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A New Discontinuous Galerkin Method for Parabolic Equations with Discontinuous Coefficient

  • Rongpei Zhang (a1), Xijun Yu (a2), Xia Cui (a2), Xiaohan Long (a3) and Tao Feng (a2)...

Abstract

In this paper, a new discontinuous Galerkin method is developed for the parabolic equation with jump coefficients satisfying the continuous flow condition. Theoretical analysis shows that this method is L2 stable. When the finite element space consists of interpolative polynomials of degrees k, the convergent rate of the semi-discrete discontinuous Galerkin scheme has an order of . Numerical examples for both 1-dimensional and 2-dimensional problems demonstrate the validity of the new method.

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Corresponding author

Corresponding author.Email address:rongpeizhang@163.com
Corresponding author.Email address:yuxj@iapcm.ac.en
Corresponding author.Email address:cui_xia@iapcm.ac.cn
Corresponding author.Email address:long669@163.com
Corresponding author.Email address:fengtao2@mail.ustc.edu.cn

References

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