In this paper we study the homology and cohomology groups of the super Schrodinger algebra S(1/1)in(1+l)-dimensional spacetime.We explicitly compute the homology groups of S(1/1)with coefficients in the trivial module...In this paper we study the homology and cohomology groups of the super Schrodinger algebra S(1/1)in(1+l)-dimensional spacetime.We explicitly compute the homology groups of S(1/1)with coefficients in the trivial module.Then using duality,we finally obtain the dimensions of the cohomology groups of S(1/1)with coefficients in the trivial module.展开更多
We propose a new discontinuous Galerkin method based on the least-squares patch reconstruction for the biharmonic problem. We prove the optimal error estimate of the proposed method. The two-dimensional and three-dime...We propose a new discontinuous Galerkin method based on the least-squares patch reconstruction for the biharmonic problem. We prove the optimal error estimate of the proposed method. The two-dimensional and three-dimensional numerical examples are presented to confirm the accuracy and efficiency of the method with several boundary conditions and several types of polygon meshes and polyhedral meshes.展开更多
文摘In this paper we study the homology and cohomology groups of the super Schrodinger algebra S(1/1)in(1+l)-dimensional spacetime.We explicitly compute the homology groups of S(1/1)with coefficients in the trivial module.Then using duality,we finally obtain the dimensions of the cohomology groups of S(1/1)with coefficients in the trivial module.
基金the National Natural Science Foundation of China for Distinguished Young Scholars 11425106National Natural Science Foundation of China Grants 91630313+1 种基金CAS NCMISthe National Natural Science Foundation of China Grants 91630313 and 11671312.
文摘We propose a new discontinuous Galerkin method based on the least-squares patch reconstruction for the biharmonic problem. We prove the optimal error estimate of the proposed method. The two-dimensional and three-dimensional numerical examples are presented to confirm the accuracy and efficiency of the method with several boundary conditions and several types of polygon meshes and polyhedral meshes.
