Dissertation > Mathematical sciences and chemical > Mathematics > Computational Mathematics > Numerical Analysis > The numerical solution of differential equations, integral equations > Numerical Solution of Partial Differential Equations

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
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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 Inf-Sup condition. A priori error estimates and a posteriori error estimatesare derived. At last, a2D experiment is given to prove the rationality of the method.

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