Repository: Freie Universit├Ąt Berlin, Math Department

Non-overlapping domain decomposition for the Richards equation via superposition operators

Berninger, H. (2009) Non-overlapping domain decomposition for the Richards equation via superposition operators. In: Domain Decomposition Methods in Science and Engineering XVIII. Lecture Notes in Computational Science and Engineering, 70 . Springer Berlin Heidelberg, pp. 169-176. ISBN 978-3-642-02676-8

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Official URL: http://dx.doi.org/10.1007/978-3-642-02677-5_17

Abstract

Simulations of saturated-unsaturated groundwater flow in heterogeneous soil can be carried out by considering non-overlapping domain decomposition problems for the Richards equation in subdomains with homogeneous soil. By the application of different Kirchhoff transformations in the different subdomains local convex minimization problems can be obtained which are coupled via superposition operators on the interface between the subdomains. The purpose of this article is to provide a rigorous mathematical foundation for this reformulation in a weak sense. In particular, this involves an analysis of the Kirchhoff transformation as a superposition operator on Sobolev and trace spaces.

Item Type:Book Section
Subjects:Mathematical and Computer Sciences > Mathematics > Numerical Analysis
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics
ID Code:1804
Deposited By: Ekaterina Engel
Deposited On:19 Feb 2016 08:34
Last Modified:03 Mar 2017 14:41

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