Curriculum Vitae: Charalambos G. Makridakis

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1 Curriculum Vitae: Charalambos G. Makridakis Department of Applied Mathematics, University of Crete, Greece, and Institute of Applied and Computational Mathematics, FORTH Heraklion-Crete, Greece makr Birthdate, Birthplace : October 19, 1962, Rethymnon, Crete EDUCATION: 1990 Ph.D., Mathematics, University of Crete 1986 M.Sc., Mathematics, University of Crete 1984 B.Sc., Mathematics, University of Crete ACADEMIC EMPLOYMENT Professor, Department of Applied Mathematics, Univ. of Crete Associate Professor, Department of Applied Mathematics Assistant Professor, Lecturer, Department of Mathematics, Univ. of Crete Visiting Assistant Professor, Department of Mathematics, Univ. of Tennessee, US Research Associate, Department of Mathematics, Univ. of Maryland at College Park, US. VISITING POSITIONS November-December 2012, Senior Fellow, Institute for Pure and Applied Mathematics (IPAM) Program on Materials Defects: Mathematics, Computation, and Engineering UCLA, US. October-December 2009, Visiting Fellow, OxMOS, University of Oxford, UK. February 2001, Invited Professor, DMA, École Normale Supérieure, Paris, France. August 1999, CEMRACS 99, CIRM, France. January 1998, Institut Mittag-Leffler, Sweden, Visiting Member in the Special Year on Numerical Analysis. June 1995 and 2006, Invited Professor, IRMAR, Université de Rennes I, France. ADMINISTRATION AND RESEARCH RELATED ACTIVITIES Chairman, Department of Applied Mathematics, UC, since to Proposal for the creation of Department of Applied Mathematics, UC, 1999 (Co-Scientific Officer in Charge of the Project) Operation and development of the Department of Applied Mathematics, UC, (Co-Scientific Officer in Charge of the Project) RT Network: HYKE ( (Member of the Training Committee) Marie Curie Host Site at IACM-FORTH: Modeling and Computations in Wave Propagation, (Member of the Steering Committee) Marie Curie Multi-Site EST Differential Equations in Science and Engineering, (Sc. in Charge of the FORTH/UC team, Member of the Steering Committee) REGPOT project ACMAC - Archimedes Center for Modeling, Analysis and Computation, (Member of the Steering Committee) ORGANIZATION OF CONFERENCES AND WORKSHOPS Theoretical and Numerical Aspects of Hyperbolic Systems, FORTH-Crete, June-July 1998 (Member of the Organizing Committee) Workshop on Numerical Methods for Viscosity Solutions and Applications, 1

2 2 Ch. Makridakis CV Heraklion, May 1999 (Organizer with C. Elliot, M. Falcone, C. Verdi) Workshop on Numerical Methods for Hyperbolic Conservation Laws, Valencia, May 2000 (Member of the Scientific Committee) Final TMR Conference: Systems of Hyperbolic Conservation Laws, ENS, Paris, September 2000 (Member of the Scientific Committee) Modeling and Numerical Methods for Multiscale Problems, Heraklion, June 2003 (Organizer with A.Tzavaras) Series of Workshops on Numerical Methods for Evolution Equations, Heraklion, (2002 : Organizer with V. Thomee), (2004, 2006, 2008, 2010 : Organizer with V. Dougalis and V. Thomee) Invited symposium organizer, international conference ENUMATH, Leicester, September 2011 Modern Techniques in the Numerical Solution of Partial Differential Equations, Heraklion, Crete, September 2011 (Organizer with Y. Maday, A. Quarteroni, and E. Süli) SELECTED INVITED LECTURES Hyperbolic Conservation Laws and Continuum Physics (a conference in honor of C. Dafermos), Heidelberg, December 2001 Workshop Foundations of Numerical Algorithms for PDEs, Foundations of Computational Mathematics International Conference (FoCM05), Santander, Spain, July 2005 A Posteriori Error Estimation and Adaptive Procedures from 1976 to Symposium in Honor of Prof. Ivo Babuška. US Comput. Mech. Conf., Austin, Texas, July 2005 Journées d analyse fonctionnelle et numérique en l honneur de Michel Crouzeix, Morbihan, France, June 2006 Eleventh International Conference on Hyperbolic Problems: