη Χατζηπαντελίδη 6 Επιπλέον πληροφορίες Γλώσσες προγραμματισμού Η/Υ: Python, Fortran, Matlab Συμμετοχή σε επιτροπές του τμήματος Μαθηματικών: Επιτροπή προπτυχιακών σπουδών(2006 2013), Επιτροπή ιστοσελίδας(2006 2008), Επιτροπή Θερινού Σχολείου Μαθηματικών(2006 2008) Συμμετοχή σε επιτροπές του τμήματος Μαθηματικών & Εφαρμοσμένων Μαθηματικών: Επιτροπή προπτυχιακών σπουδών(2013 τώρα), Επιτροπή τεχνολογίας(2013-τώρα) Συγκλιτική Επιτροπή Τεχνολογιών Πληροφορικής και Επικοινωνιών,(2014-τώρα) Refereed για: Mathematics of Computation, SIAM J. Numerical Analysis, Numerische Mathematik, Numerical Methods for PDE s, Applied Numerical Mathematics, Computer Methods in Applied Mechanics and Engineering, Journal of Computational and Applied Mathematics Στρατιωτική Θητεία: Μάρτιος 1998 Σεπτέμβριος 1999.

Βιογραφικό σημείωμα του Παναγιώτη Χατζηπαντελίδη 7 Συμπλήρωμα: Ετεροαναφορές δημοσιεύσεων Διδακτορική Εργασία: 1. G. Kossioris, Ch. Makridakis and P.E. Souganidis, Finite volume schemes for Hamilton-Jacobi equations, Numerische Mathematik, 83, (1999), pp. 427 442. Εργασία 1: Explicit multistep methods for nonstiff partial differential equations, Applied Numerical Mathematics, 27,(1998), 13 31. 1. Behzadi, S.S., Yildirim, A., Application of quintic B-Spline collocation method for solving the coupled- BBM system, (2013) Middle East Journal of Scientific Research, 15 (11), pp. 1478-1486. 2. Liu, Y., Li, H., Du, Y., Wang, J., Explicit multistep mixed finite element method for RLW equation, Abstract and Applied Analysis, 2013, (2013), art. no. 768976 3. Mei, L., Chen, Y. Explicit multistep method for the numerical solution of RLW equation (2012) Applied Mathematics and Computation, 218 (18), pp. 9547-9554. 4. Antonopoulos, D.C., Dougalis, V.A., Mitsotakis, D.E., Numerical solution of Boussinesq systems of the Bona-Smith family, Applied Numerical Mathematics, 60 (4), (2010), pp. 314-336. 5. Liu, L., Mei, M., Wong, Y.S., Asymptotic behavior of solutions to the Rosenau-Burgers equation with a periodic initial boundary, Nonlinear Analysis, Theory, Methods and Applications, 67(8), (2007), pp. 2527 2539. 6. Akrivis, G., Karakashian, O., Karakatsani, F., Linearly implicit methods for nonlinear evolution equations, Numerische Mathematik 94(3), (2003), pp. 403 418. Εργασία 2: A finite volume method based on the Crouzeix Raviart element for elliptic pde s in two dimensions, Numeriche Mathematik, 82,(1999), 409 432. 1. Zhang, Z.M., Zou, Q.S., Some recent advances on vertex centered finite volume element methods for elliptic equations, (2013) Science China Mathematics, 56 (12), pp. 2507-2522. 2. Kumar, S., On the approximation of incompressible miscible displacement problems in porous media by mixed and standard finite volume element methods, (2013) International Journal of Modeling, Simulation, and Scientific Computing, 4 (3), art. no. 1350013. 3. Bi, C., Lin, Y., Yang, M., Finite volume element method for monotone nonlinear elliptic problems, Numerical Methods for Partial Differential Equations, 29 (4), (2013), pp. 1097-1120. 4. Luo, X., Chen, Y., Huang, Y., Some error estimates of finite volume element approximation for elliptic optimal control problems, International Journal of Numerical Analysis and Modeling, 10 (3), (2013), pp. 697-711. 5. Luo, X.B., Chen, Y.P., Huang, Y.Q., A priori error estimates of finite volume element method for hyperbolic optimal control problems, Science China Mathematics, 56 (5), (2013), pp. 901-914. 6. Shakeri, F., Dehghan, M., A high order finite volume element method for solving elliptic partial integrodifferential equations, Applied Numerical Mathematics, 65, (2013), pp. 105-118. 7. Li, J., Chen, Z., On the semi-discrete stabilized finite volume method for the transient Navier-Stokes equations Advances in Computational Mathematics, 38 (2), (2013), pp. 281-320. 8. Lv, J., Li, Y. Optimal biquadratic finite volume element methods on quadrilateral meshes (2012) SIAM Journal on Numerical Analysis, 50 (5), pp. 2379-2399. 9. Li, J., Chen, Z., He, Y. A stabilized multi-level method for non-singular finite volume solutions of the stationary 3D Navier-Stokes equations (2012) Numerische Mathematik, 122 (2), pp. 279-304.

