Ivan Hlaváček, Jan Chleboun (1996)
Applications of Mathematics
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A new postprocessing technique suitable for nonuniform triangulations is employed in the sensitivity analysis of some model optimal shape design problems.
Pierre Béal, Jonas Koko, Rachid Touzani (2002)
International Journal of Applied Mathematics and Computer Science
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We present a mesh adaptation method by node movement for two-dimensional linear elasticity problems with unilateral contact. The adaptation is based on a hierarchical estimator on finite element edges and the node displacement techniques use an analogy of the mesh topology with a spring network. We show, through numerical examples, the efficiency of the present adaptation method.
Jaroslav Haslinger, Pekka Neittaanmäki, Timo Tiihonen (1986)
Aplikace matematiky
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The paper deals with the approximation of optimal shape of elastic bodies, unilaterally supported by a rigid, frictionless foundation. Original state inequality, describing the behaviour of such a body is replaced by a family of penalized state problems. The relation between optimal shapes for the original state inequality and those for penalized state equations is established.