Repository: Freie Universität Berlin, Math Department

Infrastructure for the Coupling of Dune Grids

Bastian, P. and Buse, G. and Sander, O. (2010) Infrastructure for the Coupling of Dune Grids. In: Numerical Mathematics and Advanced Applications 2009: Proceedings of ENUMATH 2009. Springer Berlin Heidelberg, pp. 107-114. ISBN 978-3-642-11794-7


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We describe an abstract interface for the geometric coupling of finite element grids. The scope of the interface encompasses a wide range of domain decomposition techniques in use today, including nonconforming grids and grids of different dimensions. The couplings are described as sets of remote intersections, which encapsulate the relationships between pairs of elements on the coupling interface. The abstract interface is realized in a module dune-grid-glue for the software framework dune. Several implementations of this interface exist, including one for general nonconforming couplings and a special efficient implementation for conforming interfaces. We present two numerical examples to show the flexibility of the approach.

Item Type:Book Section
Subjects:Mathematical and Computer Sciences > Mathematics > Numerical Analysis
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics
ID Code:1883
Deposited By: Ekaterina Engel
Deposited On:13 Apr 2016 10:36
Last Modified:03 Mar 2017 14:42

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