In this paper, unconventional quasi-conforming finite element approximation for a fourth order variational inequality with displacement obstacle is considered, the optimal order of error estimate O(h) is obtained whic...In this paper, unconventional quasi-conforming finite element approximation for a fourth order variational inequality with displacement obstacle is considered, the optimal order of error estimate O(h) is obtained which is as same as that of the conventional finite elements.展开更多
The purpose of this paper is to obtain the optimal error estimates of O(h) for the highly nonconforming elements to a fourth order variational inequality with curvature obstacle in a convex domain with simply supporte...The purpose of this paper is to obtain the optimal error estimates of O(h) for the highly nonconforming elements to a fourth order variational inequality with curvature obstacle in a convex domain with simply supported boundary by using the novel function splitting method and the orthogonal properties of the nonconforming finite element spaces.Morley's element approximation is our special case.展开更多
基金This research is supported by National Natural Science Foundation of China (10171092), Foundation of Oversea Scholar of China, Project of Creative Engineering of Henan Province and Natural Science Foundation of Henan Province of China.
文摘In this paper, unconventional quasi-conforming finite element approximation for a fourth order variational inequality with displacement obstacle is considered, the optimal order of error estimate O(h) is obtained which is as same as that of the conventional finite elements.
文摘The purpose of this paper is to obtain the optimal error estimates of O(h) for the highly nonconforming elements to a fourth order variational inequality with curvature obstacle in a convex domain with simply supported boundary by using the novel function splitting method and the orthogonal properties of the nonconforming finite element spaces.Morley's element approximation is our special case.
基金supported in part by the Special Funds for Major State Basic Research Project (2007CB814906)the National Natural Science Foundation of China (10471019,10471103, and10771158)+2 种基金Social Science Foundation of the Ministry of Education of China (numerical methods for convertiblebonds,06JA630047)Tianjin Natural Science Foundation (07JCYBJC14300)the State Key Laboratory ofScientific and Engineering Computing,and Tianjin University of Finance and Economics
