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The Weak Galerkin Methods and Applications

Author:叶秀    Publicsh date:2017-06-20    Clicks:
报告人：叶秀（University of Arkansas at Little Rock）报告题目：The Weak Galerkin Methods and Applications报告时间：2017年6月21日下午3:00-4:00报告地点：华中科技大学恩明楼813室Abstract: A new weak Galerkin (WG) method is introducedand analyzed for the second order elliptic equation formulated as a system oftwo first order linear equations. This method, called WG-MFEM, is designed byusing disconti...

报告人：叶秀（University of Arkansas at Little Rock）

报告题目：The Weak Galerkin Methods and Applications

报告时间：2017年6月21日下午3:00-4:00

报告地点：华中科技大学恩明楼813室

Abstract: A new weak Galerkin (WG) method is introducedand analyzed for the second order elliptic equation formulated as a system oftwo first order linear equations. This method, called WG-MFEM, is designed byusing discontinuous piecewise polynomials on finite element partitions witharbitrary shape of polygons/polyhedra. The WG-MFEM is capable of providing veryaccurate numerical approximations for both the primary and flux variables.Allowing the use of discontinuous approximating functions on arbitrary shape ofpolygons/polyhedra makes the method highly flexible in practical computation.Optimal order error estimates in both discreteandnorms areestablished for the corresponding weak Galerkin mixed finite element solutions.