Imposing Essential Boundary Conditions in Isogeometric Analysis with Nitsches Method

摘要：

　　Isogeometric Analysis combines the NURBS technology and finite element approaches into a unified framework.Regrettably,the NURBS basis functions dont interpolate at the control points,which lead to the difficulty for imposing the essential boundary conditions.A new approach inspired by Nitsches notion was proposed in order to remedy this issue.The essential boundary constraints are enforced by the consistent penalty terms.It has some notable advantages than the other methods,such as (i) the symmetric and positive definite bilinear formulation when the stiffness matrix is symmetric and the stabilization parameter is large enough; (ii) the well-conditioning coefficient matrix of the linear system.Finally,the numerical experiment was performed to verify the optimal rate of convergence of the present method.

关键词： isogeometric analysis essential boundary condition NURBS Nitsches method stabilization parameter

作者: Tao Chen Rong Mo Zhongwei Gong

作者单位: The key laboratory of Contemporary Design and integrated Manufacturing Technology,Northwestern Polytechnical University, Xian, 710072, China

会议类型: 国际会议

会议名称: the Second International Conference on Frontiers of Manufacturing and Design Science(第二届制造与设计科学国际会议(ICFMD 2011))

会议地点: 台湾

会议语种:英文

页码: 2779-2783

在线出版日期: 2011-12-11（万方平台首次上网日期，不代表论文的发表时间）