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Goal-oriented h-adaptivity for the Helmholtz equation: error estimates, local indicators and refinement strategies

Author
Steffens, L.; Pares, N.; Diez, P.
Type of activity
Journal article
Journal
Computational mechanics
Date of publication
2011-01-14
Volume
47
Number
6
First page
681
Last page
699
DOI
https://doi.org/10.1007/s00466-010-0557-2 Open in new window
Repository
http://hdl.handle.net/2117/116898 Open in new window
URL
http://www.springerlink.com/content/550820r004164656/ Open in new window
Abstract
The final publication is available at Springer via http://dx.doi.org/10.1007/s00466-010-0557-2 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 ...
Citation
Steffens, L., Pares, N., Diez, P. Goal-oriented h-adaptivity for the Helmholtz equation: error estimates, local indicators and refinement strategies. "Computational mechanics", 14 Gener 2011, vol. 47, núm. 6, p. 681-699.
Keywords
Dispersion error, Error estimates, Goal-oriented adaptivity, Helmholtz equation, Quantity of interest
Group of research
LACÀN - Numerical Methods for Applied Sciences and Engineering

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