Finite element approximation of convection diffusion problems using graded meshes
نویسندگان
چکیده
We consider the numerical approximation of a model convection–diffusion equation by standard bilinear finite elements. Using appropriately graded meshes we prove optimal order error estimates in the ε-weighted H 1-norm valid uniformly, up to a logarithmic factor, in the singular perturbation parameter. Finally, we present some numerical examples showing the good behavior of our method. © 2006 IMACS. Published by Elsevier B.V. All rights reserved. MSC: 65N30
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تاریخ انتشار 2005