A method of piecewise-smooth numerical branching

0476046 - ÚGN 2018 RIV DE eng J - Journal Article
Ligurský, Tomáš - Renard, Y.
A method of piecewise-smooth numerical branching.
ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik. Roč. 97, č. 7 (2017), s. 815-827. ISSN 0044-2267. E-ISSN 1521-4001
R&D Projects: GA MŠMT LQ1602
Institutional support: RVO:68145535
Keywords : numerical branching * piecewise smooth * steady-state problem * contact problem * Coulomb friction
OECD category: Applied mathematics
Impact factor: 1.296, year: 2017
http://onlinelibrary.wiley.com/doi/10.1002/zamm.201600219/epdf

A method of numerical branching is proposed for piecewise-smooth steady-state problems when any analytical expressions
are not known for the regions of smoothness of the function involved. The performance of the method is shown for model
bifurcations in discretised contact problems with Coulomb friction. First, different parameter settings in its input are
tested so that the optimum one can be proposed. Then, the method is used to investigate the behaviour of the bifurcations
for different meshes. All solution branches seem to be discovered reliably if the parameters are set up properly.
Permanent Link: http://hdl.handle.net/11104/0272612