APPLICATIONS OF MATHEMATICS, Vol. 51, No. 1, pp. 63-72, 2006

Error estimates for linear finite elements
on Bakhvalov-type meshes

Hans-Gorg Roos

H. G. Roos, Institute of Numerical Mathematics, Dept. of Mathematics, Technical University of Dresden, Zellerscher Weg 12-14, 01069 Dresden, Germany, e-mail: roos@math.tu-dresden.de

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.

Keywords: numerical analysis, convection-diffusion problem, boundary layer, uniform convergence

Classification (MSC 2000): 65N30


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