Superconvergence of triangular quadratic finite element with interpolated coefficients for semilinear parabolic equation

DOI10.1016/j.amc.2006.05.192zbMath1121.65097OpenAlexW2051329212MaRDI QIDQ879569

Zhiguang Xiong, Chuan-miao Chen

Publication date: 14 May 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.05.192

zbMATH Keywords

finite element methodsuperconvergencesemilinear parabolic equationsemidiscretizationtriangular quadratic finite element

Mathematics Subject Classification ID

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) Initial value problems for second-order parabolic equations (35K15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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Cites Work

• Search extension method for multiple solutions of a nonlinear problem
• Superconvergence for triangular finite elements
• Structure of multiple solutions for nonlinear differential equations
• Interpolation of coefficients and transformation of the dependent variable in finite element methods for the non-linear heat equation
• Error Estimates of Optimal Order for Finite Element Methods with Interpolated Coefficients for the Nonlinear Heat Equation
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