Academic Journal
A stabilized finite element method for the mixed wave equation in an ALE framework with application to diphthong production
| العنوان: | A stabilized finite element method for the mixed wave equation in an ALE framework with application to diphthong production |
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| المؤلفون: | Guasch Fortuny, Oriol, Arnela, Marc, Codina, Ramon, Espinoza Román, Héctor Gabriel |
| المساهمون: | Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, Universitat Politècnica de Catalunya. ANiComp - Anàlisi numèrica i computació científica |
| سنة النشر: | 2016 |
| المجموعة: | Universitat Politècnica de Catalunya (UPC): Tesis Doctorals en Xarxa (TDX) / Theses and Dissertations Online |
| مصطلحات موضوعية: | 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 |
| الوصف: | 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. ; 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. ; Peer Reviewed ; Postprint (author's final draft) |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | 13 p. |
| اللغة: | English |
| تدمد: | 1610-1928 |
| Relation: | http://www.ingentaconnect.com/contentone/dav/aaua/2016/00000102/00000001/art00012; Guasch, O., Arnela, M., Codina, R., Espinoza, H. A stabilized finite element method for the mixed wave equation in an ALE framework with application to diphthong production. "Acta Acustica united with Acustica", Gener 2016, vol. 102, núm. 1, p. 94-106.; http://hdl.handle.net/2117/103002 |
| DOI: | 10.3813/AAA.918927 |
| الاتاحة: | http://hdl.handle.net/2117/103002 https://doi.org/10.3813/AAA.918927 |
| Rights: | Open Access |
| رقم الانضمام: | edsbas.D8A14F4D |
| قاعدة البيانات: | BASE |
| تدمد: | 16101928 |
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| DOI: | 10.3813/AAA.918927 |