SDFEM for singularly perturbed boundary-value problems with two parameters

DOI10.1007/s12190-020-01370-3zbMath1475.65060OpenAlexW3029796487MaRDI QIDQ2053105

Yanyan Li

Publication date: 29 November 2021

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-020-01370-3

zbMATH Keywords

uniform convergenceboundary layersstreamline-diffusion finite element methodShishkin meshgraded meshsingularly perturbed two-parameter BVPs

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Parameter dependent boundary value problems for ordinary differential equations (34B08) Singular perturbations for ordinary differential equations (34E15) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

Related Items (6)

Convergence analysis of a fully-discrete FEM for singularly perturbed two-parameter parabolic PDE ⋮ A uniformly convergent scheme for two-parameter problems having layer behaviour ⋮ Parameter uniform optimal order numerical approximations for time-delayed parabolic convection diffusion problems involving two small parameters ⋮ Alternating direction implicit method for singularly perturbed 2D parabolic convection–diffusion–reaction problem with two small parameters ⋮ SDFEM for singularly perturbed parabolic initial-boundary-value problems on equidistributed grids ⋮ Asymptotic streamline diffusion finite element method for singularly perturbed convection–diffusion differential difference equations

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