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Numerical Modelling of Semi-Coercive Beam Problem with Unilateral Elastic Subsoil of Winkler's Type
- 1.0343006 - ÚGN 2011 RIV CZ eng J - Journal Article
Sysala, Stanislav
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. E-ISSN 1572-9109
R&D Projects: GA AV ČR 1ET400300415
Institutional research plan: CEZ:AV0Z30860518
Keywords : non-linear subsoil of Winkler's type * semi-coercive beam problem * iterative methods
Subject RIV: BA - General Mathematics
Impact factor: 0.390, year: 2010
http://www.springerlink.com/content/n6640v615l762324/
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.
Permanent Link: http://hdl.handle.net/11104/0185590
Number of the records: 1