Repository: Freie Universit├Ąt Berlin, Math Department

On adaptive grid refinement in the presence of internal or boundary layers

Kornhuber, R. and Roitzsch, R. (1990) On adaptive grid refinement in the presence of internal or boundary layers. IMPACT of Computing in Science and Engineering, 2 (1). pp. 40-72. ISSN 0899-8248

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Official URL: http://dx.doi.org/10.1016/0899-8248(90)90003-S

Abstract

We propose an anisotropic refinement strategy which is specially designed for the efficient numerical resulution of internal and boundary layers. This strategy is based on the directed refinement of single triangles together with adaptive multilevel grid orientation. Compared to usual methods, the new anisotropic refinement ends up in more stable and more accurate solutions at much less computational cost. This is demonstrated by several numerical examples.

Item Type:Article
Uncontrolled Keywords:Adaptive finite elements, directed refinecment, adaptive grid orientation, convection diffusion equation, internal and boundary layers
Subjects:Mathematical and Computer Sciences > Mathematics > Numerical Analysis
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics
ID Code:1924
Deposited By: Ekaterina Engel
Deposited On:24 Jun 2016 19:25
Last Modified:03 Mar 2017 14:42

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