Theory, Numerics, Applications, Ecole Normale Supérieure de Lyon, Lyon, France, July 2006 International Conference on Recent Trends in Computational PDEs IIT Bombay December 2008 (Conference for the Celebrations of 50 years of IIT Bombay) Hyperbolic Conservation Laws, Oberwolfach, 2008 NUMAN 2009, Chania, September 2009 Efficient mesh adaptation methods for evolution problems: theory and applications, WPI, University of Vienna, Vienna, December 2011 The 2012 John H. Barrett Lectures, University of Tennessee, May DOCTORAL STUDENTS P. Chatzipandelidis, PhD (Direction of part of the PhD thesis.) The part is related to a new formulation of finite volume element methods for elliptic problems. The results established a novel connection of finite volume to finite element methods. P. Chatzipandelidis is an Assistant Professor with tenure at the Dept. of Mathematics of the University of Crete. Ch. Arvanitis, PhD Thesis on finite element methods and computational techniques for shock computations. He introduced a geometric type adaptivity and observed the stabilization features associated with it. F. Karakatsani, PhD Thesis on a posteriori error control of time dependent Stokes equations. She was a post-doctoral researcher in the group of E. Bänsch at the University of Erlangen, a research scientist at BCAM in Bilbao, and now a Research Associate at the University of Strathclyde. N. Sfakianakis, PhD Thesis on adaptive finite difference schemes for hyperbolic conservation laws. He was a post-doctoral researcher in the group of C. Schmeiser at the University of Vienna until March He is now assistant at the University of

3 Ch. Makridakis CV 3 Mainz and recipient of a von Humboldt fellowship. E. Kyza,, PhD Thesis on error control of nonlinear parabolic and Schrödinger equations. She was postdoctoral researcher at the University of Maryland, College Park from She has now a prestigious postdoctoral fellowship from the Ministry of Education in Greece. Starting spring of 2013 she will be a Lecturer at the University of Dundee. POSTDOCTORAL RESEARCHERS L. Gosse was post doc for two years He worked on a posteriori error control for difference schemes for shock computations. He is now a permanent senior researcher at IAP-CNR Rome. C. Simeonni was post-doc in She worked on relaxation schemes for Navier-Stokes equations. She is now Maitre de confrences at the Univ. of Nice. E. Cuesta was post-doc in He worked on error control of fully nonlinear parabolic problems. He is now Assistant Professor at the Univ. Valladolid. O. Lakkis was post-doc for two years He worked on a posteriori estimates with reconstruction technique for fully discrete parabolic problems. He is now Senior Lecturer at the Univ. Sussex. N. Gupta is a post-doc at the Univ. of Crete since December 2010 is working on adaptive methods for optimal control problems. J. Giesselmann is a post-doc at the Univ. of Crete since September 2011 is working on numerical schemes for the Navier-Stokes-Korteweg system. COLLABORATORS: I. Babuška (Texas), P. Monk (Delaware), G. Akrivis (Ioannina), M. Crouzeix (Rennes), O. Karakashian (Tennessee), Th. Katsaounis, M. Plexoussakis, G. Kossioris (Crete), P. Souganidis (Chicago), A. Tzavaras (Crete), B. Perthame (Paris), R. Nochetto (Maryland), A. Dedner (Warwick), M. Ohlberger (Münster), A. Demlow (Kentuky), E. Bänsch (Erlangen), T. Pryer (Kent), E. Georgoulis (Leicester), C. Ortner (Warwick), E. Süli (Oxford), Ch. Lubich (Tübingen). LIST OF RESEARCH GRANTS IN THE LAST 10 YEARS PI of the Marie-Curie Fellowship for A. Tzavaras, and of the Marie-Curie Reintegration Grant of G. Karali : Total Budget: 182,300 Euros. European Union IHP project Hyperbolic and Kinetic Equations (HYKE), was a large European network with total budget approximately 1.5 M Euros. I was member of the Training Committee of the Network, and co-pi of the FORTH-Crete team, Budget of the Greek team: 190,000 Euros, Jul Jul European Union Marie-Curie host development fellowships Modeling and Computation in Wave Propagation (FORTH, Greece). I was member of the proposal and the steering committees and advised postdocs hired through this grant, Budget 373,000 Euros, Jul Aug European Union Early Stage Training project Differential Equations with Applications to Science and Engineering, This was a European Doctoral School involving teams of ENS-Paris, U. Hamburg, U. Vienna, U. Toulouse and UoC/FORTH, Crete for training of graduate students, Budget (of FORTH team):

