Weighted Nitsche Discontinuous Galerkin Finite Element Method of Elasticity Problems
Journal Title: 河南科技大学学报（自然科学版） - Year 2018, Vol 39, Issue 3
Abstract
By combining the traditional discontinuous Galerkin finite element method with the weighted Nistche method, a weighted Nistche discontinuous Galerkin finite element method was developed for elasticity problems. In this method, the traditional arithmetic flux average on interface was replaced by the weighted average, and the formula to compute the interface stability parameter was given. The numerical tests show that the solution of weighted Nistche discontinuous Galerkin finite element method converges to exact solution with the refinement of element size for both homogeneous and heterogeneous material problems. Especially for the heterogeneous material problem, the stability parameter is more reasonable and stable than traditional method, which can avoid the unstable numerical problem resulting from the excessively large stability parameter.
Authors and Affiliations
Mingwei WANG, Jianfei ZHANG, Xiaowei DENG
Keywords
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