recent preprints
a review article for reconstruction methods
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Papers by class of problems
Conservation Laws >
finite element relaxation schemes
finite difference and kinetic schemes
finite volumes
a posteriori estimates
geometrical driven adaptivity
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
Geometrical driven adaptivity <
Entropy conservative schemes and adaptive mesh selection for hyperbolic conservation laws
(with
Ch. Arvanitis and N. Sfakianakis) Preprint
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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
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Relaxation models and finite element schemes for the shallow water equations
(with Th. Katsaounis) Hyperbolic problems: theory, numerics, applications, 621-631, Springer, Berlin, 2003
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An extended version (report ENS)
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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.
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other papers by Ch. Arvanitis
Christos Arvanitis: "Mesh Redistribution Strategies and Finite Element Schemes for Hyperbolic Conservation Laws"
J. Sci. Comput. 34 (2008) 1–25 .
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Ch. Arvanitis and A. Delis: "Behavior of Finite Difference Schemes of Hyperbolic Conservation Laws on Adaptive Redistributed Spatial Grids"
SIAM J. Sc. Comp. 28 (2006), No. 5, pp. 1927–1956.
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