A stable mixed finite element method for nearly incompressible linear elastostatics

We present a new, stable, mixed finite element (FE) method for linear elastostatics of nearly incompressible solids. The method is the automatic variationally stable FE method of Calo et al., in which we consider a Petrov–Galerkin weak formulation where the stress and displacement variables are in t...

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Veröffentlicht in:	International journal for numerical methods in engineering 2021-09, Vol.122 (17), p.4709-4729
Hauptverfasser:	Valseth, Eirik, Romkes, Albert, Kaul, Austin R., Dawson, Clint
Format:	Artikel
Sprache:	eng
Schlagworte:	a priori error estimation adaptive mesh refinement composite materials Computational fluid dynamics discontinuous Petrov–Galerkin method Discretization Elastostatics Finite element method Galerkin method Linear algebra nearly incompressible elasticity Poisson's ratio Subspaces
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