A Matlab-based finite-difference solver for the Poisson problem with mixed Dirichlet-Neumann boundary conditions. A Matlab-based finite-difference numerical solver for the Poisson equation for a rectangle and a disk in two dimensions, and a spherical domain in three dimensions, is presented. The solver is optimized for handling an arbitrary combination of Dirichlet and Neumann boundary conditions, and allows for full user control of mesh refinement. The solver routines utilize effective and parallelized sparse vector and matrix operations. Computations exhibit high speeds, numerical stability with respect to mesh size and mesh refinement, and acceptable error values even on desktop computers.
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References in zbMATH (referenced in 3 articles )
Showing results 1 to 3 of 3.
- Brillard, Alain; Brilhac, J.-F.; Gilot, P.: A second-order finite difference method for the resolution of a boundary value problem associated to a modified Poisson equation in spherical coordinates (2017)
- Vuorinen, V.; Keskinen, K.: DNSLab: a gateway to turbulent flow simulation in Matlab (2016)
- Reimer, Ashton S.; Cheviakov, Alexei F.: A Matlab-based finite-difference solver for the Poisson problem with mixed Dirichlet-Neumann boundary conditions (2013)