A modified Bakhvalov mesh

DOI10.1016/j.aml.2014.01.001zbMath1312.65122OpenAlexW1973473500MaRDI QIDQ2345345

Zorica Uzelac, Ljiljana Teofanov, Hans-Goerg Roos

Publication date: 19 May 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2014.01.001

zbMATH Keywords

singular perturbationfinite element methodfinite difference methodboundary value problemlayer-adapted meshes

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Finite difference and finite volume methods for ordinary differential equations (65L12) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)

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A higher order accurate numerical method for singularly perturbed two point boundary value problems ⋮ A modified graded mesh and higher order finite element method for singularly perturbed reaction-diffusion problems ⋮ A modified graded mesh and higher order finite element approximation for singular perturbation problems ⋮ Numerical Solution with Special Layer Adapted Meshes for Singularly Perturbed Boundary Value Problems

Cites Work

• The impact of smooth \(W\)-grids in the numerical solution of singular perturbation two-point boundary value problems
• Layer-adapted meshes for reaction-convection-diffusion problems
• A uniformly convergent Galerkin method on a Shishkin mesh for a convection-diffusion problem
• On the Lambert \(w\) function
• Stability and accuracy of adapted finite element methods for singularly perturbed problems
• The optimization of methods of solving boundary value problems with a boundary layer

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