A New Discontinuous Galerkin Method for Parabolic Equations with Discontinuous Coefficient

DOI10.4208/nmtma.2013.y11038zbMath1289.65236OpenAlexW4253047906MaRDI QIDQ5398815

Xia Cui, Xiaohan Long, Rongpei Zhang, Tao Feng, Xi-Jun Yu

Publication date: 28 February 2014

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/nmtma.2013.y11038

zbMATH Keywords

stabilityconvergencenumerical examplesparabolic equationdiscontinuous Galerkin methoderror estimatesemidiscretizationjump coefficients

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) PDEs with low regular coefficients and/or low regular data (35R05) 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) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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