Mixed stabilized finite element methods in linear elasticity for the velocity–stress equations in the time and the frequency domains
Autor: | Ramon Codina, Arnau Fabra |
---|---|
Přispěvatelé: | Universitat Politècnica de Catalunya. Doctorat en Anàlisi Estructural, Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental, Universitat Politècnica de Catalunya. ANiComp - Anàlisi Numèrica i Computació Científica |
Rok vydání: | 2023 |
Předmět: |
Finite element method
Vector-tensor mixed formulation Mecànica dels sòlids Mechanical Engineering Computational Mechanics General Physics and Astronomy Enginyeria civil::Materials i estructures [Àrees temàtiques de la UPC] Mètode dels elements finits Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits [Àrees temàtiques de la UPC] Stabilized finite element methods Frequency domain Computer Science Applications Mechanics of Materials Elastodynamics Solid mechanics |
Zdroj: | Computer Methods in Applied Mechanics and Engineering. 404:115777 |
ISSN: | 0045-7825 |
DOI: | 10.1016/j.cma.2022.115777 |
Popis: | 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. R. Codina gratefully acknowledges the support received through the ICREA Acadèmia Research Program of the Catalan Government. This work was partially funded through the TOP-FSI: RTI2018-098276-B-I00 project of the Spanish Government. CIMNE is a recipient of a “Severo Ochoa Programme for Centers of Excellence in R&D” grant (CEX2018-000797-S) by the Spanish Ministry of Economy and Competitiveness . |
Databáze: | OpenAIRE |
Externí odkaz: |