Geodesic
Analysis of finite element methods on Bakhvalov-type meshes for linear convection-diffusion problems in 2D
Applications of Mathematics, Tome 57 (2012) no. 2, pp. 97-108.

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So far optimal error estimates on Bakhvalov-type meshes are only known for finite difference and finite element methods solving linear convection-diffusion problems in the one-dimensional case. We prove (almost) optimal error estimates for problems with exponential boundary layers in two dimensions.
DOI : 10.1007/s10492-012-0007-x
Classification : 35B25, 35J25, 65N15, 65N30, 65N50
Keywords: finite element method; singular perturbation; convection-diffusion problem; Bakhvalov-type meshes; layer-adapted meshes; optimal error estimates; exponential boundary layers 
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     title = {Analysis of finite element methods on {Bakhvalov-type} meshes for linear convection-diffusion problems in {2D}},
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Roos, Hans-Görg; Schopf, Martin. Analysis of finite element methods on Bakhvalov-type meshes for linear convection-diffusion problems in 2D. Applications of Mathematics, Tome 57 (2012) no. 2, pp. 97-108. doi : 10.1007/s10492-012-0007-x. http://geodesic.mathdoc.fr/articles/10.1007/s10492-012-0007-x/

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