Article
MSC:
35B25,
35J25,
65N15,
65N30,
65N50 | MR 2899726 | Zbl 1249.65248 | DOI: 10.1007/s10492-012-0007-x
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Keywords:
finite element method; singular perturbation; convection-diffusion problem; Bakhvalov-type meshes; layer-adapted meshes; optimal error estimates; exponential boundary layers
finite element method; singular perturbation; convection-diffusion problem; Bakhvalov-type meshes; layer-adapted meshes; optimal error estimates; exponential boundary layers
Summary:
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.
References:
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