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Variational principles in grid generation and geometric modelling: theoretical justifications and open problems
Author(s) -
Garanzha V. A.
Publication year - 2004
Publication title -
numerical linear algebra with applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.02
H-Index - 53
eISSN - 1099-1506
pISSN - 1070-5325
DOI - 10.1002/nla.363
Subject(s) - grid , mathematics , variational principle , variational analysis , mathematical optimization , calculus (dental) , mathematical economics , mathematical analysis , geometry , medicine , dentistry
The paper is devoted to analysis of variational principles for construction of mappings with prescribed properties in grid generation and geometric modelling. An attempt is made to formulate general requirements which should be satisfied by the variational principle. Theoretical justification is considered along with review of unsolved problems and fundamental mathematical difficulties. Copyright © 2004 John Wiley & Sons, Ltd.