Publikační činnost Katedry matematiky a deskriptivní geometrie / Publications of Department of Mathematics and Descriptive Geometry (714) http://hdl.handle.net/10084/64639 Kolekce obsahuje bibliografické záznamy publikační činnosti (článků) akademických pracovníků Katedry matematiky a deskriptivní geometrie (714) v časopisech registrovaných ve Web of Science od roku 2003 po současnost. 2021-12-02T21:51:07Z 2n-cyclic blended labeling of graphs http://hdl.handle.net/10084/60685 2n-cyclic blended labeling of graphs Fronček, Dalibor; Kovářová, Tereza 2007-01-01T00:00:00Z A domain decomposition algorithm for contact problems: Analysis and implementation http://hdl.handle.net/10084/125343 A domain decomposition algorithm for contact problems: Analysis and implementation Haslinger, Jaroslav; Kučera, Radek; Sassi, T. The paper deals with an iterative method for numerical solving frictionless contact problems for two elastic bodies. Each iterative step consists of a Dirichlet problem for the one body, a contact problem for the other one and two Neumann problems to coordinate contact stresses. Convergence is proved by the Banach fixed point theorem in both continuous and discrete case. Numerical experiments indicate scalability of the algorithm for some choices of the relaxation parameter. 2009-01-01T00:00:00Z An algorithm for the numerical realization of 3D contact problems with Coulomb friction http://hdl.handle.net/10084/57077 An algorithm for the numerical realization of 3D contact problems with Coulomb friction Haslinger, Jaroslav; Kučera, Radek; Dostál, Zdeněk This contribution deals with the numerical realization of static contact problems with Coulomb friction for three-dimensional elastic bodies. We first introduce auxiliary contact problems with given friction which define a mapping Φ associating with a given slip bound the normal contact stress in the equilibrium state. Solutions to contact problems with Coulomb friction are defined as fixed points of Φ and are computed by using the method of successive approximations. The mathematical model of contact problems with given friction leads to a variational inequality of the second kind. Its discretization is based on the so-called reciprocal variational formulation, i.e., the formulation in terms of the normal and tangential components of stresses on the contact boundary. Unlike the two-dimensional case, constraints imposed on the tangential components of contact stresses are quadratic. The main goal of this contribution is to show how to solve this problem by using existing fast algorithms for simple (box) constraints. Numerical experiments for several variants of our algorithm will be shown and compared. 2004-01-01T00:00:00Z Approximation and numerical realization of 3D contact problems with Coulomb friction and a solution-dependent coefficient of friction http://hdl.handle.net/10084/78303 Approximation and numerical realization of 3D contact problems with Coulomb friction and a solution-dependent coefficient of friction Ligurský, Tomáš; Haslinger, Jaroslav; Kučera, Radek 2010-01-01T00:00:00Z