In this paper, a kind of nonoverlapping domain decomposition method, for solving variational inequalities with nonlinear source terms, is proposed. Convergence theorem and convergent rate analysis of the method are gi...In this paper, a kind of nonoverlapping domain decomposition method, for solving variational inequalities with nonlinear source terms, is proposed. Convergence theorem and convergent rate analysis of the method are given.展开更多
This paper mainly deals with the higher-order coupled Kirchhoff-type equations with nonlinear strong damped and source terms in a bounded domain. We obtain some results that are estimation of the upper bounds of Hausd...This paper mainly deals with the higher-order coupled Kirchhoff-type equations with nonlinear strong damped and source terms in a bounded domain. We obtain some results that are estimation of the upper bounds of Hausdorff dimension and Fractal dimension of the global attractor.展开更多
In this paper, a new Schwarz method called restricted additive Schwarz method （RAS） is presented and analyzed for a kind of nonlinear complementarity problem （NCP）. The method is proved to be convergent by using w...In this paper, a new Schwarz method called restricted additive Schwarz method （RAS） is presented and analyzed for a kind of nonlinear complementarity problem （NCP）. The method is proved to be convergent by using weighted maximum norm. Besides, the effect of overlap on RAS is also considered. Some preliminary numerical results are reported to compare the performance of RAS and other known methods for NCP.展开更多
文摘In this paper, a kind of nonoverlapping domain decomposition method, for solving variational inequalities with nonlinear source terms, is proposed. Convergence theorem and convergent rate analysis of the method are given.
文摘This paper mainly deals with the higher-order coupled Kirchhoff-type equations with nonlinear strong damped and source terms in a bounded domain. We obtain some results that are estimation of the upper bounds of Hausdorff dimension and Fractal dimension of the global attractor.
基金The authors would like to thank the anonymous referees for their valuable suggestions and comments, which improved the paper greatly. The work was supported by Natural Science Foundation of Guangdong Province,China （Grant No.S2012040007993） and Educational Commission of Guangdong Province, China （Grant No. 2012LYM_0122）, NNSF of China （Grand No.11126147）, NNSF of China （Grand No.11201197） and NNSF of China （Grand No.11271069）.
文摘In this paper, a new Schwarz method called restricted additive Schwarz method （RAS） is presented and analyzed for a kind of nonlinear complementarity problem （NCP）. The method is proved to be convergent by using weighted maximum norm. Besides, the effect of overlap on RAS is also considered. Some preliminary numerical results are reported to compare the performance of RAS and other known methods for NCP.