4 4 Ch. Makridakis CV 350,000 Euros, July Aug I was PI of the FORTH/UoC team, member of the Steering Committee of the network and supervisor of two PhD candidates. Archimedes Center for Modeling, Analysis and Computation (ACMAC), Regpot 2009-I Program of European Commission, Budget 2,590,000 Euros. This is a grant supporting the initiation of a Research Center within the Applied Mathematics Department at the University of Crete. (Member of the proposal committee and of Steering Committee.) Apr 2010-Mar Research Grant Excellence, Budget 150,000 Euros ( ). This is a personal grant within the funding scheme Excellence of the National Research Council of Greece. TEACHING EXPERIENCE : Calculus III (University of Maryland), Calculus II, Ordinary Differential Equations, Numerical Algorithms (University of Tennessee) : (Undergraduate Courses) Advanced Calculus, Calculus, Linear Algebra, Numerical Solution of Differential Equations, Introduction to Numerical Analysis, Numerical Methods for Differential Equations, Numerical Methods for PDE s, Optimization (University of Crete) : (Advanced Undergraduate and Graduate Courses) Numerical Methods for Partial Differential Equations, Numerical Analysis, Topics on Theory and Numerical Methods for Nonlinear PDEs, Scientific Software for Adaptive Mesh Refinement Techniques I, II, Mathematical Methods in Signal Processing, Stochastic Analysis, Computational Fluid Mechanics, Computational Methods in Mathematical Finance (University of Crete) CURRENT RESEARCH INTERESTS Multiscale Adaptive Modeling and Algorithms. Static atomistic/continuum coupling Dynamic atomistic/continuum coupling Kinetic/continuum coupling Coarse grained time integrators Multiscale methods for the Helmholtz equation. Adaptive Methods for Evolutionary Problems Geometric/Anisotropic adaptivity - Isogeometric methods Error control driven algorithms. Convergence of adaptive algorithms Space-time adaptivity Wave Propagation Problems. Shock-wave propagation problems DG methods for linear transport Error control for wave equations Computational methods for dispersive wave equations Computational methods for high frequency wave propagation problems Problems in Fluid Mechanics.

5 Ch. Makridakis CV 5 Error control for Navier-Stokes Efficient solvers for Navier-Stokes: non-standard time discretizations (fractional step, projection methods) Adaptive methods for turbulent models Isothermal Navier-Stokes Korteweg system Material Defects Computational methods for material defects for static problems Computational methods for dynamic crack growth and dislocation motion

6 6 Ch. Makridakis CV LIST OF PUBLICATIONS (1) A posteriori error estimates for discontinuous Galerkin Methods for the Generalized Korteweg-de Vries Equation (with O. Karakashian) Preprint (2) On ghost-force free atomistic/continuum energies (with D. Mitsoudis and P. Rosakis) Preprint (3) Error control for discontinuous Galerkin methods for first order hyperbolic problems (with E. Georgoulis and E. Hall) Preprint (4) Elliptic reconstruction and duality in a posteriori error analysis for parabolic problems (with O. Lakkis and T. Pryer) Preprint Inverse chronological listing (5) Energy consistent DG methods for the Navier-Stokes-Korteweg system (with J. Giesselmann and T. Pryer) Math. Comp. to appear. (6) Interior a posteriori error estimates for time discrete approximations of parabolic problems (with C. Lubich) Numer. Math. to appear. (7) Helmholtz equation