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Monotone additive Schwarz algorithms for solving two-side obstacle problems

โœ Scribed by Jinping Zeng


Publisher
Wuhan University
Year
1996
Tongue
English
Weight
181 KB
Volume
1
Category
Article
ISSN
1007-1202

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This paper proves the convergence of some generalized Schwarz algorithms for solving the obstacle problems with a T-monotone operator. Numerical results show that the generalized Sehwarz algorithms converge faster than the classical Schwarz algorithms.

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find u e B(u) + [a, b] such that (A(u), v -u) >\_ (f, v -u), V v โ€ข B(u) + In, b]. (1.1) If a = (0,..., 0) T, b = (+c~,..., +c~) T, (1.1) reduces into quasi-complementarity problems. If a, b are finite vectors, B(x) = O, Vx โ€ข R n, (1.1) turns into usual two-sided obstacle problem. Quasi-variational