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Título:
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Imposing essential boundary conditions in mesh-free methods
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Autor/a:
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Fernández Méndez, Sonia; Huerta, Antonio
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Otros autores:
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Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III; Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
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Abstract:
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Imposing essential boundary conditions is a key issue in mesh-free methods. The mesh-free interpolation does not verify the Kronecker delta property and, therefore, the imposition of prescribed values is not as straightforward as for the finite element method. The aim of this paper is to present a general overview on the existing techniques to enforce essential boundary conditions in Galerkin based mesh-free methods. Special attention is paid to the mesh-free coupling with finite elements for the imposition of prescribed values and to methods based on a modification of the Galerkin weak form. Particular examples are used to analyze and compare their performance in different situations. |
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Abstract:
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Peer Reviewed |
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Materia(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
-Boundary element methods
-Essential boundary conditions
-Mesh-free methods
-Lagrange multipliers
-Nitsche's method
-Coupling with finite elements
-Elements de contorn, Mètode dels |
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Derechos:
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Tipo de documento:
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Artículo - Versión presentada
Artículo |
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