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Local Discontinuous Galerkin Method for Parabolic Interface Problems

Local Discontinuous Galerkin Method for Parabolic Interface Problems
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摘要 In this paper, the minimal dissipation local discontinuous Galerkin method is studied to solve the parabolic interface problems in two-dimensional convex polygonal domains. The interface may be arbitrary smooth curves. The proposed method is proved to be L2 stable and the order of error estimates in the given norm is O（h｜logh｜^1/2）. Numerical experiments show the efficiency and accuracy of the method. In this paper, the minimal dissipation local discontinuous Galerkin method is studied to solve the parabolic interface problems in two-dimensional convex polygonal domains. The interface may be arbitrary smooth curves. The proposed method is proved to be L2 stable and the order of error estimates in the given norm is O（h｜logh｜^1/2）. Numerical experiments show the efficiency and accuracy of the method.
作者 Zhi-juan ZHANG Xi-jun YU
机构地区 Department of Mathematics Laboratory of Computational Physics
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2015年第2期453-466,共14页 应用数学学报（英文版）
基金 Supported by the National Natural Science Foundation of China(Grant No.11171038) Youth Foundation of Tianyuan Mathematics(Grant No.11126279) The Science Foundation of China Academy of Engineering Physics(Grant No.2013A0202011) Defense Industrial Technology Development Program(Grant No.B1520133015)
关键词 parabolic interface problem minimal dissipation local discontinuous Galerkin method error estimates parabolic interface problem minimal dissipation local discontinuous Galerkin method error estimates
分类号 O241.82 [理学—计算数学]
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Acta Mathematicae Applicatae Sinica
2015年 第2期

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