Convergence Analysis of a Multiscale Finite Element Method for Singularly Perturbed Problems

DOI10.1137/040608490zbMath1091.65108OpenAlexW1977399978MaRDI QIDQ5695952

Alexandre L. Madureira, Tobiska, Lutz, Frédéric Valentin, Leopoldo P. Franca

Publication date: 6 October 2005

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/040608490

zbMATH Keywords

convergence numerical results singular perturbation finite element method error analysis multiscale method Petrov-Galerkin method reaction-diffusion problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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)

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