Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10357255 | Journal of Computational Physics | 2005 | 18 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Michael Barad, Phillip Colella,