Kornhuber, R. and Yserentant, H. (1994) Multilevel methods for elliptic problems on domains not resolved by the coarse grid. In: Domain Decomposition Methods in Scientific and Engineering Computing. Contemporary Mathematics, 180 . American Mathematical Society, Providence, Rhode Island, pp. 4960. ISBN 0821851713

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Abstract
Elliptic boundary value problems are frequently posed on complicated domains, which cannot be covered by a simple coarse initial grid as is needed for multigridlike iterative methods. In the present article, this problem is resolved for selfadjoint second order problems and Dirichlet boundary conditions. The idea is to construct appropriate subspace decompositions of the corresponding finite element spaces by way of an embedding of the domain under consideration into a simpler domain like a square or a cube. Then the general theory of subspace correction methods can be applied.
Item Type:  Book Section 

Subjects:  Mathematical and Computer Sciences > Mathematics > Numerical Analysis 
Divisions:  Department of Mathematics and Computer Science > Institute of Mathematics 
ID Code:  1915 
Deposited By:  Ekaterina Engel 
Deposited On:  21 Jun 2016 20:50 
Last Modified:  03 Mar 2017 14:42 
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