Pointwise estimates of SDFEM on Shishkin triangular meshes for problems with characteristic layers

DOI10.1007/s11075-017-0384-zzbMath1397.65280OpenAlexW2740484553MaRDI QIDQ1646669

Jin Zhang, Xiao-Wei Liu

Publication date: 25 June 2018

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-017-0384-z

zbMATH Keywords

convection-diffusionShishkin triangular meshSDFEMcharacteristic layerspointwise error

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (3)

Supercloseness of weak Galerkin method on Bakhvalov-type mesh for a singularly perturbed problem in 1D ⋮ Superconvergence analysis of FEM and SDFEM on graded meshes for a problem with characteristic layers ⋮ Uniform stability of the SUPG method for the evolutionary convection-diffusion-reaction equation

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