Adaptive Crank-Nicolson methods with dynamic finite-element spaces for parabolic problems

DOI10.3934/DCDSB.2008.10.873zbMath1156.65077OpenAlexW2317669626MaRDI QIDQ950572

Dongho Kim, Eun-Jae Park

Publication date: 30 October 2008

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2008.10.873

zbMATH Keywords

finite elementsevolution equationdiscontinuous Galerkin methodadaptive algorithma posteriori error estimatorsadaptive meshCrank-Nicolson reconstructionCrank-Nicolson schemeslinear parabolic problems

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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)

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