A new approach for simultaneous shape and topology optimization based on dynamic implicit surface function
Jaroslav Haslinger, Josef Málek, Jan Stebel (2005)
Control and Cybernetics
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Displaying similar documents to “Shape optimization for Stokes problem with threshold slip”
A new approach for simultaneous shape and topology optimization based on dynamic implicit surface function
Optimal shape design in a fibre orientation model
Jan Stebel, Raino Mäkinen, Jukka I. Toivanen (2007)
Applications of Mathematics
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We study a 2D model of the orientation distribution of fibres in a paper machine headbox. The goal is to control the orientation of fibres at the outlet by shape variations. The mathematical formulation leads to an optimization problem with control in coefficients of a linear convection-diffusion equation as the state problem. Existence of solutions both to the state and the optimization problem is analyzed and sensitivity analysis is performed. Further, discretization is done and a...
Distortion mismatch in the quantization of probability measures
Siegfried Graf, Harald Luschgy, Gilles Pagès (2008)
ESAIM: Probability and Statistics
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We elucidate the asymptotics of the -quantization error induced by a sequence of -optimal -quantizers of a probability distribution on when . In particular we show that under natural assumptions, the optimal rate is preserved as long as (and for every in the case of a compactly supported distribution). We derive some applications of these results to the error bounds for quantization based cubature formulae in numerical integration on and on the Wiener space.