Abstract
In this paper we present our practical experience with solving the Poisson equation on arbitrary 3-dimensional domains using finite difference approximation and Neumann boundary conditions. The equation is presented and arguments for the choice of numerical methods are given. Discretization is described and the resulting system of linear equations is analysed. Our practical implementation of the multigrid method for the presented problem on general domains is described. Results of convergence tests are given and analysed for multigrid and other, simpler methods.
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CITATION STYLE
Šterk, M., & Trobec, R. (2004). A multigrid poisson solver on general 3-dimensional domains. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 3019, pp. 1052–1058). Springer Verlag. https://doi.org/10.1007/978-3-540-24669-5_136
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