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 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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}},
     journal = {Applications of Mathematics},
     pages = {97--108},
     year = {2012},
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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

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