Since Poisson equation is based on the finite difference method (FDM), discretization is required for implementation. In 1D example, the discretization with grid size can be written as,(ϵn+1−ϵnΔ)(ϕn+1−ϕnΔ)+ϵnϕn+1−2ϕn+ϕn−1Δ2=−q(p−n+ND−NA...
在前面的基础上: 迦非喵:2d+Poisson Equation+multigrid+V-Cycle Scheme (level 2)简单测试这里继续重构: 参考: Textbook: A Multigrid Tutorial, Second Edition , by Briggs, Henson & McCormick及 CFD …
在2d possion equation中,给出了某个问题的初始条件和边界条件: p=0ateverywherep=0atx=0,2andy=0,1 源项为: bi,j=−100ati=nx∗3/4,j=3/4nybi,j=0everywhereelse 不用太在意这个例子有没有时间的物理意义,我们只需要在意一个possion方程,在四个边界上有边界条件,还附带了一个空间分布的源项,然后...
Fast direct solver for Poisson equation in a 2D elliptical domain. Numer. Methods Partial Differential Equations, 20(1):72-81, 2004. MR2020251 (2004j:65175)Ming-Chih Lai. Fast direct solver for Poisson equation in a 2D elliptical domain. Numer. Methods Partial Differential Equations, 20(1)...
利用finite difference求解2D Poisson's equation, 实现如下, View Code 结果展示:注意, 图中等高线代表等势线, 流线代表电场走向. 使用建议: ①. 利用边界填充技术处理非矩形边界; ②. 利用含时演化技术求解椭圆型方程; ③. 使用Euler向前差分替代Runge-Kutta方法获取含时演化抛物型方程的稳态解. 参考文档:吴一东...
Solved Jump to solution Hi All, I've recently got the MKL 2D Poisson Solver up and running and I believe it's working properly for my simulations. What I would like to know, is there a way of setting fixed values for internal nodes in the domain? I am using the...
Multigrid method for solving 2D-Poisson equation with sixth order finite difference method We develop a sixth order finite difference discretization strategy to solve the two dimensional Poisson equation. We use multigrid V-cycle procedure to built multiscale multigrid method which is similar to the fu...
Solve the Laplace equation: solver=Poisson2DRectangle( ((-2*np.pi,-2*np.pi), (2*np.pi,2*np.pi)),interior,boundary,100,100)solution=solver.solve()poissonpy.plot_3d(solver.x_grid,solver.y_grid,solution,"solution")poissonpy.plot_2d(solution,"solution") ...
Thank you for this very active community of users and the mailing list. I am looking for a PETSc example which solves the Poisson equation on a 2D domain using FEM (or HO-FEM if possible). I would like the following: 1. The example should be formulated fully on PETSc, and to be ...
First, this equation arises in many areas of mathematical and engineering sciences and secondly, its solution can requ... PN Swarztrauber 被引量: 101发表: 1984年 Efficient parallel solvers for the biharmonic equation Other solution strategies were also developed such as fast Poisson solvers [20,...