Isogeometric collocation mixed methods for rods

Ferdinando  Auricchio; Lourenco Beirão da  Veiga; Josef  Kiendl; Carlo  Lovadina; Alessandro  Reali

doi:10.3934/dcdss.2016.9.33

Article Contents

2016, Volume 9, Issue 1: 33-42. Doi: 10.3934/dcdss.2016.9.33

This issue Previous Article The path decomposition technique for systems of hyperbolic conservation laws Next Article Elliptic boundary value problems in spaces of continuous functions

Isogeometric collocation mixed methods for rods

1.
Dipartimento di Ingegneria Civile e Architettura, Università di Pavia, Via Ferrata 3, 27100 Pavia
2.
Dipartimento di Matematica e Applicazioni, Università di Milano Bicocca, Via Cozzi 53, 20125 Milano
3.
Institute of Applied Mechanics, TU Braunschweig, Bienroder Weg 87, 38106 Braunschweig
4.
Dipartimento di Matematica, Università di Pavia, Via Ferrata 1, 27100 Pavia

Received: August 31, 2014

Revised: January 31, 2015

Published: January 2016

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Abstract

Isogeometric collocation mixed methods for spatial rods are presented and studied. A theoretical analysis of stability and convergence is available. The proposed schemes are locking-free, irrespective of the selected approximation spaces.

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Mathematics Subject Classification: Primary: 65L60; Secondary: 74K10, 74S25.

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References

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