recent preprints
a review article for reconstruction methods
.
Papers by class of problems
Conservation Laws <
Entropy conservative schemes and adaptive mesh selection for hyperbolic conservation laws
(with
Ch. Arvanitis and N. Sfakianakis) Preprint
pdf
A new discontinuous Galerkin scheme for the numerical solution of flow problems with discon-
tinuities
(with I. Toulopoulos) Preprint
pdf
Error control of generalized DG methods for
hyperbolic conservation laws
(with A. Dedner and M. Ohlberger) SIAM J. Numer. Anal. 45 (2007), 514–538
pdf
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
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
An extended version (report ENS)
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
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
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
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
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
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
Wave Equations >
finite elements for linear elastodynamics
nonlinear wave equations
Parabolic Problems >
analysis of the time dg-method
implicit-explicit schemes for nonlinear problems
a posteriori estimates for linear problems
conditional error control for nonlinear problems
Other Problems >
standard schemes for the Helmholtz equation
Schroedinger equations
finite volumes for Hamilton-Jacobi
Stokes and Navier-Stokes
.
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Papers by computational methods (and methodologies)
Time and space-time finite elements >
a priori analysis of the time dg-method
a posteriori estimates
A posteriori error control / reconstruction methods >
time discrete schemes
space and fully discrete schemes
nonlinear problems