Alternating iteration and elliptic variational inequalities |
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Authors: | John C Bruch Jr James M Sloss |
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Institution: | (1) Department of Mechanical and Environmental Engineering, University of California, 93106 Santa Barbara, CA, USA;(2) Department of Mathematics, University of California, 93106 Santa Barbara, CA, USA |
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Abstract: | Summary Free boundary value problems, too complicated for formulation as a variational inequality, are broken up into two problems on overlapping regions. On one region the problem is treated as an ordinary boundary value problem; on the second region, the free boundary part of the problem is reduced to a variational inequality. By solving the two problems successively it is shown that under certain conditions the successive solutions converge to a single function that gives a solution of the original problem. Application to a filtration problem is given. |
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Keywords: | MR 35A40 MR 39-04 MR 65N05 MR 65N20 MR 36S05 CR: G1 8 |
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