Title:
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A stabilized finite element method for the mixed wave equation in an ALE framework with application to diphthong production
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Author:
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Guasch Fortuny, Oriol; Arnela, Marc; Codina, Ramon; Espinoza Román, Héctor Gabriel
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Other authors:
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Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental; Universitat Politècnica de Catalunya. ANiComp - Anàlisi numèrica i computació científica |
Abstract:
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The archived file is not the final published version of the article.
© (2016) S. Hirzel Verlag/European Acoustics Association
The definitive publisher-authenticated version is available online at http://www.ingentaconnect.com/contentone/dav/aaua/2016/00000102/00000001/art00012
Readers must contact the publisher for reprint or permission to use the material in any form. |
Abstract:
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Working with the wave equation in mixed rather than irreducible form allows one to directly account for both, the acoustic pressure field and the acoustic particle velocity field. Indeed, this becomes the natural option in many problems, such as those involving waves propagating in moving domains, because the equations can easily be set in an arbitrary Lagrangian-Eulerian (ALE) frame of reference. Yet, when attempting a standard Galerkin finite element solution (FEM) for them, it turns out that an inf-sup compatibility constraint has to be satisfied, which prevents from using equal interpolations for the approximated acoustic pressure and velocity fields. In this work it is proposed to resort to a subgrid scale stabilization strategy to circumvent this condition and thus facilitate code implementation. As a possible application, we address the generation of diphthongs in voice production. |
Abstract:
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Peer Reviewed |
Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits -Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Processament del senyal::Processament de la parla i del senyal acústic -Speech processing systems--Mathematical models -Voice production -Diphthongs -ALE mixed wave equation -Stabilized finite elements methods -Subgrid scale stabilization -Processament de la parla -- Models matemàtics |
Rights:
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Document type:
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Article - Submitted version Article |
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