Towards a unified analysis of mixed methods for elasticity with weakly symmetric stress
نویسندگان
چکیده
منابع مشابه
Towards a unified analysis of mixed methods for elasticity with weakly symmetric stress
We propose a framework for the unified analysis of mixed methods for elasticity with weakly symmetric stress. Based on a commuting diagram in the weakly symmetric elasticity complex and extending a previous stability result, stable mixed methods are obtained by combining Stokes stable and elasticity stable finite elements. We show that the framework can be used to analyze most existing mixed me...
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In this paper, we construct new finite element methods for the approximation of the equations of linear elasticity in three space dimensions that produce direct approximations to both stresses and displacements. The methods are based on a modified form of the Hellinger–Reissner variational principle that only weakly imposes the symmetry condition on the stresses. Although this approach has been...
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ژورنال
عنوان ژورنال: Advances in Computational Mathematics
سال: 2015
ISSN: 1019-7168,1572-9044
DOI: 10.1007/s10444-015-9427-y