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- Title
Parallel solution of variational inequality problems with nonlinear source terms.
- Authors
HOFFMANN, K.-H.; ZOU, JUN
- Abstract
Using the finite-element method to discretize the variational inequality problems related to some free boundary problems with nonlinear source terms, we then solve the resulting algebraic systems by the combination of the quasi-Newton method and the domain decomposition techniques. The numerical solution processes are completely parallelizable. Both the convergence of the finite-element approximation and of the parallel iterative processes are proved.
- Subjects
VARIATIONAL inequalities (Mathematics); PROBLEM solving; NONLINEAR assignment problems; NEWTON-Raphson method; MATHEMATICAL decomposition; FINITE element method
- Publication
IMA Journal of Numerical Analysis, 1996, Vol 16, Issue 1, p31
- ISSN
0272-4979
- Publication type
Article
- DOI
10.1093/imanum/16.1.31