Počet záznamů: 1
Numerical Modelling of Semi-Coercive Beam Problem with Unilateral Elastic Subsoil of Winkler's Type
0343006 - UGN-S 2011 RIV CZ eng J - Článek v odborném periodiku
Numerical Modelling of Semi-Coercive Beam Problem with Unilateral Elastic Subsoil of Winkler's Type.
Applications of Mathematics. Roč. 55, č. 2 (2010), s. 151-187 ISSN 0862-7940
Grant CEP: GA AV ČR 1ET400300415
Výzkumný záměr: CEZ:AV0Z30860518
Klíčová slova: non-linear subsoil of Winkler's type * semi-coercive beam problem * iterative methods
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.390, rok: 2010
A non-linear semi-coercive beam problem is solved in this article. Suitable numerical methods are presented and their uniform convergence properties with respect to the finite element discretization parameter are proved here. The methods are based on the minimisation of a total energy functional, where the descent directions of the functional are searched by solving the linear problems with a beam on bilateral elastic ``springs". The influence of external loads on the convergence properties is also investigated. The effectiveness of the algorithms is illustrated on numerical examples.
Trvalý link: http://hdl.handle.net/11104/0185590