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:
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