Βιογραφικό σημείωμα του Παναγιώτη Χατζηπαντελίδη 8 10. Chen, Z., Wu, J., Xu, Y. Higher-order finite volume methods for elliptic boundary value problems (2012) Advances in Computational Mathematics, 37 (2), pp. 191-253. 11. Kumar, S. A mixed and discontinuous Galerkin finite volume element method for incompressible miscible displacement problems in porous media (2012) Numerical Methods for Partial Differential Equations, 28 (4), pp. 1354-1381. 12. Shakeri, F., Dehghan, M. The finite volume spectral element method to solve Turing models in the biological pattern formation (2011) Computers and Mathematics with Applications, 62 (12), pp. 4322-4336. 13. Bi, C., Ginting, V., Finite-volume-element method for second-order quasilinear elliptic problems, IMA Journal of Numerical Analysis, 31 (3), (2011), pp. 1062-1089. 14. Yang, M., A posteriori error analysis of nonconforming finite volume elements for general second-order elliptic PDEs, Numerical Methods for Partial Differential Equations, 27 (2), (2011), pp. 277-291. 15. Gastaldo, L., Herbin, R., Latche, J.-C., A discretization of the phase mass balance in fractional step algorithms for the drift-flux model, IMA Journal of Numerical Analysis, 31 (1), (2011), pp. 116-146. 16. Shakeri, F., Dehghan, M., A finite volume spectral element method for solving magnetohydrodynamic (MHD) equations, Applied Numerical Mathematics, 61 (1), (2011), pp. 1-23. 17. Lv, J., Li, Y., L2 error estimate of the finite volume element methods on quadrilateral meshes, Advances in Computational Mathematics, 33 (2), (2010), pp. 129-148. 18. El Alaoui, L., An adaptive finite volume box scheme for solving a class of nonlinear parabolic equations, Applied Mathematics Letters 22 (3), pp. 291-296, (2009). 19. Rui, H., Bi, C., Convergence analysis of an upwind finite volume element method with Crouzeix-Raviart element for non-selfadjoint and indefinite problems, Frontiers of Mathematics in China 3 (4), pp. 563-579, (2008). 20. He, G., He, Y., Chen, Z., A penalty finite volume method for the transient Navier-Stokes equations, Applied Numerical Mathematics 58 (11), pp. 1583-1613, (2008). 21. Bi, C., Chen, W., Mortar finite volume element method with Crouzeix-Raviart element for parabolic problems, Applied Numerical Mathematics 58 (11), pp. 1642-1657, (2008). 22. Djadel, K., Nicaise, S., A non-conforming finite volume element method of weighted upstream type for the two-dimensional stationary Navier-Stokes system, Applied Numerical Mathematics, 58 (5), pp. 615-634, (2008). 23. He, G., He, Y., The finite volume method based on stabilized finite element for the stationary Navier-Stokes problem, Journal of Computational and Applied Mathematics, 205 (1), (2007), pp. 651-665. 24. He, G.L., He, Y.N., Feng, X.N., Finite volume method based on stabilized finite elements for the nonstationary Navier-Stokes problem Numerical Methods for Partial Differential Equations, 23(5), pp. 1167-1191, (2007). 25. He, G., Zhang, Y., Xiaoqin, H. The locally stabilized finite volume method for incompressible flow, Applied Mathematics and Computation, 187(2), (2007), pp. 1399-1409. 26. Bi, C., Rui, H. Uniform convergence of finite volume element method with Crouzeix-Raviart element for non-self-adjoint and indefinite elliptic problems, Journal of Computational and Applied Mathematics, 200 (2), (2007), pp. 555-565. 27. Bi, C. Mortar upwind finite volume element method for convection diffusion problems, Applied Mathematics and Computation (New York), 183 (2), (2006), pp. 831-841.

