Local Fourier Analysis for Edge-Based Discretizations on Triangular Grids  

作　　者：Carmen Rodrigo Francisco Sanz Francisco J.Gaspar Francisco J.Lisbona 

机构地区：[1]Department of Applied Mathematics,University of Zaragoza,C/Maria de Luna 3,50018,Zaragoza,Spain [2]BIFI University of Zaragoza,C/Pedro Cerbuna 12,50009,Zaragoza,Spain [3]Department of Applied Mathematics,University of Zaragoza,C/Pedro Cerbuna 12,50009,Zaragoza,Spain

出　　处：《Numerical Mathematics(Theory,Methods and Applications)》2015年第1期78-96,共19页高等学校计算数学学报（英文版）

基　　金：supported by the Spanish project FEDER/MCYT MTM2010-16917 and the DGA(Grupo consolidado PDIE).

摘　　要：In this paper,we present a local Fourier analysis framework for analyzing the different components within multigrid solvers for edge-based discretizations on triangular grids.The different stencils associated with edges of different orientation in a triangular mesh make this analysis special.The resulting tool is demonstrated for the vector Laplace problem discretized by mimetic finite difference schemes.Results from the local Fourier analysis,as well as experimentally obtained results,are presented to validate the proposed analysis.

关 键 词：Multigrid local Fourier analysis edge-based discretizations mimetic finite differences 

分 类 号：O17[理学—数学]