Enhanced Efficient 3D Poisson Solver Supporting Dirichlet, Neumann, and Periodic Boundary Conditions

Enhanced Efficient 3D Poisson Solver Supporting Dirichlet, Neumann, and Periodic Boundary Conditions

This paper generalizes the efficient matrix decomposition method for solving the finite-difference (FD) discretized three-dimensional (3D) Poisson’s equation using symmetric 27-point, 4th-order accurate stencils to adapt more boundary conditions (BCs), i.e., Dirichlet, Neumann, and Periodic BCs. It...

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Bibliographic Details
Main Author: Chieh-Hsun Wu
Format: Article
Language:English
Published: MDPI AG 2025-04-01
Series:Computation
Subjects:
three-dimension
Poisson’s equation
finite difference
matrix decomposition
boundary conditions
Fourier analysis
Online Access:https://www.mdpi.com/2079-3197/13/4/99
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