Least-squares mixed finite elements for the linear elasticity problem
Theoretical and applied mechanics, Tome 25 (1999) no. 1, p. 21
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We expose a theoretical analysis of a least-squares mixed finite elements method for the linear elasticity problem in two-and three-dimensional domains. The coerciveness of the weak form of the problem is proved. It is shown that the finite element approximation yields a symmetric positive definite linear system with condition number $O(h^{-2})$. The error estimate is obtained.
@article{TAM_1999_25_1_a1,
author = {Bo\v{s}ko Jovanovi\'c and Ivan \v{S}estak},
title = {Least-squares mixed finite elements for the linear elasticity problem},
journal = {Theoretical and applied mechanics},
pages = {21 },
year = {1999},
volume = {25},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TAM_1999_25_1_a1/}
}
Boško Jovanović; Ivan Šestak. Least-squares mixed finite elements for the linear elasticity problem. Theoretical and applied mechanics, Tome 25 (1999) no. 1, p. 21 . http://geodesic.mathdoc.fr/item/TAM_1999_25_1_a1/