A one-sweep method for linear elliptic equations over irregular domains
β Scribed by N. Distefano; A. Jain
- Publisher
- Springer
- Year
- 1974
- Tongue
- English
- Weight
- 590 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0022-3239
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract This work is a generalization of the immersed interface method for discretization of a nondiagonal anisotropic Laplacian in 2D. This firstβorder discretization scheme enforces weakly diagonal dominance of the numerical scheme whenever possible. A necessary and sufficient condition depen
We present a numerical method for solving Poisson's equation, with variable coefficients and Dirichlet boundary conditions, on two-dimensional regions. The approach uses a finite-volume discretization, which embeds the domain in a regular Cartesian grid. We treat the solution as a cell-centered quan
We present an algorithm for solving the heat equation on irregular time-dependent domains. It is based on the Cartesian grid embedded boundary algorithm of Johansen and Colella (1998, J. Comput. Phys. 147, 60) for discretizing Poisson's equation, combined with a second-order accurate discretization