We call such a PDE Poisson Image (PI) equation. Further, we define the function \\(\\phi ={u+\\left\\| abla uight\\| }^2\\) , where u is the PI's solution. Then, we generate the Poisson gradient vector fields (PGVFs) \\(abla u\\) and \\(abla \\phi \\) and ...
Chapter 2·Section 2: Laplace equation and Poisson equation Gentry Huang 咸鱼。3 人赞同了该文章 目录 收起 1.推导与简介 2. Laplace方程的fundamental solution 3. 全空间Poisson方程的解 4. smooth boundary open region上Poisson方程的解 Laplace equation Δu=0,Poisson equation −Δu=finU.( U...
Hosseinzadeh, Solution of Poisson's equation by analytical boundary element integration, Appl. Math. Comput. 217 (2010) 152-163.P. Ghadimi, A. Dashtimanesh, and H. Hosseinzadeh, "Solution of Poisson's equation by analytical boundary element integra- tion," Applied Mathematics and Computation,...
An innovative, extremely fast and accurate method is presented for Neumann-Dirichlet and Dirichlet-Neumann boundary problems for the Poisson equation, and the diffusion and wave equation in quasi-stationary regime; using the finite difference method, in one dimensional case. Two novels matrices are de...
Direct solutions for Poisson's equation in three dimensions. J Comput Phys 1977;25:319-31.Wilhelmson, R. and Ericksen, J. , “ Direct solution for the Poisson′s equation in three dimensions ”, Journal of Computational Physics , Vol. 25, 1977 , pp. 319 ‐ 31 . [] , []...
little work has been done for solving Poisson's equation by using the Helmholtz decomposition scheme. To bridge this issue, we propose a novel efficient algorithm to solve Poisson's equation in irregular two dimensional domains for electrostatics through a quasi-Helmholtz decomposition techniqueu2014the...
boundary solution of poisson´s equation using radial basis function collocated on gaussian quadrature nodes 热度: On strong solutions of Poisson´s equation in Beppo Levi spaces 热度: Linear System Theory And Design Chen Solution 热度:
Haidvogel, D.B., Zang, T.: The accurate solution of Poisson's equation by expansion in Chebyshev polynomials. J. Comput. Phys. 30 , 167–180 (1979) MATH MathSciNetHaidvogel, D.B., Zang, T.: The accurate solution of Poisson’s equation by expansion in Chebyshev polynomials. J. ...
Zang, The accurate solution of Poisson's equation by expansion in Chebyshev polynomials, J. Comput. Phys. 30 (1979) 167鈥 180... K Julien,M Watson - 《Journal of Computational Physics》 被引量: 80发表: 2009年 An accurate solution of the Poisson equation by the Chebyshev-Tau method A ...
Dirichlet problem for Poisson’s equation on the unit square. We prove existence and uniqueness of a solution of the scheme and show how the solution can be computed on an (N + 1) × (N + 1) uniform partition of the square with cost O(N 2 logN) using a direct fast Fourier transfor...