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- W1963497029 abstract "In the present work, a mixed finite element based on a modified least-squares formulation is proposed. Here, we consider the time-dependent equations for quasi-incompressible elastodynamics under small strain assumptions. The main goal is to obtain an accurate approximation of both displacements and stresses in particular for the lowest-order element. Basis for the element formulation is a weak form resulting from a least-squares method. The L2-norm minimization of the time-discretized residuals of the given first-order system leads to a functional depending on approximations for displacements and stresses. By introducing a time-independent displacement test function, a weak form is derived. A numerical example concerning quasi-incompressible elasticity shows the performance of the approach for the lowest-order element RT0P1as. (© 2010 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)" @default.
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- W1963497029 date "2010-11-16" @default.
- W1963497029 modified "2023-09-23" @default.
- W1963497029 title "A Least-Squares Mixed Finite Element for Quasi-Incompressible Elastodynamics" @default.
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- W1963497029 doi "https://doi.org/10.1002/pamm.201010102" @default.
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