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Stabilizing Discontinuous Galerkin Method for Solving Parabolic Equations
Author: ZhaoJuan
Tutor: GeZhiZuo
School: Henan University
Course: Computational Mathematics
Keywords: Discontinuous Galerkin method Semidiscrete formulation Backward Euler discretization Forward Euler discretization CrankNicolson discretization apriori error analysis
CLC: O241.82
Type: Master's thesis
Year: 2013
Downloads: 13
Quote: 0
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Abstract
The thesis proposes a stabilizact Discontinuous Galerkin method with penalty termsin Broken Sobolev space. The method content the numerical stability and also the localconservativeness.It adopts a Discontinuous Galerkin method with penalty terms to this thesis fromthe perspective of space. A priori error analysis is also given and the optimal degreeof convergence is also obtained. The thesis will discrete the above formulation by usingForward Euler method, Backward Euler method, and CrankNicolson method from theperspective of time. A priori error analysis is also given and the optimal degree of convergence is also obtained.It gives a specifc numerical example at the end of the thesis.Then an expected result is obtained by using Freefem++.

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