SDFEM for an elliptic singularly perturbed problem with two parameters

DOI10.1007/s10092-018-0293-0zbMath1407.65264OpenAlexW2901737385MaRDI QIDQ1713626

Helena Zarin, Sebastian Franz, Mirjana Brdar, Ljiljana Teofanov

Publication date: 25 January 2019

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-018-0293-0

zbMATH Keywords

superconvergencesingularly perturbed problemstabilization parametertwo small parametersstreamline-diffusion method

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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

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Optimal order of uniform convergence for finite element method on Bakhvalov-type meshes, Supercloseness of finite element method on a Bakhvalov-type mesh for a singularly perturbed problem with two parameters, On the local discontinuous Galerkin method for singularly perturbed problem with two parameters, 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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