Error estimates for discontinuous Galerkin method for nonlinear parabolic equations

DOI10.1016/j.jmaa.2005.07.027zbMath1094.65091OpenAlexW1971658591MaRDI QIDQ819034

H. Y. Lee, Jun Yong Shin, Mi-Ray Ohm

Publication date: 22 March 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.07.027

zbMATH Keywords

nonlinear parabolic equationdiscontinuous Galerkin methoderror estimate

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) 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)

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Cites Work

• A discontinuous \(hp\) finite element method for diffusion problems
• Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I
• Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
• An Interior Penalty Finite Element Method with Discontinuous Elements
• An Elliptic Collocation-Finite Element Method with Interior Penalties
• Unnamed Item

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