Optimization of a functionally graded circular plate with inner rigid thin obstacles. II. Approximate problems

0368735 - MÚ 2012 RIV DE eng J - Journal Article
Hlaváček, Ivan - Lovíšek, J.
Optimization of a functionally graded circular plate with inner rigid thin obstacles. II. Approximate problems.
ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik. Roč. 91, č. 12 (2011), s. 957-966. ISSN 0044-2267. E-ISSN 1521-4001
R&D Projects: GA AV ČR(CZ) IAA100190803
Institutional research plan: CEZ:AV0Z10190503
Keywords : control of elliptic variational inequalities * functionally graded plates * optimal design of plates * finite element approximations
Subject RIV: BA - General Mathematics
Impact factor: 0.863, year: 2011
http://onlinelibrary.wiley.com/doi/10.1002/zamm.201000238/abstract

Optimal design of a simply supported functionally graded axisymmetric circular plate resting on several inner rigid rings is presented in Part I. The variable thickness and the exponent of the power-law of the grading function are to be optimized. In Part II the approximate state problem and approximate optimal design problems are introduced, using spaces of linear and cubic Hermite splines, respectively. We prove the existence of approximate solutions and the convergence of a subsequence of the solutions to a solution of the original continuous optimal design problem.
Permanent Link: http://hdl.handle.net/11104/0202999