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Título:
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Locking in the incompressible limit: pseudo-divergence-free element free Galerkin
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Autor/a:
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Vidal Seguí, Yolanda; Villon, Pierre; 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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Locking in finite elements has been a major concern since its early developments and
has been extensively studied. However, locking in mesh-free methods is still an open topic. Until
now the remedies proposed in the literature are extensions of already developed methods for finite
elements. Here a new approach is explored and an improved formulation that asymptotically suppresses
volumetric locking for the EFG method is proposed. The diffuse divergence converges to
the exact divergence. Since the diffuse divergence-free condition can be imposed a priori, new interpolation
functions are defined that asymptotically verify the incompressibility condition. Modal
analysis and numerical results for classical benchmark tests in solids and fluids corroborate this
issue. |
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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
-Galerkin methods
-Locking
-Element Free Galerkin
-Diffuse derivatives
-Moving Least Squares
-Incompressible flow
-LBB condition
-Galerkin, Mètodes de |
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Derechos:
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Tipo de documento:
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Artículo - Versión presentada
Artículo |
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