Title
Schwarz algorithm for the solution of variational inequalities with nonlinear source terms
Abstract
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.
Year
DOI
Venue
1998
10.1016/S0096-3003(97)10129-1
Applied Mathematics and Computation
Keywords
Field
DocType
domain decomposition,nonlinear source term,variational inequality,convergence,convergent rate
Mathematical optimization,Nonlinear system,Iterative method,Mathematical analysis,Algorithm,Finite element method,Free boundary problem,Obstacle problem,Piecewise linear function,Mathematics,Domain decomposition methods,Variational inequality
Journal
Volume
Issue
ISSN
97
1
Applied Mathematics and Computation
Citations 
PageRank 
References 
5
0.62
1
Authors
2
Name
Order
Citations
PageRank
Jinping Zeng1339.01
Shuzi Zhou2537.19