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• W2094532318 abstract "The main aim of this contribution is to provide a mixed finite element for small strain elasto-viscoplastic material behavior based on the least-squares method. The L2-norm minimization of the residuals of the given first-order system of differential equations leads to a two-field functional with displacements and stresses as process variables. For the continuous approximation of the stresses, lowest-order Raviart–Thomas elements are used, whereas for the displacements, standard conforming elements are employed. It is shown that the non-linear least-squares functional provides an a posteriori error estimator, which establishes ellipticity of the proposed variational approach. Further on, details about the implementation of the least-squares mixed finite elements are given and some numerical examples are presented. Copyright © 2008 John Wiley & Sons, Ltd." @default.
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• W2094532318 date "2008-09-22" @default.
• W2094532318 modified "2023-09-23" @default.
• W2094532318 title "Least-squares mixed finite elements for small strain elasto-viscoplasticity" @default.
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• W2094532318 doi "https://doi.org/10.1002/nme.2456" @default.
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