Weak Galerkin finite element methods for partial differential equations
主 题: Weak Galerkin finite element methods for partial differential equations
报告人: Professor Xiu Ye (Department of Mathematics and Statistics University of Arkansas at Little Rock)
时 间: 2012-06-04 16:00-17:00
地 点: 理科一号楼 1418
Newly developed weak Galerkin finite element methods will be introduced for solving partial differential equations. Finite element methods can be classified as two big groups: conforming and nonconforming methods, (or roughly speaking: continuous and discontinuous methods). Constructions of conforming elements are not trivial in many situations. An alternative approach is to use discontinuous functions to approximate the true solutions. However, for discontinuous functions, the strong derivatives are not well defined. The concept of weak Galerkin methods is to introduce well defined weak derivatives for discontinuous functions. As the results, the weak Galerkin finite element methods are simple, flexible and parameter independent. Allowing the use of discontinuous approximating functions on arbitrary shape of polyhedra makes the methods highly flexible in practical computation.