Numerical Solution For Domain Decomposed, Heterogeneously
Modeled Seepage Problems
Author(s)
B. Jiang, J. C. Bruch Jr. & J. M. Sloss
Abstract
Numerical solution for domain decomposed,
heterogeneously modeled seepage problems
B. ~ i a n ~ ' , J. C. Bruch ~ r . ' ' ~ & J. M. loss'
I Department of Mathematics, University of California,
Santa Barbara, CA 93106, USA
2 Department of Mechanical and Environmental Engineering,
University of California, Santa Barbara, CA 93106, USA
Abstract
A new domain decomposition technique for free boundary problems is
considered. A parallel iterative scheme is used that reduces the original free
boundary problem to a sequence of problems on two subdomains, one of which
includes the free boundary and is described by a variational inequality and the
other includes the remainder of the problem and is described by a second order
partial differential equation. At each step of the iteration, two subproblems are
solved simultaneously either by using a Dirichlet condition on the interface and
alternatively using a Neumann condition on the interface. Since these two
subproblems can be solved simultaneously in thi
Keywords
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