The Method of Fundamental Solutions Applied to Eigenproblems in PDE's - Softcover

Antunes, Pedro R. S.

Softcover

ISBN 10: 3659491225 ISBN 13: 9783659491221

Verlag: LAP LAMBERT Academic Publishing, 2013

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

Pedro Antunes finished Graduation, MSc and PHD studies in Applied Mathematics both at Instituto Superior Técnico, Portugal. He is Assistant Professor at Lusophone University of Humanities and Technologies and Postdoctoral Fellow at the Group of Mathematical Physics - University of Lisbon.

Details zur Ausgabe

• Verlag: LAP LAMBERT Academic Publishing
• Erscheinungsdatum: 2013
• Sprache: Englisch
• ISBN 10: 3659491225
• ISBN 13: 9783659491221
• Einband: Taschenbuch
• Anzahl der Seiten: 232
• Kontakt zum Hersteller: Nicht verfügbar
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