Discontinuous Galerkin finite element method for a forward-backward heat equation

DOI10.1007/S11766-005-0042-4zbMath1079.65100OpenAlexW2042403941MaRDI QIDQ1775283

Hong Li, Xiaoxi Wei

Publication date: 6 May 2005

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-005-0042-4

zbMATH Keywords

linearizationnumerical examplesdiscontinuous Galerkin methoderror estimatespace-time finite element methodnonlinear forward-backward heat equation

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)

Cites Work

• Unnamed Item
• A heat equation in which the diffusion coefficient changes sign
• An abstract treatment of some forward-backward problems of transport and scattering
• Discontinuous Galerkin finite element methods for a forward-backward heat equation
• Adaptive Finite Element Methods for Parabolic Problems I: A Linear Model Problem
• Adaptive Finite Element Methods for Parabolic Problems II: Optimal Error Estimates in $L_\infty L_2 $ and $L_\infty L_\infty $
• Numerical Analysis of an Elliptic-Parabolic Partial Differential Equation

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