国家数学与交叉科学中心合肥分中心报告会

报告题目：Weak differentiation and weak Galerkin finite element methods

报 告 人：Shangyou Zhang
         University of Delaware
 
报告时间：2013年5月14日 下午3:00-4:00

报告地点：管理科研楼室1518

Abstract: A weak function is defined by two polynomials locally, one inside a finite element and one on its boundary. A weak derivative of a weak function is the projection of the generalized derivative in a third polynomial space. The weak Galerkin finite method is based on this weak differentiation. The finite element functions are totally discontinuous across element, along with additional finite element functions on inter-element faces. In addition, a third finite element space is needed in defining weak derivatives. In this talk,  a  C0-weak Galerkin method is introduced and analyzed for solving the biharmonic equation in 2D and 3D. Optimal order error estimates are established, based on a mass preserving Scott-Zhang interpolation operator.

主办单位：中国科学技术大学数学科学学院
          国家数学与交叉科学中心合肥分中心

       
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