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A method of piecewise‐smooth numerical branching
Author(s) -
Ligurský Tomáš,
Renard Yves
Publication year - 2017
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201600219
Subject(s) - piecewise , branching (polymer chemistry) , smoothness , polygon mesh , bifurcation , mathematics , function (biology) , set (abstract data type) , mathematical analysis , computer science , geometry , physics , nonlinear system , materials science , quantum mechanics , evolutionary biology , composite material , biology , programming language
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.