A discontinuous Galerkin method for parabolic problems with modified \(hp\)-finite element approximation technique

DOI10.1016/j.amc.2006.05.028zbMath1110.65094OpenAlexW2031463642MaRDI QIDQ858808

Kim S. Bey, Hideaki Kaneko, Gene J.-W. Hou

Publication date: 11 January 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.05.028

zbMATH Keywords

optimal a priori error estimate

Mathematics Subject Classification ID

Heat equation (35K05) 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)

Related Items (1)

Numerical experiments using hierarchical finite element method for nonlinear heat conduction in plates

Cites Work

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• Time Discretization of Parabolic Problems by the HP-Version of the Discontinuous Galerkin Finite Element Method
• Error Estimates and Automatic Time Step Control for Nonlinear Parabolic Problems, I
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• Adaptive Finite Element Methods for Parabolic Problems IV: Nonlinear Problems
• Adaptive Finite Element Methods for Parabolic Problems V: Long-Time Integration
• Superconvergence of the Iterated Galerkin Methods for Hammerstein Equations
• The h‐p version of the finite element method for parabolic equations. II. The h‐p version in time

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