A MIXED NONCONFORMING FINITE ELEMENT FOR THE ELASTICITY AND STOKES PROBLEMS

Autor:	Michel Fortin, M. Farhloul
Rok vydání:	1999
Předmět:	Quadratic equation Applied Mathematics Modeling and Simulation Mathematical analysis Piecewise Compressibility Stokes problem Mixed finite element method Elasticity (economics) Finite element method Mathematics
Zdroj:	Mathematical Models and Methods in Applied Sciences. :1179-1199
ISSN:	1793-6314 0218-2025
DOI:	10.1142/s0218202599000531
Popis:	A mixed-hybrid formulation of the elasticity problem with a nonconforming symmetric approximation of the stress–tensor is considered. Based on such a formulation, a new finite element of low order with minimal number of degrees of freedom is constructed. Optimal error estimates are derived. Moreover all estimates are valid uniformly with respect to compressibility and apply for the Stokes problem. Finally, an equivalence between this finite element and the piecewise quadratic nonconforming approximation of the elasticity problem is established.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::93f78e1ab9acd5ed8f4c041ed261bbac https://doi.org/10.1142/s0218202599000531 Zobrazit plný text záznamu