In this paper we are concerned with a kind of nonlinear transmission problem with Signorini contact conditions.This problem can be described by a coupled FEM-BEM variational inequality.We first develop a preconditioni...In this paper we are concerned with a kind of nonlinear transmission problem with Signorini contact conditions.This problem can be described by a coupled FEM-BEM variational inequality.We first develop a preconditioning gradient projection method for solving the variational inequality.Then we construct an effective domain decomposition preconditioner for the discrete system.The preconditioner makes the coupled inequality problem be decomposed into an equation problem and a"small"inequality problem,which can be solved in parallel.We give a complete analysis to the convergence speed of this iterative method.展开更多
基金supported by National Natural Science Foundation of China(GrantNo.10771178)The Key Project of National Natural Science Foundation of China(Grant No.10531080)+2 种基金National Basic Research Program of China(Grant No.2005CB321702)supported by The Key Project of National Natural Science Foundation of China(Grant No.10531080)National Basic Research Program of China(Grant No.2005CB321701)
文摘In this paper we are concerned with a kind of nonlinear transmission problem with Signorini contact conditions.This problem can be described by a coupled FEM-BEM variational inequality.We first develop a preconditioning gradient projection method for solving the variational inequality.Then we construct an effective domain decomposition preconditioner for the discrete system.The preconditioner makes the coupled inequality problem be decomposed into an equation problem and a"small"inequality problem,which can be solved in parallel.We give a complete analysis to the convergence speed of this iterative method.
