Ch. Makridakis / Papers
Cosine methods for a class of semilinear second-order wave equations, Comput. Math. Applic. 19 (1990) 19-34
On mixed finite element methods for linear elastodynamics, Numer. Math. 61 (1992) 235-260
Finite element approximations of nonlinear elastic waves, Mathematics of Computation 61 (1993) 569-594
Time-discrete finite element schemes for Maxwell's equations (with P. Monk) RAIRO Math. Model. Anal. Numer. 29 (1995) 171-197
High-order fully discrete methods for the equations of elastic wave propagation with absorbing boundary conditions, IMA J. Numer. Anal. 15 (1995) 377-404
Error estimates of Galerkin FEM for a coupled set of Helmholtz equations in one dimension
(with F. Ihlenburg) (Proceedings of 11 th GAMM), Kiel (1995)
Analysis and finite element methods for a fluid-solid interaction problem in one dimension
(with I. Babuska and F. Ihlenburg)
Math. Models Meth. Appl. Sc. 6 (1996) 1119-1141
On the stability of the discontinuous Galerkin method for the heat equation
(with I. Babuska) SIAM J. Numer. Anal. 34 (1997) 389-401 ps file
Implicit-explicit multistep finite element methods for nonlinear parabolic problems
(with G. Akrivis and M. Crouzeix)
Mathematics of Computation, 67 (1998), 457-477 pdf file
A space time finite element method for the nonlinear Schroedinger equation: the discontinuous Galerkin method
(with O. Karakashian) Mathematics of Computation 67 (1998), 479-499 ps file
Convergence and error estimates for relaxation schemes for multidimensional conservation laws
(with M. Katsoulakis and G. Kossioris) Comm. Part. Dif. Equations 24 (1999) 395 - 424 ps-file
Implicit-explicit multistep methods for quasilinear parabolic equations
(with G. Akrivis and M. Crouzeix) Numer. Math. 82 (1999) 521 - 541. pdf-file
A space time finite element method for the nonlinear Schroedinger equation. II: the continuous Galerkin method
(with O. Karakashian) SIAM J. Numer. Anal. 36 (1999) 1779 -1807 ps-file
Finite volume schemes for Hamilton Jacobi equations
(with G. Kossioris and P. Souganidis) Numer. Math. 83 (1999), 427 - 442 pdf-file
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). ps-file
Two a posteriori error estimates for one dimensional scalar conservation laws
(with L. Gosse) SIAM J. Numer. Anal. 38 (2000) 964-988. paper - ps-file
Finite volume relaxation schemes for multidimensional conservation laws
(with Th. Katsaounis) Mathematics of Computation 70 (2001), 533-553.
paper -
ps-file -
Technical Report including Fully Discrete Schemes
Adaptive finite element relaxation schemes for hyperbolic systems of conservation laws
(with Ch. Arvanitis and Th. Katsaounis) Math. Model. Anal. Numer. 35 (2001), no. 1, 17-33.
pdf-file
Convergence of the discontinuous Galerkin method for nonlinear parabolic problems
(with G. Akrivis) preprint
Relaxation models and finite element schemes for the shallow water equations
(with Th. Katsaounis) Hyperbolic problems: theory, numerics, applications, 621-631, Springer, Berlin, 2003
pdf-file
Sharp CFL, discrete kinetic formulation and entropic schemes for scalar conservation laws
(with B. Perthame) SIAM J. Numer. Anal. 41 (2003), no. 3, 1032-1051
paper -
pdf-file
Elliptic reconstruction and a posteriori error estimates for parabolic problems
(with R. Nochetto) SIAM J. Numer. Anal. 41 (2003), no. 4, 1585-1594
paper -
pdf-file
A posteriori error estimates for a finite volume method for Stokes equations
(with P. Chatzipandelidis and M. Plexousakis) Appl. Numer. Math. 46 (2003), no. 1, 45-58.
pdf-file
Optimal rate of convergence for anisotropic vanishing viscosity limit of a scalar balance law
(with B. Perthame) SIAM J. Math. Anal. 34 (2003), no. 6, 1300-1307
paper -
pdf-file
Galerkin time stepping schemes for nonlinear parabolic Problems
(with G. Akrivis) Math. Model. Numer. Anal. 38 (2004) 261-289
pdf-file
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), 1357-1393
pdf-file
Convergence of a continuous Galerkin method with mesh modification for nonlinear wave equations
(with O. Karakashian) Math.Comp. 74 (2005), 85-102 pdf-file
Elliptic reconstruction and a posteriori error analysis for fully discrete linear parabolic problems
(with O. Lakkis)
pdf-file, To appear in Math. Comp.
A posteriori error analysis for higher order dissipative methods for evolution
problems
(with R. Nochetto)
Revised version
A posteriori error estimates for the Crank-Nicolson method for parabolic equations
(with G. Akrivis and R. Nochetto)
Math. Comp. 75 (2006), 511-531.
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, pdf-file
A posteriori estimates for approximations of time dependent Stokes equations
(with F. Karakatsani)
preprint
Error control of generalized DG methods for hyperbolic conservation laws (with A. Dedner and M. Ohlberger) preprint
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