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A Meshless Method Using Radial Basis Functions for Beam Bending Problems - Tapa blanda

Raju, I. S.

 
9781289261320: A Meshless Method Using Radial Basis Functions for Beam Bending Problems
Tapa blanda
ISBN 10: 1289261326 ISBN 13: 9781289261320
Editorial: BiblioGov, 2013

Sinopsis

A meshless local Petrov-Galerkin (MLPG) method that uses radial basis functions (RBFs) as trial functions in the study of Euler-Bernoulli beam problems is presented. RBFs, rather than generalized moving least squares (GMLS) interpolations, are used to develop the trial functions. This choice yields a computationally simpler method as fewer matrix inversions and multiplications are required than when GMLS interpolations are used. Test functions are chosen as simple weight functions as they are in the conventional MLPG method. Compactly and noncompactly supported RBFs are considered. Noncompactly supported cubic RBFs are found to be preferable. Patch tests, mixed boundary value problems, and problems with complex loading conditions are considered. Results obtained from the radial basis MLPG method are either of comparable or better accuracy than those obtained when using the conventional MLPG method.

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Reseña del editor

A meshless local Petrov-Galerkin (MLPG) method that uses radial basis functions (RBFs) as trial functions in the study of Euler-Bernoulli beam problems is presented. RBFs, rather than generalized moving least squares (GMLS) interpolations, are used to develop the trial functions. This choice yields a computationally simpler method as fewer matrix inversions and multiplications are required than when GMLS interpolations are used. Test functions are chosen as simple weight functions as they are in the conventional MLPG method. Compactly and noncompactly supported RBFs are considered. Noncompactly supported cubic RBFs are found to be preferable. Patch tests, mixed boundary value problems, and problems with complex loading conditions are considered. Results obtained from the radial basis MLPG method are either of comparable or better accuracy than those obtained when using the conventional MLPG method.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
BiblioGov
Año de publicación
2013
Idioma
Inglés
ISBN 10 
1289261326
ISBN 13 
9781289261320
Encuadernación
Tapa blanda
Número de páginas
42
Contacto del fabricante
no disponible
Persona responsable
Buchpark GmbH
gpsr@buchpark.de

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