Schwarz algorithm for the solution of variational inequalities with nonlinear source terms

摘要

Numerical solution of variational inequalities of obstacle type associated with some free boundary problems with nonlinear source terms is considered. Iterative methods based on the combination of the domain decomposition technique and the Newton-like approach are proposed for solving discrete obstacle problems arising from the continuous, piecewise linear finite element approximation of the problems. The calculation processes are easily to be parallelized. The convergence and specially the convergent rate of the algorithms are obtained.