Liebe Mitarbeiter des INS, im Rahmen unseres Forschungsseminars "Mathematics of Computation" findet am Donnerstag, 30.06.16, folgender Vortrag statt: 13:00 (s.t): Friederike Hellwig, Humboldt-Universität zu Berlin: "Low-Order Discontinuous Petrov-Galerkin Finite Element Methods for Linear Elasticity" Ort ist wie immer Raum 6.020 WE6. Weitere Informationen und eine Kurzzusammenfassung des Vortrags gibt es in Kürze unter http://ullrich.ins.uni-bonn.de/seminar/ . Mit den besten Grüßen Daniel Peterseim, Tino Ullrich, André Uschmajew ---------- ABSTRACT--------------------- Low-Order Discontinuous Petrov-Galerkin Finite Element Methods for Linear Elasticity Since the design of pointwise symmetric stress approximations in H(div, Ω; S) for linear elasticity is cumbersome, especially in 3D, the discontinuous Petrov-Galerkin methodology promises a low-order symmetric stress approximation. In this talk, we use the ultraweak formulation to introduce three new methods with piecewise constant ansatz functions for the displacement and the stress variable and piecewise affine and continuous interface displacements and piecewise constant interface tractions. The three methods for linear elasticity differ from each other in the choice of norms and the occurence of some constraint. The minimal test space of piecewise (and, in general, discontinuous) symmetric parts of lowest-order Raviart-Thomas functions and piecewise affine functions allow for a direct proof of the discrete inf-sup condition and a complete a priori and a posteriori error analysis which is robust in the incompressible limit as λ → ∞. Numerical experiments with uniform and adaptive mesh-refinings investigate λ-robustness and confirm that the third scheme is locking-free. _______________________________________________ Ins-mitarbeiter mailing list Ins-mitarbeiter@ins.uni-bonn.de https://mail.ins.uni-bonn.de/mailman/listinfo/ins-mitarbeiter