TY - JOUR
T1 - Continuous-discontinuous finite element method for convection-diffusion problems with characteristic layers
AU - Zarin, Helena
PY - 2009/9/15
Y1 - 2009/9/15
N2 - We study convergence properties of a numerical method for convection-diffusion problems with characteristic layers on a layer-adapted mesh. The method couples standard Galerkin with an h-version of the nonsymmetric discontinuous Galerkin finite element method with bilinear elements. In an associated norm, we derive the error estimate as well as the supercloseness result that are uniform in the perturbation parameter. Applying a post-processing operator for the discontinuous Galerkin method, we construct a new numerical solution with enhanced convergence properties.
AB - We study convergence properties of a numerical method for convection-diffusion problems with characteristic layers on a layer-adapted mesh. The method couples standard Galerkin with an h-version of the nonsymmetric discontinuous Galerkin finite element method with bilinear elements. In an associated norm, we derive the error estimate as well as the supercloseness result that are uniform in the perturbation parameter. Applying a post-processing operator for the discontinuous Galerkin method, we construct a new numerical solution with enhanced convergence properties.
KW - Characteristic layers
KW - Discontinuous Galerkin method
KW - Post-processing
KW - Singularly perturbed problem
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U2 - 10.1016/j.cam.2009.04.010
DO - 10.1016/j.cam.2009.04.010
M3 - Article
AN - SCOPUS:68049112620
SN - 0377-0427
VL - 231
SP - 626
EP - 636
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
IS - 2
ER -