A parallel partition of unity method for the time-dependent convection-diffusion equations
A parallel partition of unity method for the time-dependent convection-diffusion equations
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DOI：
10.1108/hff-09-2014-0277
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发表时间：
2015-11
影响因子：
4.2
通讯作者：
Guangzhi Du;Yanren Hou
中科院分区：
文献类型：
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作者：
Guangzhi Du;Yanren Hou
目的-本文的目的是提出一种求解含时对流扩散方程的并行单位分解方法。设计/方法/方式-本文选择了时间依赖性对流扩散方程的有限元方法和单位分割法。结果-本文提供了一种高效的并行算法，达到相同的精度作为标准的Galerkin方法（SGM），但节省了大量的计算时间。独创性/价值-在本文中，提出了一个平行的单位分割方法的时间依赖的对流扩散方程。在每个时间步，作者只需要解决一系列独立的局部子问题并行，而不是一个整体问题。
Purpose – The purpose of this paper is to propose a parallel partition of unity method to solve the time-dependent convection-diffusion equations. Design/methodology/approach – This paper opted for the time-dependent convection-diffusion equations using the finite element method and the partition of unity method. Findings – This paper provides one efficient parallel algorithm which reaches the same accuracy as the standard Galerkin method (SGM) but saves a lot of computational time. Originality/value – In this paper, a parallel partition of unity method is proposed for the time-dependent convection-diffusion equations. At each time step, the authors only need to solve a series of independent local sub-problems in parallel instead of one global problem.