Displaying similar documents to “Quadratic finite elements with non-matching grids for the unilateral boundary contact”

The treatment of “pinching locking” in -shell elements

Dominique Chapelle, Anca Ferent, Patrick Le Tallec (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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We consider a family of shell finite elements with quadratic displacements across the thickness. These elements are very attractive, but compared to standard general shell elements they face another source of numerical locking in addition to shear and membrane locking. This additional locking phenomenon – that we call “pinching locking” – is the subject of this paper and we analyse a numerical strategy designed to overcome this difficulty. Using a model problem in which only this specific...

Parallel strategies for solving the FETI coarse problem in the PERMON toolbox

Vašatová, Alena, Tomčala, Jiří, Sojka, Radim, Pecha, Marek, Kružík, Jakub, Horák, David, Hapla, Václav, Čermák, Martin

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PERMON (Parallel, Efficient, Robust, Modular, Object-oriented, Numerical) is a newly emerging collection of software libraries, uniquely combining Quadratic Programming (QP) algorithms and Domain Decomposition Methods (DDM). Among the main applications are contact problems of mechanics. This paper gives an overview of PERMON and selected ingredients improving scalability, demonstrated by numerical experiments.

Quadratic embeddings.

Havlicek, Hans, Zanella, Corrado (1997)

Beiträge zur Algebra und Geometrie

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