This article presents several numerical techniques for solving Laplace equation. A numerical FORTRAN solver is developed to solve the 2D laplace equation. The numerical approaches implemented in the solver include Jacobi, Gauss-Siedel, Successive Over Relaxation, Alternating Direct Implicit and Multigrid methods. Detailed comparison between different numerical methods is presented and discussed
翻译:本文介绍了解决 Laplace 方程式的若干数字技术。 开发了一个数字的 FORTRAN 求解器, 以解决 2D 方程式。 求解器中采用的数字方法包括 Jacobi、 Gauss- Siedel、 连续放松、 互换直接隐含和多格方法。 不同数字方法的详细比较被介绍和讨论。