On the numerical treatment of boundary singularities in elliptic problems
type: Item
instance of: scholarly article
title: On the numerical treatment of boundary singularities in elliptic problems
zbMATH Open document ID: 0618.65089
DOI: 10.1016/0021-9991(86)90044-6
published in: Journal of Computational Physics
publication date: 1986-01-01T00:00:00Z
review text: This paper addresses the numerical treatment of boundary singularities using the finite difference technique. Two different procedures are tested and compared for the title problem: the first consists of a coordinate transformation which produces a mesh refinement in the real problem domain in the vicinity of the singularity and the second involves a transformation of the problem to one which is free from singularities. In both cases the dynamic ADI method is applied to solve the discretized problem.
Mathematics Subject Classification ID: 65N22
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 35J55
Mathematics Subject Classification ID: 78A35
zbMATH DE Number: 4003424
zbMATH Keywords: solid state electronics
zbMATH Keywords: corner singularities
zbMATH Keywords: convergence acceleration
zbMATH Keywords: Newton's method
zbMATH Keywords: boundary singularities
zbMATH Keywords: finite difference
zbMATH Keywords: coordinate transformation
zbMATH Keywords: mesh refinement
zbMATH Keywords: dynamic ADI method
author: T. N. Phillips
reviewed by: J. C. F. Telles
MaRDI profile type: Publication
full work available at URL: 0021-9991(86)90044-6
OpenAlex ID: W2108904936
cites work: Numerical Modelling of PIN Diodes
cites work: Dynamic ADI Methods for Elliptic Equations
cites work: Q3241447
cites work: On the use of nonuniform grids in finite-difference equations
cites work: Numerical solution of a coupled pair of elliptic equations from solid state electronics
cites work: Q5342712
cites work: Q5604166
description: scientific article; zbMATH DE number 4003424