A dual iterative substructuring method with a penalty term |
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Authors: | Chang-Ock Lee Eun-Hee Park |
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Institution: | (1) Department of Mathematical Sciences, KAIST, Daejeon, 305-701, South Korea |
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Abstract: | An iterative substructuring method with Lagrange multipliers is considered for second order elliptic problems, which is a
variant of the FETI-DP method. The standard FETI-DP formulation is associated with the saddle-point problem which is induced
from the minimization problem with a constraint for imposing the continuity across the interface. Starting from the slightly
changed saddle-point problem by addition of a penalty term with a positive penalization parameter η, we propose a dual substructuring method which is implemented iteratively by the conjugate gradient method. In spite of the
absence of any preconditioners, it is shown that the proposed method is numerically scalable in the sense that for a large
value of η, the condition number of the resultant dual problem is bounded by a constant independent of both the subdomain size H and the mesh size h. Computational issues and numerical results are presented.
This work was partially supported by the SRC/ERC program of MOST/KOSEF(R11-2002-103). |
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Keywords: | Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) 65F10 65N30 65N55 |
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