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A posteriori finite element error bounds for non-linear outputs of the Helmholtz equation
| dc.contributor.author | Sarrate Ramos, Josep |
| dc.contributor.author | Peraire Guitart, Jaume |
| dc.contributor.author | Patera, A. |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
| dc.date.accessioned | 2010-08-02T08:26:13Z |
| dc.date.available | 2010-08-02T08:26:13Z |
| dc.date.created | 1999-09 |
| dc.date.issued | 1999-09 |
| dc.identifier.citation | 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. |
| dc.identifier.issn | 0271-2091 |
| dc.identifier.uri | http://hdl.handle.net/2117/8530 |
| dc.description.abstract | 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 domain boundary, are provided. |
| dc.format.extent | 20 p. |
| dc.language.iso | eng |
| dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits |
| dc.subject.lcsh | Helmholtz equation--Numerical solutions |
| dc.subject.other | FE error bounds |
| dc.subject.other | Helmholtz equation |
| dc.subject.other | non-linear outputs |
| dc.title | A posteriori finite element error bounds for non-linear outputs of the Helmholtz equation |
| dc.type | Article |
| dc.subject.lemac | Elements finits, Mètode dels |
| dc.contributor.group | Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
| dc.identifier.doi | 10.1002/(SICI)1097-0363(19990915)31:1<17::AID-FLD953>3.0.CO;2-X |
| dc.description.peerreviewed | Peer Reviewed |
| dc.rights.access | Open Access |
| local.identifier.drac | 811532 |
| dc.description.version | Postprint (author’s final draft) |
| local.citation.author | Sarrate, J.; Peraire, J.; Patera, A. |
| local.citation.other | The definitive version is available at http://www3.interscience.wiley.com/journal/64000040/abstract |
| local.citation.publicationName | International journal for numerical methods in fluids |
| local.citation.volume | 31 |
| local.citation.number | 1 |
| local.citation.startingPage | 17 |
| local.citation.endingPage | 36 |
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