Mixed Finite Element Methods - Theory and Discretization

This contribution is concerned with the formulation of mixed finite elements discretization schemes for nonlinear problems of solid mechanics. Thus continuum mechanics for solids is described in the first section to provide the necessary background for the numerical method. This includes necessary kinematical relations as well as the balance laws with their weak forms and the constitutive equations. The second section then describes mixed discretization schemes which can be applied to simulate nonlinear elastic problems including finite deformations.

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