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Solution of elliptic partial differential equations by fast Poisson solvers using a local relaxation factor. 1: One-step method

机译：用局部弛豫因子的快速泊松求解器求解椭圆偏微分方程1：一步法

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An algorithm for solving a large class of two- and three-dimensional nonseparable elliptic partial differential equations (PDE's) is developed and tested. It uses a modified D'Yakanov-Gunn iterative procedure in which the relaxation factor is grid-point dependent. It is easy to implement and applicable to a variety of boundary conditions. It is also computationally efficient, as indicated by the results of numerical comparisons with other established methods. Furthermore, the current algorithm has the advantage of possessing two important properties which the traditional iterative methods lack; that is: (1) the convergence rate is relatively insensitive to grid-cell size and aspect ratio, and (2) the convergence rate can be easily estimated by using the coefficient of the PDE being solved.

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作者
Chang, S. C.;
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年度 1986
页码 1-22
总页数 22
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
ALGORITHMS; ELLIPTIC DIFFERENTIAL EQUATIONS; ELLIPTIC FUNCTIONS; ITERATIVE SOLUTION; PARTIAL DIFFERENTIAL EQUATIONS; ANALYSIS (MATHEMATICS); CONVERGENCE; RELAXATION METHOD (MATHEMATICS);

机译：算法;椭圆微分方程;椭圆函数;迭代解决方案;部分微分方程;分析（数学）;收敛;松弛法（数学）;

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8. Solution of Elliptic Partial Differential Equations by Fast Poisson Solvers Using a Local Relaxation Factor. 1:One-Step Method. [R] . chang, s. c. 1986

机译：用局部弛豫因子的快速泊松求解器求解椭圆偏微分方程。 1：一步法。

Solution of elliptic partial differential equations by fast Poisson solvers using a local relaxation factor. 1: One-step method

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