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Title:
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Goal oriented error estimation for the element free Galerkin method
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Author:
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Vidal Seguí, Yolanda; Huerta, Antonio
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Other authors:
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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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A novel approach for implicit residual-type error estimation in meshfree methods is presented. This allows to compute upper and lower bounds of the error in energy norm with the ultimate goal of obtaining bounds for outputs of interest. The proposed approach precludes the main drawbacks of standard residual type estimators circumventing the need of flux-equilibration and resulting in a simple implementation that avoids integrals on edges/sides of a domain decomposition (mesh). This is especially interesting for mesh-free methods. |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
-Galerkin methods
-Boundary element methods
-Element Free Galerkin
-mesh-free methods
-error estimation
-engineering outputs
-residual based estimators
-Elements de contorn, Mètode dels
-Galerkin, Mètodes de |
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Rights:
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Document type:
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Article - Submitted version
Article |
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