Searching for authors named "Charalambos Makridakis" – sorted by Relevance.
5 documents found, showing 1 through 5.
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Finite volume relaxation schemes for multidimensional conservation laws
- …�������� � We consider semidiscrete and fully discrete finite volume relaxation schemes for multidimensional scalar conservation laws. These schemes are constructed by appropriate discretization of a relaxation system and it is shown to converge to the entropy solution of the conservation law with a…
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Two a Posteriori Error Estimates for One-Dimensional Scalar Conservation Laws
- …In this paper, we propose a-posteriori local error estimates for numerical schemes in the context of one dimensional scalar conservation laws. The main tool to derive them is a synthetic version of Kruzkov's estimates recently introduced by Bouchut and Perthame, further developed by Katsoulakis, Kos…
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Implicit-Explicit Multistep Finite Element Methods for Nonlinear Parabolic Problems
- …Abstract. We approximate the solution of initial boundary value problems for nonlinear parabolic equations. In space we discretize by finite element methods. The discretization in time is based on linear multistep schemes. One part of the equation is discretized implicitly and the other explicitly. …
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Stability And Convergence Of A Class Of Finite Element Schemes For Hyperbolic Systems Of Conservation Laws
- …We propose a class of finite element schemes for systems of hyperbolic conservation laws, that are based on finite element discretizations of appropriate relaxation models. We consider both semidiscrete and fully-discrete finite element schemes, and show that the schemes are stable and, when the com…
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HYKE" Hyperbolic and Kinetic Equations: Analysis, Numerics and Applications
- …We derive a posteriori error estimates for fully discrete approximations to solutions of linear parabolic equations. The space discretization uses nite element spaces, that are allowed to change in time. Our main tool is an appropriate adaptation of the elliptic reconstruction technique, introduc…
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