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A Sommerfeld non-reflecting boundary condition for the wave equation in mixed form
dc.contributor.author | Espinoza Román, Héctor Gabriel |
dc.contributor.author | Codina, Ramon |
dc.contributor.author | Badia, Santiago |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Resistència de Materials i Estructures a l'Enginyeria |
dc.date.accessioned | 2014-07-18T09:14:38Z |
dc.date.created | 2014-07-01 |
dc.date.issued | 2014-07-01 |
dc.identifier.citation | Espinoza, H.; Codina, R.; Badia, S. A Sommerfeld non-reflecting boundary condition for the wave equation in mixed form. "Computer methods in applied mechanics and engineering", 01 Juliol 2014, vol. 276, p. 122-148. |
dc.identifier.issn | 0045-7825 |
dc.identifier.uri | http://hdl.handle.net/2117/23554 |
dc.description.abstract | In this paper we develop numerical approximations of the wave equation in mixed form supplemented with non-reflecting boundary conditions (NRBCs) of Sommerfeld-type on artificial boundaries for truncated domains. We consider three different variational forms for this problem, depending on the functional space for the solution, in particular, in what refers to the regularity required on artificial boundaries. Then, stabilized finite element methods that can mimic these three functional settings are described. Stability and convergence analyses of these stabilized formulations including the NRBC are presented. Additionally, numerical convergence test are evaluated for various polynomial interpolations, stabilization methods and variational forms. Finally, several benchmark problems are solved to determine the accuracy of these methods in 2D and 3D. |
dc.format.extent | 27 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Informàtica::Aplicacions de la informàtica::Aplicacions informàtiques a la física i l‘enginyeria |
dc.subject.lcsh | Boundary layer--Mathematical models |
dc.subject.other | Non-reflecting boundary condition |
dc.subject.other | Open boundary condition |
dc.subject.other | Artificial boundary condition |
dc.subject.other | Wave equation |
dc.subject.other | Stabilized finite element methods |
dc.subject.other | Variational multi-scale method |
dc.title | A Sommerfeld non-reflecting boundary condition for the wave equation in mixed form |
dc.type | Article |
dc.subject.lemac | Capa límit (Dinàmica de fluids) |
dc.contributor.group | Universitat Politècnica de Catalunya. (MC)2 - Grup de Mecànica Computacional en Medis Continus |
dc.identifier.doi | 10.1016/j.cma.2014.03.015 |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | http://www.sciencedirect.com/science/article/pii/S0045782514001017 |
dc.rights.access | Restricted access - publisher's policy |
local.identifier.drac | 14015570 |
dc.description.version | Postprint (published version) |
dc.date.lift | 10000-01-01 |
local.citation.author | Espinoza, H.; Codina, R.; Badia, S. |
local.citation.publicationName | Computer methods in applied mechanics and engineering |
local.citation.volume | 276 |
local.citation.startingPage | 122 |
local.citation.endingPage | 148 |
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