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Estimation of the dispersion error in the numerical wave number of standard and stabilized finite element approximations of the Helmholtz equation

Autor
Steffens, L. M.; Pares, N.; Diez, P.
Tipus d'activitat
Article en revista
Revista
International journal for numerical methods in engineering
Data de publicació
2011-06-10
Volum
89
Número
10
Pàgina inicial
1197
Pàgina final
1224
DOI
https://doi.org/10.1002/nme.3104 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/117188 Obrir en finestra nova
URL
https://onlinelibrary.wiley.com/doi/abs/10.1002/nme.3104 Obrir en finestra nova
Resum
An estimator for the error in the wave number is presented in the context of finite element approximations of the Helmholtz equation. The proposed estimate is an extension of the ideas introduced in Steffens and D'iez (Comput. Methods Appl. Mech. Engng 2009; 198:1389–1400). In the previous work, the error assessment technique was developed for standard Galerkin approximations. Here, the methodology is extended to deal also with stabilized approximations of the Helmholtz equation. Thus, the acc...
Citació
Steffens, L. M., Pares, N., Diez, P. Estimation of the dispersion error in the numerical wave number of standard and stabilized finite element approximations of the Helmholtz equation. "International journal for numerical methods in engineering", 10 Juny 2011, vol. 89, núm. 10, p. 1197-1224.
Paraules clau
Helmholtz equation, a posteriori error estimation, dispersion/pollution error, error estimation of wave number, stabilized methods, wave problems
Grup de recerca
LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria

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