In this paper,we consider a kind of coupled nonlinear problem with Signorini contact conditions.To solve this problem,we discuss a new coupling of finite element and boundary element by adding an auxiliary circle.We f...In this paper,we consider a kind of coupled nonlinear problem with Signorini contact conditions.To solve this problem,we discuss a new coupling of finite element and boundary element by adding an auxiliary circle.We first derive an asymptotic error estimate of the approximation to the coupled FEM-BEM variational inequality.Then we design an iterative method for solving the coupled system,in which only three standard subproblems without involving any boundary integral equation are solved.It will be shown that the convergence speed of this iteration method is independent of the mesh size.展开更多
基金This work was supported by the National Natural Science Foundation of China, the National PostdoctorFoundation of China, the CAS K. C. Wong Post-doctoral Research Award Fund, the Special Funds for State Major Basic Research (No. 19331023) the State M
文摘In this paper,we consider a kind of coupled nonlinear problem with Signorini contact conditions.To solve this problem,we discuss a new coupling of finite element and boundary element by adding an auxiliary circle.We first derive an asymptotic error estimate of the approximation to the coupled FEM-BEM variational inequality.Then we design an iterative method for solving the coupled system,in which only three standard subproblems without involving any boundary integral equation are solved.It will be shown that the convergence speed of this iteration method is independent of the mesh size.