Βιογραφικό σημείωμα του Παναγιώτη Χατζηπαντελίδη 9 28. Zhang, S. On domain decomposition algorithms for covolume methods for elliptic problems, Computer Methods in Applied Mechanics and Engineering, 196(1-3), (2006), pp. 24-32. 29. Bi, C., Hong, D., Cascadic multigrid method for the mortar element method for P1 nonconforming element, Journal Computational Mathematics, 23, (2005), pp. 425 440. 30. Plexousakis, M., Zouraris, G.E., On the construction and analysis of high order locally conservative finite volume-type methods for one-dimensional elliptic problems, SIAM Journal on Numerical Analysis, 42(3), (2004), pp. 1226 1260. 31. Bi, C., Li, L., Mortar finite volume method with ADINI element for biharmonic problem, Journal Computational Mathematics, 22, (2004), pp. 475 488. 32. Djadel, K., Nicaise, S., Some refined finite volume methods for the stokes and Navier-Stokes systems with corner singularities, J. Numerical Analysis, 12, (2004), pp. 255 284. 33. Bi, C., Li, L., The mortar finite volume method with the Crouzeix-Raviart element for elliptic problems, Computer Methods in Applied Mechanics and Engineering, 192(1-2), (2003), pp. 15-31. 34. Ewing, R.E., Lin, T., Lin, Y., On the Accuracy of the Finite Volume Element Method Based on Piecewise Linear Polynomials, SIAM Journal on Numerical Analysis, 39(6), (2002), pp. 1865 1888. 35. K. Djadel, S. Nicaise and J. Tabka, Some refined finite volume methods for elliptic problems with corner singularities, Finite volumes for complex applications, III(Porquerolles, 2002), Lab. Anal. Topol. Probab. CNRS, Marseille, (2002), pp. 715 722. Εργασία 3: Finite volume methods for elliptic pde s: A new approach, M2AN Mathematical Modelling and Numerical Analysis, 36,(2002), 307 324. 1. Xiong, Z., Chen, Y., A triangular finite volume element method for a semilinear elliptic equation, (2014) Journal of Computational Mathematics, 32 (2), pp. 152-168. 2. Bush, L., Ginting, V., On the application of the continuous galerkin finite element method for conservation problems, (2013) SIAM Journal on Scientific Computing, 35 (6), pp. A2953-A2975. 3. Kumar, S., On the approximation of incompressible miscible displacement problems in porous media by mixed and standard finite volume element methods (2013) International Journal of Modeling, Simulation, and Scientific Computing, 4 (3), art. no. 1350013. 4. Bi, C., Lin, Y., Yang, M., Finite volume element method for monotone nonlinear elliptic problems, Numerical Methods for Partial Differential Equations, 29 (4), (2013), pp. 1097-1120. 5. Yu, C., Li, Y., Biquadratic finite volume element method based on optimal stress points for second order hyperbolic equations, Numerical Methods for Partial Differential Equations, 29 (3), (2013), pp. 738-756. 6. Lv, J., Li, Y., Optimal biquadratic finite volume element methods on quadrilateral meshes, SIAM Journal on Numerical Analysis, 50 (5), (2012), pp. 2379-2399. 7. Feng, X., Li, R., He, Y., Liu, D., P 1-nonconforming quadrilateral finite volume methods for the semilinear elliptic equations, Journal of Scientific Computing, 52 (3), (2012), pp. 519-545. 8. Kumar, S. A mixed and discontinuous Galerkin finite volume element method for incompressible miscible displacement problems in porous media, Numerical Methods for Partial Differential Equations, 28 (4), (2012), pp. 1354-1381. 9. Erath, C., Coupling of the finite volume element method and the boundary element method: An a priori convergence result, SIAM Journal on Numerical Analysis, 50 (2), (2012), pp. 574-594. 10. Ding, Y., Li, Y., Finite volume element method with Lagrangian cubic functions, Journal of Systems Science and Complexity, 24 (5), (2011), pp. 991-1006.

Βιογραφικό σημείωμα του Παναγιώτη Χατζηπαντελίδη 10 11. Ye, X., A posterior error estimate for finite volume methods of the second order elliptic problem, (2011) Numerical Methods for Partial Differential Equations, 27 (5), pp. 1165-1178. 12. Bi, C., Ginting, V., Finite-volume-element method for second-order quasilinear elliptic problems, (2011) IMA Journal of Numerical Analysis, 31 (3), pp. 1062-1089. 13. Cui, M., Ye, X., Unified analysis of finite volume methods for the Stokes equations, (2010) SIAM Journal on Numerical Analysis, 48 (3), pp. 824-839. 14. Bi, C.J. and Geng, J.Q., Discontinuous Finite Volume Element Method for Parabolic Problems, Numerical Methods for Partial Differential, 26 (2), pp. 367-383, (2010). 15. Yang, M., Two-time level ADI finite volume method for a class of second-order hyperbolic problems, Applied Mathematics and Computation, 215 (9), pp. 3239-3248, (2010). 16. Wang, J., Wang, Y., Ye, X., A new finite volume method for the stokes problems, International Journal of Numerical Analysis and Modeling 7 (2), pp. 281-302, (2010). 17. Bi, C., Ginting, V., A residual-type a posteriori error estimate of finite volume element method for a quasi-linear elliptic problem, Numerische Mathematik, 114 (1), pp. 107-132, (2009). 18. Kumar, S., Nataraj, N., Pani, A.K., Discontinuous Galerkin Finite Volume Element Methods for Second- Order Linear Elliptic Problems, Numerical Methods for Partial Differential Equations, 25 (6), pp. 1402-1424, (2009). 19. Rui, H., Bi, C., Convergence analysis of an upwind finite volume element method with Crouzeix-Raviart element for non-selfadjoint and indefinite problems, Frontiers of Mathematics in China 3 (4), pp. 563-579, (2008). 20. Cui, M., Ye, X., Superconvergence of Finite Volume Methods for the Stokes Equations, Numerical Methods for Partial Differential Equations, 25 (5), pp. 1212-1230, (2009). 21. Yang, M., Song, H., A postprocessing finite volume element method for time-dependent Stokes equations, Applied Numerical Mathematics 59 (8), pp. 1922-1932, (2009) 22. Yang, M., Liu, J., Chen, C., Error estimation of a quadratic finite volume method on right quadrangular prism grids, Journal of Computational and Applied Mathematics 229 (1), pp. 274-282, (2009) 23. Chen, C., Yang, M., Bi, C., Two-grid methods for finite volume element approximations of nonlinear parabolic equations, Journal of Computational and Applied Mathematics 228 (1), pp. 123-132, (2009) 24. Zhang, Z.Y., Error Estimates of Finite Volume Element Method for the Pollution in Groundwater Flow, Numerical Methods for Partial Differential Equations, 25 (2), pp. 259-274, (2009). 25. Xiong, Z., Chen, Y., A rectangular finite volume element method for a semilinear elliptic equation, Journal of Scientific Computing 36 (2), pp. 177-191, (2008) 26. Kumar, S., Nataraj, N., Pani, A.K., Finite volume element method for second order hyperbolic equations, International Journal of Numerical Analysis and Modeling 5 (1), pp. 132-151, (2008) 27. Bi, C., Ginting, V., Two-grid finite volume element method for linear and nonlinear elliptic problems, Numerische Mathematik, 108(2), pp. 177-198 (2007) 28. Karakatsani, F., Makridakis, C., Title: A posteriori estimates for approximations of time-dependent Stokes equations, IMA Journal of Numerical Analysis, 27(4), 741-764, (2007). 29. Chou, S.H., Ye, X., Unified analysis of finite volume methods for second order elliptic problems, SIAM Journal on Numerical Analysis, 45(4), pp. 1639-1653, (2007).

