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A nonoverlapping domain decomposition method for variational inequalities derived from free boundary problems
Author(s) -
Jiang Bin,
Bruch John C.,
Sloss James M.
Publication year - 2006
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20083
Subject(s) - mathematics , free boundary problem , variational inequality , boundary value problem , domain (mathematical analysis) , partial differential equation , boundary (topology) , domain decomposition methods , mathematical analysis , partial derivative , decomposition method (queueing theory) , finite element method , discrete mathematics , physics , thermodynamics
The article proposes a nonoverlapping domain decomposition method for variational inequalities derived from free boundary problems. The free boundary value problem is broken up into two problems on nonoverlapping regions. In one region the problem is treated as a partial differential equation, while in the second region that contains the free boundary part, a variational inequality is considered. By solving these two related problems successively, we have shown that the successive solutions converge to the solution of the original problem. Application to a free surface seepage problem is given. © 2005 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2006