@misc{Myśliński_Andrzej_Structural_2015, author={Myśliński, Andrzej and Wróblewski, M.}, copyright={Creative Commons Attribution BY 4.0 license}, address={Warszawa}, journal={Raport Badawczy = Research Report}, howpublished={online}, year={2015}, publisher={Instytut Badań Systemowych. Polska Akademia Nauk}, publisher={Systems Research Institute. Polish Academy of Sciences}, language={eng}, abstract={The paper deals with the topology optimization of the elastic contact problems using the level set approach. A piecewise constant level set method is used to follow the evolution of design domain interfaces rather than the standard level set method. The piecewise constant level set function takes distinct constant values in each subdomain of a whole design domain. Using a two-phase approximation the original optimization problem is reformulated as an equivalent constrained optimization problem in terms of the piecewise constant level set function. Necessary optimality condition is formulated. Finite difference and finite element methods are applied as the approximation methods. Numerical examples are provided and discussed.}, title={Structural optimization of contact problems using piecewise constant level set method}, type={Text}, URL={http://www.rcin.org.pl/Content/144867/PDF/RB-2015-38.pdf}, keywords={Topology optimization, Optymalizacja topologii, Problem kontaktowy, Contact problem, Piecewise constant level set method, Metoda częściowego ustalania poziomu stałego}, }