Article ID Journal Published Year Pages File Type
4958689 Computers & Mathematics with Applications 2016 22 Pages PDF
Abstract
A numerical approximation of a convection-reaction-diffusion problem by standard bilinear finite elements is considered. Using Duran-Lombardi and Duran-Shishkin type meshes we prove first order error estimates in an energy norm. Numerical examples confirm our theoretical results and show smaller errors compared to the well-known Shishkin mesh.
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Physical Sciences and Engineering Computer Science Computer Science (General)
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A singularly perturbed problem with two parameters in two dimensions on graded meshes
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