Βιογραφικό σημείωμα του Παναγιώτη Χατζηπαντελίδη 11 30. Xiong, Z., Chen, Y., Finite volume element method with interpolated coefficients for two-point boundary value problem of semilinear differential equations, Computer Methods in Applied Mechanics and Engineering, 196(37-40), pp. 3798-3804, (2007). 31. Bi, C., Rui, H., Uniform convergence of finite volume element method with Crouzeix-Raviart element for non-self-adjoint and indefinite elliptic problems, Journal of Computational and Applied Mathematics, 200(2), pp. 555-565, (2007). 32. Bi, C., Superconvergence of finite volume element method for a nonlinear elliptic problem, Numerical Methods for Partial Differential Equations, 23(1), pp. 220-233, (2007). 33. Sinha, R., Geiser, J., Error estimates for finite volume element methods for convection-diffusion-reaction equations, Applied Numerical Mathematics, 57(1), pp. 59-72, (2007). 34. Sinha, R., Ewing, R.E., Lazarov, R.D., Some new error estimates of a semidiscrete finite volume element method for a parabolic integro-differential equation with nonsmooth initial data, SIAM Journal on Numerical Analysis, 43(6), pp. 2320-2343, (2006). 35. Man, F., Shi, Z., P-1-nonconforming quadrilateral finite volume element method and its cascadic multigrid algorithm for elliptic problems, Journal of Computational Mathematics, 24(1) pp. 59-80, (2006) 36. Plexousakis, M., Zouraris, G.E., On the construction and analysis of high order locally conservative finite volume-type methods for one-dimensional elliptic problems, SIAM Journal on Numerical Analysis, 42(3), (2004), pp. 1226 1260. 37. Ginting, V., Analysis of two scale finite volume element method for elliptic problems, Journal of Numerical Mathematics, 12 (2), pp. 119-141, (2004). Εργασία 4: On solving elliptic stochastic partial differential equations,(σε συνεργασία με τον I. Babuška), Computer Methods in Applied Mechanics and Engineering, 191,(2002), 4093 4122. 1. Wang, X., Cao, L., Wong, Y. Multiscale approach for stochastic elliptic equations in heterogeneous media, (2014) APPLIED NUMERICAL MATHEMATICS, 85, pp. 54-76. 2. Bonizzoni, F., Buffa, A., Nobile, F. Moment equations for the mixed formulation of the Hodge Laplacian with stochastic loading term, (2014) IMA JOURNAL OF NUMERICAL ANALYSIS, 34, pp. 1328-1360. 3. Kim, N., Lee, H-C., Sparse Grid Collocation Method for an Optimal Control Problem Involving a Stochastic Partial Differential Equation with Random Inputs, (2014) EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 4, pp. 166-188. 4. Choi, Y., Kim, S., Lee, H-C. FINITE ELEMENT APPROXIMATIONS OF THE OPTIMAL CONTROL PROBLEMS FOR STOCHASTIC STOKES EQUATIONS, (2014) BULLETIN OF THE KOREAN MA- THEMATICAL SOCIETY, 51, pp. 847-862. 5. Subber, W., Loisel, S., Schwarz preconditioners for stochastic elliptic PDEs, (2014) Computer Methods in Applied Mechanics and Engineering, 272, pp. 34-57. 6. Traverso, L., Phillips, T.N., Yang, Y., Efficient stochastic FEM for flow in heterogeneous porous media. part 1: Random Gaussian conductivity coefficients, (2014) International Journal for Numerical Methods in Fluids, 74 (5), pp. 359-385. 7. Subber, W., Sarkar, A., A domain decomposition method of stochastic PDEs: An iterative solution techniques using a two-level scalable preconditioner, (2014) Journal of Computational Physics, 257 (PA), pp. 298-317. 8. Heitzinger, C., Ringhofer, C., Multiscale modeling of fluctuations in stochastic elliptic pde models of nanosensors, (2014) Communications in Mathematical Sciences, 12 (3), pp. 401-421.

