A singularly perturbed problem with two parameters in two dimensions on graded meshes

DOI10.1016/j.camwa.2016.09.021zbMath1367.65179OpenAlexW2529342590MaRDI QIDQ2012729

Mirjana Brdar, Helena Zarin, Ljiljana Teofanov

Publication date: 3 August 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2016.09.021

zbMATH Keywords

Galerkin finite element methodsingularly perturbed problemgraded meshestwo small parameters

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items

Parameter uniform optimal order numerical approximations for time-delayed parabolic convection diffusion problems involving two small parameters, SDFEM for an elliptic singularly perturbed problem with two parameters, A modified graded mesh and higher order finite element approximation for singular perturbation problems, On the local discontinuous Galerkin method for singularly perturbed problem with two parameters, Optimal order uniform convergence in energy and balanced norms of weak Galerkin finite element method on Bakhvalov-type meshes for nonlinear singularly perturbed problems, Error analysis of a weak Galerkin finite element method for two-parameter singularly perturbed differential equations in the energy and balanced norms, Numerical study of two-parameter singularly perturbed problem in two dimensions on an exponentially graded mesh

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