Arbitrary Dimension Convection-Diffusion Schemes for Space-Time Discretizations

Bank, Randolph E.¹  Vassilevski, Panayot S.²  Zikatanov, Ludmil T.³ 

[1] Univ. of California, San Diego, CA (United States);Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States);Bulgarian Academy of Sciences, Sofia (Bulgaria)

关键词: space-time discretization and solvers;   

DOI  :  10.2172/1237558
RP-ID  :  LLNL-TR--681077
PID  :  OSTI ID: 1237558

学科分类：数学（综合）

美国|英语

来源: SciTech Connect

【 摘 要 】

This note proposes embedding a time dependent PDE into a convection-diffusion type PDE (in one space dimension higher) with singularity, for which two discretization schemes, the classical streamline-diffusion and the EAFE (edge average finite element) one, are investigated in terms of stability and error analysis. The EAFE scheme, in particular, is extended to be arbitrary order which is of interest on its own. Numerical results, in combined space-time domain demonstrate the feasibility of the proposed approach.