In this paper, a Galerkin/Petrov-least squares mixed finite element method forthe stationary conduction-convection problems is presented and analyzed. Themethod is consistent ahd stable for any combination of discrete...In this paper, a Galerkin/Petrov-least squares mixed finite element method forthe stationary conduction-convection problems is presented and analyzed. Themethod is consistent ahd stable for any combination of discrete velocity and pres-sure spaces without requiring the Babuska-Brezzi stability condition. The exis-tence, uniqueness and convergence (at optimal rate) of the discrete solution isproved in the case of sufficient viscosity (or small data).展开更多
In this paper,we present the least-squares mixed finite element method and investigate superconvergence phenomena for the second order elliptic boundary-value problems over triangulations.On the basis of the L2-projec...In this paper,we present the least-squares mixed finite element method and investigate superconvergence phenomena for the second order elliptic boundary-value problems over triangulations.On the basis of the L2-projection and some mixed finite element projections,we obtain the superconvergence result of least-squares mixed finite element solutions.This error estimate indicates an accuracy of O(h3/2)if the lowest order Raviart-Thomas elements are employed.展开更多
文摘In this paper, a Galerkin/Petrov-least squares mixed finite element method forthe stationary conduction-convection problems is presented and analyzed. Themethod is consistent ahd stable for any combination of discrete velocity and pres-sure spaces without requiring the Babuska-Brezzi stability condition. The exis-tence, uniqueness and convergence (at optimal rate) of the discrete solution isproved in the case of sufficient viscosity (or small data).
基金Supported by National Science Foundation of Chinathe Backbone Teachers Foundation of China+1 种基金the Backbone Teachers Foundation of China State Education Commissionthe Special Funds for Major State Basic Research Project
文摘In this paper,we present the least-squares mixed finite element method and investigate superconvergence phenomena for the second order elliptic boundary-value problems over triangulations.On the basis of the L2-projection and some mixed finite element projections,we obtain the superconvergence result of least-squares mixed finite element solutions.This error estimate indicates an accuracy of O(h3/2)if the lowest order Raviart-Thomas elements are employed.