A Parallel Second Order Cartesian Method for Elliptic Interface Problems  

作　　者：Marco Cisternino Lisl Weynans 

机构地区：[1]Dipartimento di Ingegneria Aeronautica e Spaziale,Politecnico di Torino C.so Duca degli Abruzzi 24,10129 Torino,Italy [2]Univ.Bordeaux,IMB,UMR 5251,F-33400 Talence,France.CNRS,IMB,UMR 5251,F-33400 Talence,France.INRIA,F-33400 Talence,France

出　　处：《Communications in Computational Physics》2012年第10期1562-1587,共26页计算物理通讯（英文）

摘　　要：We present a parallel Cartesianmethod to solve elliptic problems with complex immersed interfaces.This method is based on a finite-difference scheme and is second-order accurate in the whole domain.The originality of the method lies in the use of additional unknowns located on the interface,allowing to express straightforwardly the interface transmission conditions.We describe the method and the details of its parallelization performed with the PETSc library.Then we present numerical validations in two dimensions,assorted with comparisons to other related methods,and a numerical study of the parallelized method.

关 键 词：Elliptic interface problem Cartesian method second-order scheme interface unknowns 

分 类 号：O17[理学—数学]