with artificial boundary conditions in a two-dimensional wavequide (with D. Mitsoudis, M. Plexoussakis), SIAM J. Math. Anal. to appear. (8) Control estimates and well-posedness of an inverse subsidence problem in geomechanics (with E. Vairaktaris), Inverse Problems in Science and Engineering to appear. (9) A posteriori L (L 2 )-error bounds in finite element approximation of the wave equation (with E. Georgoulis and O. Lakkis) IMA J. Numer. Anal. to appear. (10) Finite Element Analysis of Cauchy-Born Approximations to Atomistic Models (with E. Süli), Arch. Rational Mech. Anal., in press. (11) A posteriori error control for fully discrete Crank-Nicolson schemes (with E. Bänsch and F. Karakatsani) SIAM J. Numer. Anal., in press. (12) The effect of mesh modication in time on the error control of fully discrete approximations for parabolic equations (with E. Bänsch and F. Karakatsani) To appear in Appl. Numer. Math. Available online, September 2011 (13) Stress-based atomistic/continuum coupling: a new variant of the quasicontinuum approximation (with C. Ortner and E. Süli) Int. J. Multiscale Comp. Eng. 10 (2012), (14) A new discontinuous Galerkin scheme for the numerical solution of flow problems with discontinuities (with I. Toulopoulos) Int. J. Numer. Meth. Fluids 68 (2012) (15) Analysis for time discrete approximations of blow-up solutions of semilinear parabolic equations (with I. Kyza) SIAM J. Numer. Anal. 49 (2011) (16) Galerkin and Runge-Kutta methods: unified formulation, a posteriori error estimates and nodal superconvergence (with G. Akrivis and R. Nochetto), Numer. Math. 118 (2011), (17) A priori error analysis of two force-based atomistic/continuum models of a periodic chain (with C. Ortner and E. Süli) Numer. Math. 119 (2011) (18) Error control for time-splitting spectral approximations of the semiclassical Schrödinger equation, (with I. Kyza, M. Plexoussakis) IMA J. Numer. Anal. 31 (2011), (19) Sharply localized pointwise a posteriori error estimates for parabolic problems, (with A. Demlow) Math. Comp. 79 (2010),

7 Ch. Makridakis CV 7 (20) Entropy conservative schemes and adaptive mesh selection for hyperbolic conservation laws (with Ch. Arvanitis and N. Sfakianakis) J. Hyperbolic Differ. Equ. 7 (2010), (21) Pointwise a posteriori error estimates for parabolic problems via elliptic reconstruction, (with A. Demlow, O. Lakkis) SIAM J. Numer. Anal. 47 (2009), (22) A posteriori error control for Runge-Kutta discretizations of evolution problems (with G. Akrivis and R. Nochetto), Numer. Math. 114 (2009), (23) A posteriori error estimates and maximal regularity for approximations of fully nonlinear parabolic problems in Banach spaces (with E. Cuesta), Numer. Math. 110, (2008), (24) A posteriori estimates for approximations of the time-dependent Stokes equations (with F. Karakatsani) IMA Journal of Numerical Analysis (4): (25) Error control of generalized DG methods for hyperbolic conservation laws (with A. Dedner and M. Ohlberger) SIAM J. Numer. Anal. 45 (2007), (26) Space and Time Reconstructions in A Posteriori Analysis of Evolution Problems, ESAIM: Proceedings, September 2007, vol. 21, G. Galoz and M. Dauge Editors (27) A posteriori error analysis of a class of dissipative methods for nonlinear evolution problems (with R. Nochetto) Numer. Math. 104 (2006), (28) Elliptic reconstruction and a posteriori error analysis for fully discretized parabolic problems (with O. Lakkis) Math. Comp. 75 (2006), (29) A posteriori error estimates for the Crank-Nicolson method for parabolic problems (with G. Akrivis and R. Nochetto) Math. Comp. 75 (2006), (30) Convergence of a continuous Galerkin method with mesh modification for nonlinear wave equations (with O. Karakashian) Math. Comp. 74 (2005), (31) Stability and convergence of relaxation finite element schemes for the incompressible Navier-Stokes equations (with Th. Katsaounis and C. Simeoni) Proceedings of the Conference on Hyperbolic Problems, Yakohama Pupl., 2005, (32) Galerkin time-stepping methods for nonlinear parabolic equations (with G. Akrivis) Math. Model. Anal. Numer. 