Preprint No.
A-04-06
Susanne Gebauer, Ralf Kornhuber, Harry Yserentant
Hierarchical decomposition of domains with fractures
Abstract:
We consider the efficient and robust numerical solution of
elliptic problems with jumping coefficients
occurring on a network of thin fractures.
We present an iterative solution concept based on a
hierarchical separation of the fractures and the surrounding rock matrix.
Upper estimates for the convergence rates are independent
of the width of the fractures and of the
jumps of the coefficients. Inexact solution of the local subproblems
is also considered.
The theoretical results are illustrated by numerical experiments.
Keywords: domain decomposition, subspace correction, anisotropic finite
elements
Mathematics Subject Classification (MSC00): 65M15, 65M55, 65M60
Language: ENG
Available: Pr-A-04-06.ps,
Pr-A-04-06.ps.gz
Contact: Ralf Kornhuber, Freie Universität Berlin, Fachbereich Mathematik und Informatik, Arnimallee 2-6, D-14195 Berlin, Germany (kornhube@math.fu-berlin.de)
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