Grid generation via deformation
type: Item
instance of: scholarly article
title: Grid generation via deformation
zbMATH Open document ID: 0766.58057
DOI: 10.1016/0893-9659(92)90032-5
author: S. Singh
published in: Applied Mathematics Letters
publication date: 1993-01-06T00:00:00Z
review text: The main Theorem is the following: Let \(V\subset R^ n\) be a bounded open set, \(f\in C^ K(\overline V)\) \({(f>0,}K\geq 1)\) and \(\int_ Vl/f(x)dx=| V|\). Then there exists \(u\in\text{Diff}^ K(\overline V)\) satisfying \[ \text{det}\nabla u(x)=f(u(x)),\quad x\in V,\quad u(x)=x,\quad x\in\partial V. \]
Mathematics Subject Classification ID: 58J52
Mathematics Subject Classification ID: 58Z05
zbMATH DE Number: 85838
zbMATH Keywords: deformation technique
zbMATH Keywords: grid generation
MaRDI profile type: Publication
full work available at URL: 0893-9659(92)90032-5
OpenAlex ID: W2027359961
cites work: On the Volume Elements on a Manifold
cites work: A new approach to grid generation
cites work: A direct method in dacorogna-moser's approach of grid generation problems
cites work: On a partial differential equation involving the Jacobian determinant
cites work: Q3732914
cites work: Parameter estimation in variational grid generation
cites work: Grid cell volume control with an adaptive grid generator
cites work: Q3738756
Wikidata QID: Q127921991
description: scientific article; zbMATH DE number 85838