38 (2004), (33) Stability and convergence of a class of finite element schemes for hyperbolic systems of conservation laws (with Ch. Arvanitis and A. Tzavaras) SIAM J. Numer. Anal. 42 (2004), (34) Relaxation models and finite element schemes for the shallow water equations (with Th. Katsaounis) Hyperbolic problems: theory, numerics, applications (T.Hou and E.Tadmor Eds.), , Springer, Berlin, 2003 (35) Sharp CFL, discrete kinetic formulation and entropic schemes for scalar conservation laws (with B. Perthame) SIAM J. Numer. Anal. 41 (2003), (36) Elliptic reconstruction and a posteriori estimates for parabolic problems (with R. Nochetto) SIAM J. Numer. Anal. 41 (2003), (37) A posteriori error estimates of a finite volume method for the Stokes equation. (with P. Chatzipandelidis and M. Plexousakis) Appl. Numer. Math. 46 (2003), (38) Optimal rate of convergence for anisotropic vanishing viscosity limit of a scalar balance law (with B. Perthame) SIAM J. Math. Anal. 34 (2003), (39) Finite volume relaxation schemes for multidimensional conservation laws (with Th. Katsaounis) Math. Comp. 70 (2001),

8 8 Ch. Makridakis CV (40) Adaptive finite element relaxation schemes for hyperbolic systems of conservation laws (with Ch. Arvanitis and Th. Katsaounis) Math. Model. Anal. Numer. 35 (2001), (41) Two a posteriori error estimates for one dimensional scalar conservation laws(with L. Gosse) SIAM J. Numer. Anal. 38 (2000) (42) Convergence and error estimates for relaxation schemes for multidimensional conservation laws (with M. Katsoulakis and G. Kossioris) Comm. Part. Dif. Equations 24 (1999), (43) Implicit-explicit multistep methods for quasilinear parabolic equations (with G. Akrivis and M. Crouzeix) Numer. Math. 82 (1999), (44) A space time finite element method for the nonlinear Schrödinger equation. II: the continuous Galerkin method (with O. Karakashian) SIAM J. Numer. Anal. 36 (1999), (45) Finite volume schemes for Hamilton Jacobi equations (with G. Kossioris and P. Souganidis) Numer. Math. 83 (1999), (46) A posteriori error estimates for numerical approximations to scalar conservation laws: schemes satisfying strong and weak entropy inequalities (with L. Gosse) IACM-FORTH Technical report 98.4 (1998). (47) Implicit-explicit multistep finite element methods for nonlinear parabolic problems (with G. Akrivis and M. Crouzeix) Math. Comp. 67 (1998), (48) A space time finite element method for the nonlinear Schrödinger equation: the discontinuous Galerkin method (with O. Karakashian) Math. Comp. 67 (1998), no. 222, (49) On the stability of the discontinuous Galerkin method for the heat equation (with I. Babuška) SIAM J. Numer. Anal. 34 (1997) (50) Analysis and finite element methods for a fluid-solid interaction problem in one dimension (with I. Babuška and F. Ihlenburg) Math. Models Meth. Appl. Sc. 6 (1996) (51) Time-discrete finite element schemes for Maxwell s equations (with P. Monk) RAIRO Math. Model. Anal. Numer. 29 (1995) (52) High-order fully discrete methods for the equations of elastic wave propagation with absorbing boundary conditions, IMA J. Numer. Anal. 15 (1995) (53) Error estimates of Galerkin FEM for a coupled set of Helmholtz equations in one dimension (with F. Ihlenburg) In: W. Hackbusch, G. Wittum, eds., Numerical treatment of coupled systems, Vieweg, (54) Finite element approximations of nonlinear elastic waves, Math. Comp. 61 (1993) (55) On mixed finite element methods for linear elastodynamics, Numer. Math. 61 (1992) (56) Cosine methods for a class of semilinear second-order wave equations, Comput. Math. Applic. 19 (1990) PROCEEDINGS EDITED Numerical Methods for Viscosity Solutions and Applications, Edited by M. Falcone and Ch. Makridakis, Series on Advances in Mathematics for Applied Sciences, 59. World Scientific Publishing Co., Inc., River Edge, NJ, 2001, 234 pp