Conjugate method solutions of the biharmonic equation for the generation of boundary orthogonal grids

A finite difference approximation of the biharmonic equation is solved using a number of preconditioned conjugate gradient methods, for the generation of curvilinear boundary-orthogonal grids in two dimensions. The methods are applied in a number of domains of electrical engineering interest for the...

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Published inComputer methods in applied mechanics and engineering Vol. 98; no. 2; pp. 273 - 290
Main Authors Sparis, Panagiotis D., Karkanis, Anastasios, Pergantis, Stelianos
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 1992
Elsevier
Subjects
Exact sciences and technology
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations, miscellaneous problems
Sciences and techniques of general use
Electrical engineering
Conjugate gradient method
Curvilinear coordinate
Linear system
Biharmonic equation
Boundary condition
Time complexity
Automatic mesh generation
Preconditioning
Finite difference method
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Summary:A finite difference approximation of the biharmonic equation is solved using a number of preconditioned conjugate gradient methods, for the generation of curvilinear boundary-orthogonal grids in two dimensions. The methods are applied in a number of domains of electrical engineering interest for the purpose of comparing CPU time. The solution algorithms may be easily extended for the generation of three-dimensional grids.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0045-7825
1879-2138
DOI:10.1016/0045-7825(92)90179-N