This paper presents an optimal solver for the Morley element problem for the boundaryvalue problem of the biharmonic equation by decomposing it into several subproblems and solving these subproblems optimally. The opt...This paper presents an optimal solver for the Morley element problem for the boundaryvalue problem of the biharmonic equation by decomposing it into several subproblems and solving these subproblems optimally. The optimality of the proposed method is mathematically proved for general shape-regular grids.展开更多
基金Acknowledgments. The authors would like to thank Professor Jinchao Xu for his valuable suggestions and comments. The author C. Feng is partially supported by the NSFC Grants NO. 11571293 and 11201398, the Project of Scientific Research Fund of Hunan Provincial Education Department （14B044）, Specialized research Fund for the Doctoral Program of Higher Education of China Grant 20124301110003 and Hunan Provincial Natural Science Foundation of China （14JJ2063） S. Zhang is partially supported by the NSFC Grants NO. 11101415 and 11471026, and the SRF for ROCS, SEM.
文摘This paper presents an optimal solver for the Morley element problem for the boundaryvalue problem of the biharmonic equation by decomposing it into several subproblems and solving these subproblems optimally. The optimality of the proposed method is mathematically proved for general shape-regular grids.
