Analysis of finite element methods on Bakhvalov-type meshes for linear convection-diffusion problems in 2D
Hans-Görg Roos, Martin Schopf (2012)
Applications of Mathematics
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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.