Βιογραφικό σημείωμα του Παναγιώτη Χατζηπαντελίδη 12 9. Kim, N., Lee, H.-C., Sparse grid collocation method for an optimal control problem involving a stochastic partial differential equation with random inputs, (2014) East Asian Journal on Applied Mathematics, 4 (2), pp. 166-188. 10. Cong, C., Cai, X.-C., Gustafson, K., Implicit space-time domain decomposition methods for stochastic parabolic partial differential equations, (2014) SIAM Journal on Scientific Computing, 36 (1), pp. C1- C24. 11. Choi, Y., Kim, S., Lee, H.-C., Finite element approximations of the optimal control problems for stochastic Stokes equations, (2014) Bulletin of the Korean Mathematical Society, 51 (3), pp. 847-862. 12. Gunzburger, M.D., Webster, C.G., Zhang, G., Stochastic finite element methods for partial differential equations with random input data, (2014) Acta Numerica, 23, pp. 521-650. 13. Harbrecht, H., Peters, M., Siebenmorgen, M., Combination technique based k-th moment analysis of elliptic problems with random diffusion, (2013) Journal of Computational Physics, 252, pp. 128-141. 14. Lee, H.-C., Lee, J., A stochastic GalerkinMethod for stochastic control problems Communications in Computational Physics, 14 (1), (2013), pp. 77-106. 15. Formaggia, L., Guadagnini, A., Imperiali, I., Lever, V., Porta, G., Riva, M., Scotti, A., Tamellini, L., Global sensitivity analysis through polynomial chaos expansion of a basin-scale geochemical compaction model, Computational Geosciences, 17 (1), (2013), pp. 25-42. 16. Gittelson, C.J., Uniformly convergent adaptive methods for a class of parametric operator equations E- SAIM: Mathematical Modelling and Numerical Analysis, 46 (6), (2012), pp. 1485-1508. 17. Fagiano, L., Khammash, M. Simulation of stochastic systems via polynomial chaos expansions and convex optimization (2012) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 86 (3), art. no. 036702. 18. Ullmann, E., Elman, H.C., Ernst, O.G. Efficient iterative solvers for stochastic galerkin discretizations of log-transformed random diffusion problems (2012) SIAM Journal on Scientific Computing, 34 (2), pp. A659-A682. 19. Arnst, M., Ghanem, R. A variational-inequality approach to stochastic boundary value problems with inequality constraints and its application to contact and elastoplasticity (2012) International Journal for Numerical Methods in Engineering, 89 (13), pp. 1665-1690. 20. Murugan, S., Chowdhury, R., Adhikari, S., Friswell, M.I. Helicopter aeroelastic analysis with spatially uncertain rotor blade properties (2012) Aerospace Science and Technology, 16 (1), pp. 29-39. 21. Notin, A., Dulong, J.L., Villon, P., Gayton, N., Lemaire, M., Jaffal, H. RPCM: A strategy to perform reliability analysis using polynomial chaos and resampling-application to fatigue design (2011) Applications of Statistics and Probability in Civil Engineering -Proceedings of the 11th International Conference on Applications of Statistics and Probability in Civil Engineering, pp. 687-694. 22. Hou, L.S., Lee, J., Manouzi, H., Finite element approximations of stochastic optimal control problems constrained by stochastic elliptic PDEs, Journal of Mathematical Analysis and Applications, 384 (1), (2011), pp. 87-103. 23. Gunzburger, M.D., Lee, H.-C., Lee, J., Error estimates of stochastic optimal Neumann boundary control problems, SIAM Journal on Numerical Analysis, 49 (4), (2011), pp. 1532-1552. 24. Erhel, J., Mghazli, Z., Oumouni, M., Calculation of the expectation of the solution of a one-dimensional stochastic PDE using a reduced base [Calcul de l espe rance de la solution d une EDP stochastique unidimensionnelle a l aide d une base re duite], Comptes Rendus Mathematique, 349 (15-16), (2011), pp. 861-865.

