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An equilibrium finite element method in three-dimensional elasticity

Michal Křížek (1982)

Aplikace matematiky

The tetrahedral stress element is introduced and two different types of a finite piecewise linear approximation of the dual elasticity problem are investigated on a polyhedral domain. Fot both types a priori error estimates O ( h 2 ) in L 2 -norm and O ( h 1 / 2 ) in L -norm are established, provided the solution is smooth enough. These estimates are based on the fact that for any polyhedron there exists a strongly regular family of decomprositions into tetrahedra, which is proved in the paper, too.

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