Time Discretization of Parabolic Problems by the HP-Version of the Discontinuous Galerkin Finite Element Method
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Publication:4509711
DOI10.1137/S0036142999352394zbMath0978.65091OpenAlexW2063164826MaRDI QIDQ4509711
Christoph Schwab, Dominik Schötzau
Publication date: 19 October 2000
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s0036142999352394
convergenceheat equationsingularitiesnumerical exampleserror boundsgraded meshdiscontinuous Galerkin finite element method\(hp\)-versionabstract parabolic problems
Abstract parabolic equations (35K90) Heat equation (35K05) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) 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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