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Βιογραφικό σημείωμα του Παναγιώτη Χατζηπαντελίδη 14 44. Li, C.F., Feng, Y.T., Owen, D.R.J., Li, D.F., Davis, I.M., A Fourier-Karhunen-Loeve discretization scheme for stationary random material properties in SFEM, International Journal for Numerical Methods in Engineering, 73(13), pp. 1942-1965, (2008). 45. Rosseel, E., Boonen, T., Vandewalle, S., Algebraic multigrid for stationary and time-dependent partial differential equations with stochastic coefficients, Numerical Linear Algebra with Applications, 15(2-3), pp. 141-163, (2008). 46. Jeremic, B., Sett, K., Kavvas, M.L. Probabilistic elasto-plasticity: Formulation in 1D Acta Geotechnica, (2007), 2(3), pp. 197-210. 47. Rupert, C.P., Miller, C.T., An analysis of polynomial chaos approximations for modeling single-fluid-phase flow in porous medium systems, Journal of Computational Physics, (2007), 226(2), pp. 2175-2205. 48. Jin, C., Cai, X., Li, C., Parallel domain decomposition methods for stochastic elliptic equations, SIAM Journal on Scientific Computing, 29(5), pp. 2096-2114 (2007). 49. Nouy, A., A generalized spectral decomposition technique to solve a class of linear stochastic partial differential equations. Computer Methods in Applied Mechanics and Engineering, (2007) 196(45-48), pp. 4521-4537. 50. Doostan, A., Ghanem, R.G., Red-Horse, J., Stochastic model reduction for chaos representations, Computer Methods in Applied Mechanics and Engineering, (2007), 196(37-40 SPEC. ISS.), pp. 3951-3966. 51. Matthies, H.G., Quantifying uncertainty: Modern computational representation of probability and applications, (2007), NATO Security through Science Series C: Environmental Security, pp. 105-130. 52. Seynaeve, B., Rosseel, E., Nicolai, B., Vandewalle, S. Fourier mode analysis of multigrid methods for partial differential equations with random coefficients, Journal of Computational Physics, (2007), 224(1), pp. 132-149. 53. Pellissetti, M.F., Schueller, G.I., The effects of uncertainties in structural analysis, Structural Engineering and Mechanics, (2007), 25(3), pp. 311-330. 54. Li, C.F., Feng, Y.T., Owen, D.R.J., Davies, I.M., Fourier representation of random media fields in stochastic finite element modelling, Engineering Computations, (2006), 23(7), pp. 794-817. 55. Roman, L.J., Sarkis, M., Stochastic Galerkin method for elliptic SPDEs: A white noise approach, Discrete and Continuous Dynamical Systems - Series B, (2006), 6(4), pp. 941-955. 56. Ghanem, R.G., Doostan, A., On the construction and analysis of stochastic models: Characterization and propagation of the errors associated with limited data. Journal of Computational Physics, (2006), 217(1), pp. 63-81. 57. Wan, X., Karniadakis, G.E., Long-term behavior of polynomial chaos in stochastic flow simulations, Computer Methods in Applied Mechanics and Engineering, (2006), 195(41-43), pp. 5582-5596. 58. Wan, X., Karniadakis, G.E., Beyond Wiener-Askey expansions: Handling arbitrary PDFs, Journal of Scientific Computing, (2006), 27(1-3), pp. 455-465. 59. Xiu, D., Hesthaven, J.S., High-order collocation methods for differential equations with random inputs, SIAM Journal of Scientific Computing, 27 (3), pp. 1118-1139, (2006). 60. Xu, X.F, Graham-Brady, L., Computational stochastic homogenization of random media elliptic problems using fourier galerkin method, Finite Elements in Analysis and Design, (2006), 42(7 SPEC. ISS.), pp. 613-622. 61. Noh, H.C., Effect of multiple uncertain material properties on the response variability of in-plane and plate structures, Computer Methods in Applied Mechanics and Engineering, (2006), 195(19-22), pp. 2697-2718.

Βιογραφικό σημείωμα του Παναγιώτη Χατζηπαντελίδη 15 62. Soize, C., Non-Gaussian positive-definite matrix-valued random fields for elliptic stochastic partial differential operators, Computer Methods in Applied Mechanics and Engineering, 195, (2006), pp. 26-64. 63. Xiu, D., Kevrekidis, I.G., Equation-free, multiscale computation for unsteady random diffusion, Multiscale Modeling and Simulation, (2005), 4(3), pp. 915-935. 64. Desceliers, C., Ghanem, R., Soize, C., Polynomial chaos representation of a stochastic preconditioner, International Journal for Numerical Methods in Engineering, (2005), 64(5), pp. 618-634. 65. Noh, H.C., Choi, C.K., Added effect of uncertain geometrical parameter on the response variability of Mindlin plate, Structural Engineering and Mechanics, (2005), 20(4), pp. 477-493. 66. Keese, A., Matthies, H.G., Hierarchical parallelisation for the solution of stochastic finite element equations, Computers and Structures, (2005), 83(14), pp. 1033-47. 67. Soize, C., Random matrix theory for modeling uncertainties in computational mechanics, Computer Methods in Applied Mechanics and Engineering, 194(12-16), (2005), pp. 1333-1366. 68. Matthies, H.G., Keese, A., Galerkin methods for linear and nonlinear elliptic stochastic partial differential equation, Computer Methods in Applied Mechanics and Engineering, 194, (2005), pp. 1295-1331. 69. Frauenfelder, P., Schwab, C., Todor, R.A., Finite elements for elliptic problems with stochastic coefficients, Computer Methods in Applied Mechanics and Engineering, (2005), 194(2-5 SPEC. ISS.), pp. 205-228. 70. Wang, X., Xiu, D., Karniadakis, G.E.M., Stochastic solutions for the two-dimensional advection diffusion equation, SIAM Journal of Scientific Computing, 26(2), pp. 578-590, (2005). 