Capacitance matrix method using strips with alternating Neumann and Dirichlet boundary conditions
type: Item
instance of: scholarly article
title: Capacitance matrix method using strips with alternating Neumann and Dirichlet boundary conditions
zbMATH Open document ID: 0619.65094
DOI: 10.1016/0168-9274(85)90008-X
published in: Applied Numerical Mathematics
publication date: 1985-01-01T00:00:00Z
review text: A method for solving numerically second-order elliptic equations in rectangular regions is discussed. The rectangle is divided into strips. The original problem is replaced by subproblems with alternating Neumann and Dirichlet boundary conditions, and an auxiliary problem. The latter, called the capacitance matrix system, is solved by an efficient numerical procedure using the conjugate gradient method.
Mathematics Subject Classification ID: 65N22
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 4005517
zbMATH Keywords: domain decomposition
zbMATH Keywords: fast elliptic solvers
zbMATH Keywords: interface problem
zbMATH Keywords: alternating Neumann and Dirichlet boundary conditions
zbMATH Keywords: capacitance matrix system
zbMATH Keywords: conjugate gradient method
author: Maksymilian Dryja
author: Wlodek Proskurowski
describes a project that uses: FISHPAK
MaRDI profile type: Publication
cites work: Q5658454
cites work: Q5186679
cites work: Q3890207
cites work: Numerical solution of nonlinear elliptic partial differential equations by a generalized conjugate gradient method
cites work: A capacitance matrix method for Dirichlet problem on polygon region
cites work: Q3219055
cites work: A Finite Element-Capacitance Matrix Method for the Neumann Problem for Laplace’s Equation
cites work: Algorithm 541: Efficient Fortran Subprograms for the Solution of Separable Elliptic Partial Differential Equations [D3]
full work available at URL: 0168-9274(85)90008-x
OpenAlex ID: W1993293038
description: scientific article; zbMATH DE number 4005517