Berninger, H. (2009) Nonoverlapping 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. 169176. ISBN 9783642026768

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Official URL: http://dx.doi.org/10.1007/9783642026775_17
Abstract
Simulations of saturatedunsaturated groundwater flow in heterogeneous soil can be carried out by considering nonoverlapping 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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