71. Soize, C., Ghanem, R. Physical systems with random uncertainties: Chaos representations with arbitrary probability measure, SIAM Journal of Scientific Computing, (2005), 26(2), pp. 395-410. 72. Xiu, D., Karniadakis, G.E., Supersensitivity due to uncertain boundary conditions, International Journal for Numerical Methods in Engineering, 61(12), (2004), pp. 2114-2138. 73. Wan, X., Xiu, D., Karniadakis, G.E., Modeling uncertainty in three-dimensional heat transfer problems, Computational Studies, 5, pp. 15-24, (2004). 74. Zhao, B., Deng, F., Luo, Q., Robust stability of linear stochastic systems with distributed parameter, Proceedings of the World Congress on Intelligent Control and Automation (WCICA), 1, pp. 530-534 (2004). 75. Le Maitre, O.P., Knio, O.M., Debusschere, B.J., Najm, H.N., Ghanem, R.G., A multigrid solver for twodimensional stochastic diffusion equations, Computer Methods in Applied Mechanics and Engineering, 192, (2003), pp. 4723 4744. Εργασία 5: The finite volume element method in nonconvex polygonal domains,(σε συνεργασία με τον R. Lazarov), Finite Volumes for Complex Applications III, (Porquerolles, 2002), ed. R. Herbin και D. Kröner, Lab. Anal. Topol. Probab. CNRS, Marseille, (2002), pp.157 164. 1. J. Droniou, Error estimates for the convergence of a finite volume discretization of convection diffusion equations, J. Numer. Math., 11, (2003), pp. 1 32. Εργασία 6: A-posteriori error estimates of a finite volume scheme for the Stokes equations,(σε συνεργασία με τους Χ. Μακριδάκη και Μ. Πλεξουσάκη), Applied Numerical Mathematics, 46,(2003), 45 58. 1. Lin, T., Ye, X., A posteriori error estimates for finite volume method based on bilinear trial functions for the elliptic equation, Dedicated to Prof. Klaus Böhmer in the occasion of his 75th birthday, Journal of Computational and Applied Mathematics, 254, (2013), pp. 185-191.

Βιογραφικό σημείωμα του Παναγιώτη Χατζηπαντελίδη 16 2. Ye, X., A posterior error estimate for finite volume methods of the second order elliptic problem, (2011) Numerical Methods for Partial Differential Equations, 27 (5), pp. 1165-1178. 3. Yang, M., A posteriori error analysis of nonconforming finite volume elements for general second-order elliptic PDEs, (2011) Numerical Methods for Partial Differential Equations, 27 (2), pp. 277-291. 4. Yang, M., Song, H., A postprocessing finite volume element method for time-dependent Stokes equations, Applied Numerical Mathematics 59 (8), pp. 1922-1932, (2009). 5. Li, C., Wu, X., A sinc-collocation method with boundary treatment for the Stokes equations, International Journal for Numerical Methods in Fluids, (2007), 53(6), pp. 1063-76. Εργασία 7: Error estimates for the finite volume element method for parabolic equations in convex polygonal domains,(σε συνεργασία με τους R. Lazarov και V. Thomée), Numerical Methods for Partial Differential Equations, 20,(2004), 650 674. 1. Luo, Z., A reduced-order extrapolation algorithm based on SFVE method and POD technique for nonstationary Stokes equations, (2014) APPLIED MATHEMATICS AND COMPUTATION, 247, pp. 976-995. 2. Bradji, A., A full analysis of a new second order finite volume approximation based on a low-order scheme using general admissible spatial meshes for the unsteady one dimensional heat equation, (2014) Journal of Mathematical Analysis and Applications, 416 (1), pp. 258-288. 3. Luo, X., Chen, Y., Huang, Y., Hou, T., Some error estimates of finite volume element method for parabolic optimal control problems, (2014) Optimal Control Applications and Methods, 35 (2), pp. 145-165. 4. Li, Q.H., Wang, J., Weak Galerkin finite element methods for Parabolic equations, (2013) Numerical Methods for Partial Differential Equations, 29 (6), pp. 2004-2024. 5. Luo, X., Chen, Y., Huang, Y., A priori error estimates of Crank-Nicolson finite volume elementmethod for parabolic optimal control problems, (2013) Advances in Applied Mathematics and Mechanics, 5 (5), pp. 688-704. 6. Chen, C., Liu, W., Bi, C., A two-grid characteristic finite volume element method for semilinear advectiondominated diffusion equations, (2013) Numerical Methods for Partial Differential Equations, 29 (5), pp. 1543-1562. 7. Luo, Z., Li, H., Sun, P., A fully discrete stabilized mixed finite volume element formulation for the nonstationary conduction-convection problem, Journal of Mathematical Analysis and Applications, 404 (1), (2013), pp. 71-85. 8. Yu, C., Li, Y., Biquadratic finite volume element method based on optimal stress points for second order hyperbolic equations, Numerical Methods for Partial Differential Equations, 29 (3), (2013), pp. 738-756. 9. Luo, Z., Li, H., Sun, P., An, J., Navon, I.M., A reduced-order finite volume element formulation based on POD method and numerical simulation for two-dimensional solute transport problems, Mathematics and Computers in Simulation, 89, (2013), pp. 50-68. 10. Luo, X.B., Chen, Y.P., Huang, Y.Q., A priori error estimates of finite volume element method for hyperbolic optimal control problems, Science China Mathematics, 56 (5), (2013), pp. 901-914. 11. Bradji, A., Fuhrmann, J., Some abstract error estimates of a finite volume scheme for a nonstationary heat equation on general nonconforming multidimensional spatial meshes, Applications of Mathematics, 58 (1), (2013), pp. 1-38. 12. Bradji, A., An analysis of a second-order time accurate scheme for a finite volume method for parabolic equations on general nonconforming multidimensional spatial meshes, Applied Mathematics and Computation, 219 (11), (2013), pp. 6254-6271.

