Adaptive Finite Element Relaxation Schemes for Hyperbolic Conservation Laws

DOI10.1051/m2an:2001105zbMath0980.65104OpenAlexW2005402375MaRDI QIDQ2709435

Christos Arvanitis, Theodoros Katsaounis, Charalambos G. Makridakis

Publication date: 25 February 2002

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=M2AN_2001__35_1_17_0

zbMATH Keywords

shockfinite elementsconsistencyconservation lawsBurgers equationadaptive methodssemidiscretizationRunge-Kutta methodsnonlinear elastodynamicsadaptive refinementmesh coarsening

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Nonlinear elasticity (74B20) Finite element methods applied to problems in solid mechanics (74S05) Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

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Uses Software

• AMRCLAW

Cites Work

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