In this paper, based on the mixed variational formulation in [9], a dual mixedvariational formulation for contact problem in elasticity is presented. The existence and uniqueness of the solution of the dual variationa...In this paper, based on the mixed variational formulation in [9], a dual mixedvariational formulation for contact problem in elasticity is presented. The existence and uniqueness of the solution of the dual variational problem are discussed,and the error bound O(he3/4) is obtained for Raviart-Thomas (k = 1) elementapproximation.展开更多
The aim of this paper is to provide a local superconvergence analysis for ined finite element methods of Poission equation. We shall prove that if p is smmoth enough in a local regionΩ0Ω1Ω and rectangular mesh is ...The aim of this paper is to provide a local superconvergence analysis for ined finite element methods of Poission equation. We shall prove that if p is smmoth enough in a local regionΩ0Ω1Ω and rectangular mesh is imposed onΩ1, then local superconvergence for are expected. Thus, by post-processing operators P and we have obtained the follwing local superconvergence error estimate:展开更多
This paper deals with Raviart-Thomas element (Q(2,1) x Q(1,2) - Q(1) element). Apart from its global superconvergence property of fourth order, we prove that a postprocessed extrapolation can globally increased the ac...This paper deals with Raviart-Thomas element (Q(2,1) x Q(1,2) - Q(1) element). Apart from its global superconvergence property of fourth order, we prove that a postprocessed extrapolation can globally increased the accuracy by fifth order.展开更多
文摘In this paper, based on the mixed variational formulation in [9], a dual mixedvariational formulation for contact problem in elasticity is presented. The existence and uniqueness of the solution of the dual variational problem are discussed,and the error bound O(he3/4) is obtained for Raviart-Thomas (k = 1) elementapproximation.
文摘The aim of this paper is to provide a local superconvergence analysis for ined finite element methods of Poission equation. We shall prove that if p is smmoth enough in a local regionΩ0Ω1Ω and rectangular mesh is imposed onΩ1, then local superconvergence for are expected. Thus, by post-processing operators P and we have obtained the follwing local superconvergence error estimate:
文摘This paper deals with Raviart-Thomas element (Q(2,1) x Q(1,2) - Q(1) element). Apart from its global superconvergence property of fourth order, we prove that a postprocessed extrapolation can globally increased the accuracy by fifth order.