Βιογραφικό σημείωμα του Παναγιώτη Χατζηπαντελίδη 17 13. Li, J., Chen, Z., On the semi-discrete stabilized finite volume method for the transient Navier-Stokes equations Advances in Computational Mathematics, 38 (2), (2013), pp. 281-320. 14. Shakeri, F., Dehghan, M., A high order finite volume element method for solving elliptic partial integrodifferential equations Applied Numerical Mathematics, 65, (2013), pp. 105-118. 15. Li, H., Luo, Z., Sun, P., An, J., A finite volume element formulation and error analysis for the nonstationary conduction-convection problem, Journal of Mathematical Analysis and Applications, 396 (2), (2012), pp. 864-879. 16. Li, J., Chen, Z., He, Y., A stabilized multi-level method for non-singular finite volume solutions of the stationary 3D Navier-Stokes equations, Numerische Mathematik, 122 (2), (2012), pp. 279-304. 17. Yang, M., L 2 error estimation of a quadratic finite volume element method for pseudo-parabolic equations in three spatial dimensions, Applied Mathematics and Computation, 218 (13), (2012), pp. 7270-7278. 18. Luo, Z., Li, H., Zhou, Y., Huang, X., A reduced FVE formulation based on POD method and error analysis for two-dimensional viscoelastic problem, Journal of Mathematical Analysis and Applications, 385 (1), (2012), pp. 310-321. 19. Li, H., Generalized difference simulation for coupled transport models of unsaturated soil water flow and solute Journal of the Franklin Institute, 348 (9), (2011), pp. 2378-2389. 20. Yu, C., Li, Y., Biquadratic finite volume element methods based on optimal stress points for parabolic problems, Journal of Computational and Applied Mathematics, 236 (6), (2011), pp. 1055-1068. 21. Yang, M., Liu, J., A quadratic finite volume element method for parabolic problems on quadrilateral meshes, IMA Journal of Numerical Analysis, 31 (3), (2011), pp. 1038-1061. 22. Shakeri, F., Dehghan, M., A finite volume spectral element method for solving magnetohydrodynamic (MHD) equations,) Applied Numerical Mathematics, 61 (1), (2011), pp. 1-23. 23. Wang, T., Alternating direction finite volume element methods for three-dimensional parabolic equations, Numerical Mathematics, 3 (4), (2010), pp. 499-522. 24. Chen, C., Bi, C., Two-grid methods for characteristic finite volume element solution of semilinear convectiondiffusion equations, Applied Mathematics and Computation, 217 (5), (2010), pp. 1896-1906. 25. Zhang, Y., Error estimates of CFVE method for fully nonlinear convection-dominated diffusion problems, Mathematical Methods in the Applied Sciences, 33 (14), (2010), pp. 1692-1698. 26. Wang, T., Gu, Y., Superconvergent biquadratic finite volume element method for two-dimensional Poisson s equations, Journal of Computational and Applied Mathematics, 234 (2), (2010), pp. 447-460. 27. Chen, C. and Liu, W., A two-grid method for finite volume element approximations of second-order nonlinear hyperbolic equations, Journal of Computational and Applied Mathematics 233 (11), pp. 2975-2984, (2010). 28. Bi, C.J. and Geng, J.Q., Discontinuous Finite Volume Element Method for Parabolic Problems, Numerical Methods for Partial Differential Equations, 26 (2), pp. 367-383, (2010). 29. Gao, G.H. and Wang, T.K., Cubic superconvergent finite volume element method for one-dimensional elliptic and parabolic equations, Journal of Computational and Applied Mathematics, 233(9), pp. 2285-2301, (2010). 30. Chen, C.J. and Liu, W., Two-grid finite volume element methods for semilinear parabolic problems, Applied Numerical Mathematics, 60 (1-2), pp. 10-18, (2010). 31. Yang, M., Bi, C. and Liu, J., Postprocessing of a finite volume element method for semilinear parabolic problems, ESAIM-Mathematical Modelling and Numerical Analysis 43 (5), pp. 957-971, (2009).