Variational principles with nonlinear complementarity and finite-dimensional nonlinear complementarity models for three-dimensional frictional contact problems are established.The existence and uniqueness of the solut...Variational principles with nonlinear complementarity and finite-dimensional nonlinear complementarity models for three-dimensional frictional contact problems are established.The existence and uniqueness of the solutions to the finite-dimensional models are proved.A minimum principle is developed and a minimization algorithm is presented.Numerical calculation shows that the algorithm is highly efficient,reliable and promising.展开更多
Domain decomposition method and multigrid method can be unified in the framework of the space decomposition method. This paper has obtained a new result on the convergence rate of the space decomposition method, which...Domain decomposition method and multigrid method can be unified in the framework of the space decomposition method. This paper has obtained a new result on the convergence rate of the space decomposition method, which can be applied to some nonuniformly elliptic problems.展开更多
基金Project supported by the National Natural Science Foundation of China.
文摘Variational principles with nonlinear complementarity and finite-dimensional nonlinear complementarity models for three-dimensional frictional contact problems are established.The existence and uniqueness of the solutions to the finite-dimensional models are proved.A minimum principle is developed and a minimization algorithm is presented.Numerical calculation shows that the algorithm is highly efficient,reliable and promising.
基金the National Natural Science Foundation of China (No.19771034).
文摘Domain decomposition method and multigrid method can be unified in the framework of the space decomposition method. This paper has obtained a new result on the convergence rate of the space decomposition method, which can be applied to some nonuniformly elliptic problems.
