This paper describes an iterative solution technique for partial differential equations involving the grad(div)operator,based on a domain decomposition.Iterations are performed to solve the solution on the interface.W...This paper describes an iterative solution technique for partial differential equations involving the grad(div)operator,based on a domain decomposition.Iterations are performed to solve the solution on the interface.We identify the transmission relationships through the interface.We relate the approach to a Steklov-Poincare operator,and we illustrate the performance of technique through some numerical experiments.展开更多
基金Part of this paper was written during a visit of the second author(MA)as invited pro-fessor at Ecole Polytechnique Federale de Lausanne.
文摘This paper describes an iterative solution technique for partial differential equations involving the grad(div)operator,based on a domain decomposition.Iterations are performed to solve the solution on the interface.We identify the transmission relationships through the interface.We relate the approach to a Steklov-Poincare operator,and we illustrate the performance of technique through some numerical experiments.
