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

Giani, S.

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.

Citation

Giani, S. (2013). High-order/hp-adaptive discontinuous Galerkin finite element methods for acoustic problems. Computing, 95(1 Supplement), S215-S234. https://doi.org/10.1007/s00607-012-0253-5

• Journal Article Type: Article
• Acceptance Date: Dec 3, 2012
• Publication Date: May 1, 2013
• Deposit Date: Feb 12, 2013
• Publicly Available Date: Oct 13, 2015
• Journal: Computing
• Print ISSN: 0010-485X
• Electronic ISSN: 1436-5057
• Publisher: Springer
• Peer Reviewed: Peer Reviewed
• Volume: 95
• Issue: 1 Supplement
• Pages: S215-S234
• DOI: https://doi.org/10.1007/s00607-012-0253-5
• Keywords: Finite element method, hp-adaptivity, A posteriori error estimates, Acoustics.