Note on a product formula for the Bayad function and a law of quadratic reciprocity
Heima Hayashi (2011)
Acta Arithmetica
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Heima Hayashi (2011)
Acta Arithmetica
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Strebel, Kurt (1993)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Elomary, Mohamed Abdou (2003)
International Journal of Mathematics and Mathematical Sciences
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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...
Vladimir Janković (2005)
The Teaching of Mathematics
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Lerna Pehlivan, Kenneth S. Williams (2015)
Acta Arithmetica
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Laghribi, Ahmed (1999)
Documenta Mathematica
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Loos, Ottmar (1997)
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Svetozar Kurepa (1987)
Publications de l'Institut Mathématique
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A.I. Barvinok (1993)
Discrete & computational geometry
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Alexander E. Patkowski (2011)
Colloquium Mathematicae
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We provide a new approach to establishing certain q-series identities that were proved by Andrews, and show how to prove further identities using conjugate Bailey pairs. Some relations between some q-series and ternary quadratic forms are established.
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.