A priori error estimation for the dual mixed finite element method of the elastodynamic problem in a polygonal domain, II

Autor:	L. Boulaajine, L. Paquet, Mohamed Farhloul
Rok vydání:	2011
Předmět:	Computational Mathematics Mathematical optimization Discretization Discrete time and continuous time Applied Mathematics Numerical analysis A priori and a posteriori Applied mathematics Mixed finite element method Finite element method Displacement (vector) Numerical stability Mathematics
Zdroj:	Journal of Computational and Applied Mathematics. 235:1288-1310
ISSN:	0377-0427
DOI:	10.1016/j.cam.2010.08.014
Popis:	In this paper we analyze a new dual mixed formulation of the elastodynamic system in polygonal domains by using an implicit scheme for the time discretization. After the analysis of stability of the fully discrete scheme, L^~ in time, L^2 in space a priori error estimates for the approximation of the displacement, the strain, the pressure and the rotational are derived. Numerical tests are presented which confirm our theoretical results.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::10011b54a4bb6477c244af1fcc0703b6 https://doi.org/10.1016/j.cam.2010.08.014 Zobrazit plný text záznamu Full Text from ScienceDirect