Layers and corner singularities in singularly perturbed elliptic problems

DOI10.1007/s10543-008-0173-0zbMath1148.65089OpenAlexW2077447390MaRDI QIDQ943924

Martin Stynes, R. Bruce Kellogg

Publication date: 12 September 2008

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-008-0173-0

zbMATH Keywords

singular perturbationfinite elementsShishkin meshsurvey papermesh refinement

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (8)

Finite volume approximation of one-dimensional stiff convection-diffusion equations ⋮ Semi‐analytic time differencing methods for singularly perturbed initial value problems ⋮ Finite volume approximation of stiff problems on two-dimensional curvilinear domain ⋮ On the numerical approximations of stiff convection-diffusion equations in a circle ⋮ Semi-analytic shooting methods for Burgers' equation ⋮ Singularly perturbed reaction–diffusion equations in a circle with numerical applications ⋮ Semi-analytical time differencing methods for stiff problems ⋮ New time differencing methods for spectral methods

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• n-Widths and Singularly Perturbed Boundary Value Problems
• Optimal Approximability of Solutions of Singularly Perturbed Two-Point Boundary Value Problems
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