A combined scheme of finite elements and finite differences
type: Item
instance of: scholarly article
title: A combined scheme of finite elements and finite differences
zbMATH Open document ID: 0676.65108
DOI: 10.1016/0016-0032(89)90065-3
author: H. Yano
author: A. Kieda
author: K. Nishioka
published in: Journal of the Franklin Institute
publication date: 1989-01-01T00:00:00Z
review text: Two-dimensional boundary value problems for the Laplace equation in a ring-like region are considered. The differential equation is written first in polar coordinates and then reformulated in terms of a dimensionless radial variable. An approximate solution is assumed as the sum of products of functions of the radial and the angular variables, for which a partial Galerkin technique with respect to the radial direction is applied, whereas a difference approximation is used in the angular direction. The simple method has some disadvantages that are mentioned.
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 4108097
zbMATH Keywords: Galerkin method
zbMATH Keywords: finite differences
zbMATH Keywords: finite elements
zbMATH Keywords: Laplace equation
zbMATH Keywords: ring-like region
MaRDI profile type: Publication
full work available at URL: 0016-0032(89)90065-3
OpenAlex ID: W2088630986
cites work: Q3686255
cites work: Q3875490
description: scientific article; zbMATH DE number 4108097