The local discontinuous Galerkin finite element method for a class of convection-diffusion equations

DOI10.1016/J.NONRWA.2012.07.030zbMath1259.65153OpenAlexW2066082583MaRDI QIDQ1926469

Demin Liu, Xinlong Feng, Wen-Juan Wu

Publication date: 28 December 2012

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2012.07.030

zbMATH Keywords

stabilityconvergenceconvection-diffusion equationnumerical experimentserror estimatelinear heat equationnumerical fluxHopf-Cole transformationlocal discontinuous Galerkin finite element method

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) 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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