Inf-sup stable finite element pairs based on dual meshes and bases for nearly incompressible elasticity
نویسنده
چکیده
We consider finite element methods based on simplices to solve the problem of nearly incompressible elasticity. Two different approaches based respectively on dual meshes and dual bases are presented, where in both approaches pressure is discontinuous and can be statically condensed out from the system. These novel approaches lead to displacement-based low order finite element methods for nearly incompressible elasticity based on rigorous mathematical framework. Numerical results are provided to demonstrate the efficiency of the approach.
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