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Títol:
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Goal-oriented h-adaptivity for the Helmholtz equation: error estimates, local indicators and refinement strategies
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Autor/a:
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Steffens, Lindaura; Parés Mariné, Núria; Díez, Pedro
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Altres autors:
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Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental; Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
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Abstract:
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The final publication is available at Springer via http://dx.doi.org/10.1007/s00466-010-0557-2 |
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Abstract:
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This paper introduces a new goal-oriented adaptive technique based on a simple and effective post-process of the finite element approximations. The goal-oriented character of the estimate is achieved by analyzing both the direct problem and an auxiliary problem, denoted as adjoint or dual problem, which is related to the quantity of interest. Thus, the error estimation technique proposed in this paper would fall into the category of recovery-type explicit residual a posteriori error estimates. The procedure is valid for general linear quantities of interest and it is also extended to non-linear ones. The numerical examples demonstrate the efficiency of the proposed approach and discuss: (1) different error representations, (2) assessment of the dispersion error, and (3) different remeshing criteria. |
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Abstract:
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Peer Reviewed |
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Matèries:
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Probabilitat
-Error-correcting codes (Information theory)
-Goal-oriented adaptivity
-Quantity of interest
-Error estimates
-Helmholtz equation
-Dispersion error
-Codis de correcció d'errors (Teoria de la informació)
-Classificació AMS::94 Information And Communication, Circuits::94B Theory of error-correcting codes and error-detecting codes |
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Drets:
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Tipus de document:
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Article - Versió presentada
Article |
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