Equidistributed error mesh for problems with exponential boundary layers

DOI10.1016/J.CAM.2007.04.048zbMath1143.65067OpenAlexW2071311095MaRDI QIDQ930716

José Ávila, Pavel Šolín

Publication date: 1 July 2008

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

Full work available at URL: https://doi.org/10.1016/j.cam.2007.04.048

zbMATH Keywords

comparison of methodsfinite element methodconvection-diffusion equationnumerical examplesBakhvalov meshShishkin meshexponential boundary layeroptimal mesh

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Cites Work

• Unnamed Item
• Superconvergence analysis of the SDFEM for elliptic problems with characteristic layers
• Error estimates for linear finite elements on Bakhvalov-type meshes.
• The $p$ and $hp$ versions of the finite element method for problems with boundary layers
• Superconvergence analysis of the Galerkin FEM for a singularly perturbed convection–diffusion problem with characteristic layers

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