A New Kind of Discontinuous Galerkin Finite Element Method in the Application of Reaction Diffusion Equations 

Author  CaoJiWei 
Tutor  GeZhiZuo 
School  Henan University 
Course  Computational Mathematics 
Keywords  DG methods Priori error estimation Posteriori error estimation 
CLC  O241.82 
Type  Master's thesis 
Year  2013 
Downloads  12 
Quotes  0 
In this paper, a new stabilized discontinuous Galerkin method within a new functionspace setting is introduced, which involves an extra stabilization term on the normalfuxes across the element interfaces. It is diferent from the general DG methods. Theformulation satisfes a local conservation property and we prove well posedness of the newformulation by InfSup condition. A priori error estimates and a posteriori error estimatesare derived. At last, a2D experiment is given to prove the rationality of the method.