A fourth-order accurate local refinement method for Poisson's equation

被引：44

作者：

Barad, M

Colella, P

机构：

[1] Univ Calif Davis, Lawrence Berkeley Natl Lab, Dept Civil & Environm Engn, Davis, CA 95616 USA

[2] Lawrence Berkeley Natl Lab, Appl Numer Algorithms Grp, Berkeley, CA 94720 USA

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2005年 / 209卷 / 01期

关键词：

Poisson equation; mesh refinement; multigrid methods;

D O I：

10.1016/j.jcp.2005.02.027

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We present a block-structured local refinement method for computing solutions to Poisson's equation in two and three dimensions. It is based on a conservative, finite-volume formulation of the classical Mehrstellen methods. This is combined with finite volume local refinement discretizations to obtain a method that is fourth-order accurate in solution error, and with easily verifiable solvability conditions for Neumann and periodic boundary conditions. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：1 / 18

页数：18

共 14 条

[1] A FAST ADAPTIVE VORTEX METHOD IN 3 DIMENSIONS [J].