9783659491221 - the Method of Fundamental Solutions Applied to Eigenproblems in Pde's by Antunes, Pedro R. S. (8 results)
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Taschenbuch. Condition: Neu. The Method of Fundamental Solutions Applied to Eigenproblems in PDE's | Pedro R. S. Antunes | Taschenbuch | 232 S. | Englisch | 2018 | LAP LAMBERT Academic Publishing | EAN 9783659491221 | Verantwortliche Person für die EU: BoD - Books on Demand, In de Tarpen 42, 22848 Norderstedt, info[at]bod[dot]de… | Anbieter: preigu.
Language: English
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Published by LAP LAMBERT Academic Publishing Nov 2013, 2013
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In this work we study the application of the Method of Fundamental Solutions (MFS) for the numerical solution of eigenvalue problems in partial differential equations. The MFS is a meshless method that was previously applied only to… the calculation of eigenfrequencies for domains with simple geometries and Dirichlet boundary conditions (cf. [Karageorghis 2001]). In this work we show that a particular choice of the point-sources allow to obtain excellent results for a fairly general class of domains. We consider Dirichlet and Neumann boundary conditions for the eigenvalue problem associated to the Laplace operator in the interior and exterior cases for two-dimensional domains and for the interior case in three-dimensional domains. The case of domains with corners and cracks is also addressed enriching the MFS base of functions with some particular solutions adapted to these domains. We also present results of the application of the MFS to the eigenvalue problem associated to the Bilaplacian operator and to the Lamé operator, in the elastic case. 232 pp. Englisch.
Language: English
Published by LAP LAMBERT Academic Publishing Nov 2013, 2013
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -In this work we study the application of the Method of Fundamental Solutions (MFS) for the numerical solution of eigenvalue problems in partial differential equations. The MFS is a meshless method that was previously applied only to the… calculation of eigenfrequencies for domains with simple geometries and Dirichlet boundary conditions (cf. [Karageorghis 2001]). In this work we show that a particular choice of the point-sources allow to obtain excellent results for a fairly general class of domains. We consider Dirichlet and Neumann boundary conditions for the eigenvalue problem associated to the Laplace operator in the interior and exterior cases for two-dimensional domains and for the interior case in three-dimensional domains. The case of domains with corners and cracks is also addressed enriching the MFS base of functions with some particular solutions adapted to these domains. We also present results of the application of the MFS to the eigenvalue problem associated to the Bilaplacian operator and to the Lamé operator, in the elastic case.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 232 pp. Englisch.
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - In this work we study the application of the Method of Fundamental Solutions (MFS) for the numerical solution of eigenvalue problems in partial differential equations. The MFS is a meshless method that was previously applied only to the…calculation of eigenfrequencies for domains with simple geometries and Dirichlet boundary conditions (cf. [Karageorghis 2001]). In this work we show that a particular choice of the point-sources allow to obtain excellent results for a fairly general class of domains. We consider Dirichlet and Neumann boundary conditions for the eigenvalue problem associated to the Laplace operator in the interior and exterior cases for two-dimensional domains and for the interior case in three-dimensional domains. The case of domains with corners and cracks is also addressed enriching the MFS base of functions with some particular solutions adapted to these domains. We also present results of the application of the MFS to the eigenvalue problem associated to the Bilaplacian operator and to the Lamé operator, in the elastic case.
Language: English
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