Mixed stabilized finite element methods in linear elasticity for the velocity–stress equations in the time and the frequency domains
In this work we present stabilized finite element methods for the mixed velocity–stress elasticity equations and for its irreducible velocity form. This is done both for the time and frequency domains, the latter being obtained by assuming a harmonic behavior in time. Stabilization methods that belo...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2023 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/380719 |
| Acceso en línea: | https://hdl.handle.net/2117/380719 https://dx.doi.org/10.1016/j.cma.2022.115777 |
| Access Level: | acceso abierto |
| Palabra clave: | Solid mechanics Finite element method Elastodynamics Stabilized finite element methods Vector-tensor mixed formulation Frequency domain Mecànica dels sòlids Mètode dels elements finits Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits Àrees temàtiques de la UPC::Enginyeria civil::Materials i estructures |
| Sumario: | In this work we present stabilized finite element methods for the mixed velocity–stress elasticity equations and for its irreducible velocity form. This is done both for the time and frequency domains, the latter being obtained by assuming a harmonic behavior in time. Stabilization methods that belong to the computational framework of the Variational Multi-Scale formulation are used. It is shown that the adequate selection of the algorithmic parameters on which the formulation depends allows one to switch from the primal to the dual functional framework. The performance of the method is tested through several numerical examples, one of which includes a convergence study. |
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