An upwind finite element method for singularly perturbed elliptic problems and local estimates in the $L^\infty $-norm

DOI10.1051/m2an/1990240202351zbMath0711.65092OpenAlexW2584818020MaRDI QIDQ3495590

Uwe Risch

Publication date: 1990

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193596

zbMATH Keywords

finite difference methodsboundary layersorder of convergencelocal estimateshybrid upwind finite element methodcut-off-function-techniquesingular perturbed 2-D elliptic problemsthree- direction grid

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Error bounds for boundary value problems involving PDEs (65N15) 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)

Related Items

Convergence analysis for the full-upwind finite volume solution of a convection-diffusion problem, A streamline-diffusion method for nonconforming finite element approximations applied to convection-diffusion problems, The finite volume method and application in combinations

Cites Work

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• Diskretisierungsverfahren zur Lösung singulär gestörter Randwertprobleme