On the robust exponential convergence of hp finite element methods for problems with boundary layers

DOI10.1093/imanum/17.4.577zbMath0887.65106OpenAlexW2063039544MaRDI QIDQ4365411

Jens Markus Melenk

Publication date: 27 April 1998

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/17.4.577

zbMATH Keywords

singular perturbationnumerical examplesgrid generationboundary layersexponential convergenceelliptic Dirichlet problem\(hp\) finite element methods

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

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