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High-order/hp-adaptive discontinuous Galerkin finite element methods for acoustic problems.

Giani, S. (2013) 'High-order/hp-adaptive discontinuous Galerkin finite element methods for acoustic problems.', Computing., 95 (1 Supplement). S215-S234.

Abstract

In this paper we present two different kinds of error estimators for acoustic problems: a residual-based and a dual weighted residual one. The former error estimator is explicit and cheap to compute. The latter is based on a duality argument and it is capable of computing accurate and reliable estimations of quantities of interest, which can be safely used for finite element analysis and model validation. The error estimators presented in this work are designed to work with a \(hp\)-adaptive discontinuous Galerkin methods.

Item Type:Article
Keywords:Finite element method, hp-adaptivity, A posteriori error estimates, Acoustics.
Full text:(AM) Accepted Manuscript
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Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1007/s00607-012-0253-5
Publisher statement:The final publication is available at Springer via http://dx.doi.org/10.1007/s00607-012-0253-5
Date accepted:03 December 2012
Date deposited:13 October 2015
Date of first online publication:May 2013
Date first made open access:No date available

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