A New Discontinuous Galerkin Method for Parabolic Equations with Discontinuous Coefficient  

作　　者：Rongpei Zhang Xijun Yu Xia Cui Xiaohan Long Tao Feng 

机构地区：[1]School of Sciences,Liaoning Shihua University,Fushun 113001,Liaoning,China [2]National Key Laboratory of Science and Technology on Computational Physics,Institute of Applied Physics and Computational Mathematics,Beijing 100088,China [3]School of Mathematics and Information,Ludong University,Yantai 264025,Shandong,China

出　　处：《Numerical Mathematics(Theory,Methods and Applications)》2013年第2期325-342,共18页高等学校计算数学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant No:10771019,11171038);supported by the Young Talent Attraction program of Brazilian National Council for Scientific and Technological Development(CNPq).

摘　　要：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 L^(2) 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 δ(h^(k)).Numerical examples for both 1-dimensional and 2-dimensional problems demonstrate the validity of the new method.

关 键 词：Parabolic equation discontinuous coefficient discontinuous Galerkin method error estimate stability analysis 

分 类 号：O17[理学—数学]