An adapted Petrov–Galerkin multi-scale finite element method for singularly perturbed reaction–diffusion problems

DOI10.1080/00207160.2015.1041935zbMath1344.65112OpenAlexW2284883848MaRDI QIDQ5739607

Yunqing Huang, Michael Presho, Shan Jiang

Publication date: 19 July 2016

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2015.1041935

zbMATH Keywords

stabilityconvergencesingular perturbationerror boundsreaction-diffusionnumerical experimentgraded meshelimination of resonance effectPetrov-Galerkin multi-scale finite element

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 (3)

REDUCED MULTISCALE COMPUTATION ON ADAPTED GRID FOR THE CONVECTION-DIFFUSION ROBIN PROBLEM ⋮ Balanced Truncation Based on Generalized Multiscale Finite Element Method for the Parameter-Dependent Elliptic Problem ⋮ Uniform high-order convergence of multiscale finite element computation on a graded recursion for singular perturbation

Cites Work

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