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A posteriori finite element error bounds for non-linear outputs of the Helmholtz equation

Autor
Sarrate, J.; Peraire, J.; Patera, A.
Tipus d'activitat
Article en revista
Revista
International journal for numerical methods in fluids
Data de publicació
1999-09
Volum
31
Número
1
Pàgina inicial
17
Pàgina final
36
DOI
10.1002/(SICI)1097-0363(19990915)31:1<17::AID-FLD953>3.0.CO;2-X
Repositori
http://hdl.handle.net/2117/8530 Obrir en finestra nova
Resum
A Neumann subproblem a posteriori finite element procedure for the efficient and accurate calculation of rigorous, constant-free upper and lower bounds for non-linear outputs of the Helmholtz equation in two-dimensional exterior domains is presented. The bound procedure is firstly formulated, with particular emphasis on appropriate extension to complex-valued equations; then, illustrative numerical examples for outputs, such as the intensity of the scattered wave over a small segment of the doma...
Citació
Sarrate, J.; Peraire, J.; Patera, A. A posteriori finite element error bounds for non-linear outputs of the Helmholtz equation. "International journal for numerical methods in fluids", Setembre 1999, vol. 31, núm. 1, The definitive version is available at http://www3.interscience.wiley.com/journal/64000040/abstract, p. 17-36.
Paraules clau
Fe Error Bounds, Helmholtz Equation, Non-linear Outputs
Grup de recerca
LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria

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