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Error Estimates for Linear Finite Elements on Bakhvalov-Type Meshes

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Abstract

For convection-diffusion problems with exponential layers, optimal error estimates for linear finite elements on Shishkin-type meshes are known. We present the first optimal convergence result in an energy norm for a Bakhvalov-type mesh.

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  1. Institute of Numerical Mathematics, Dept. of Mathematics, Technical University of Dresden, Zellerscher Weg 12-14, 01069, Dresden, Germany

    Hans-Gorg Roos

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  1. Hans-Gorg Roos
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Roos, HG. Error Estimates for Linear Finite Elements on Bakhvalov-Type Meshes. Appl Math 51, 63–72 (2006). https://doi.org/10.1007/s10492-006-0005-y

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  • DOI: https://doi.org/10.1007/s10492-006-0005-y

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