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Title of Journal: Comput Mech

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Abbravation: Computational Mechanics

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Springer Berlin Heidelberg

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DOI

10.1007/s11418-010-0486-6

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1432-0924

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Weighted overconstrained leastsquares mixed finit

Authors: Alexander Schwarz Karl Steeger Jörg Schröder
Publish Date: 2014/04/24
Volume: 54, Issue: 3, Pages: 603-612
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Abstract

The main goal of this contribution is the improvement of the approximation quality of leastsquares mixed finite elements for static and dynamic problems in quasiincompressible elasticity Compared with other variational approaches as for example the Galerkin method the main drawback of leastsquares formulations is the unsatisfying approximation quality in terms of accuracy and robustness Here lowerorder elements are especially affected see eg 33 In order to circumvent these problems we introduce overconstrained firstorder systems with suited weights We consider different mixed leastsquares formulations depending on stresses and displacements with a maximal cubical polynomial interpolation For the continuous approximation of the stresses Raviart–Thomas elements are used while for the displacements standard conforming elements are employed Some numerical benchmarks are presented in order to validate the performance and efficiency of the proposed formulations

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