E-mail
Telefon
Místnost
EA535
Adresa
17. listopadu 2172/15, 708 00 Ostrava - Poruba
Mapa
WWW
doc. Ing. Dalibor Lukáš, Ph.D.
Funkce
Docent
(470 - Katedra aplikované matematiky)
Fakulta nebo úsek
FEI - Fakulta elektrotechniky a informatiky
Adresa profilu
Kontakt
Funkce
Členství v organizacích
Jednota českých matematiků a fyziků
Česká matematická společnost
EU-MATHS-IN.CZ
Česká matematická společnost
EU-MATHS-IN.CZ
Akademická funkce
docent
Vzdělání
Vědecká hodnost
Ph.D. (2003) obor "Informatika a aplikovaná matematika", Vysoká škola báňská v Ostravě.
Vzdělání
Ing. (1999) obor "Inženýrská informatika a aplikovaná matematika", Vysoká škola báňská v Ostravě.
maturita (1994) obor "Automatizační technika", SPŠ elektrotechnická v Havířově.
maturita (1994) obor "Automatizační technika", SPŠ elektrotechnická v Havířově.
Habilitace
Doc. (2011) obor "Aplikovaná matematika", Vysoká škola báňská v Ostravě.
Oblast vědeckého zájmu
optimization (shape, topology, optimal control) for partial differential equations, computational electromagnetism, finite element methods, multigrid methods, parallel fast boundary element methods, domain decomposition methods
Pedagogická činnost
Garant studijních programů
Garant předmětů
Vyučující předmětů
Cvičící předmětů
Závěrečné práce
Ostatní odborná činnost
Významné publikace
Řešené projekty
Řešené projekty - spoluřešitel
Vědeckovýzkumné výstupy z evidence VŠB-TUO
Učební texty
Matematické modelování elektromagnetických polí
http://mi21.vsb.cz
http://mi21.vsb.cz
Významné publikace
D. Lukas, G. Of, J. Zapletal, and J. Bouchala, A boundary element method for homogenization of periodic structures, submitted.
D. Lukas, J. Schoeberl, and L. Maly, Dispersion analysis of displacement-based and TDNNS mixed finite elements for thin-walled elastodynamics, submitted.
O. Axelsson and D. Lukas, Preconditioning methods for eddy-current optimally controlled time-harmonic electromagnetic problems, Journal of Numerical Mathematics (IF 0.405), accepted.
D. Lukas, P. Kacor, L. Ivanek, V. Mach, and C. Scheffler, Coupling of finite and boundary elements for transient eddy current problems, Advances in Electrical and Electronic Engineering, vol. 15, nr. 2, pp. 280-285, 2017.
E. Strakova, D. Lukas, and P. Vodstrcil, Finding zeros of analytic functions and local eigenvalue analysis using contour integral method in examples, Advances in Electrical and Electronic Engineering, vol. 15, nr. 2, pp. 286-295, 2017.
A. Veit, M. Merta, J. Zapletal, and D. Lukas, Efficient solution of time-domain boundary integral equations arising in sound-hard scattering, International Journal for Numerical Methods in Engineering (IF 2.1), vol. 107, nr. 5, pp. 430-449, 2016.
D. Lukas, J. Bouchala, P. Vodstrcil, and L. Maly, 2-Dimensional Primal Domain Decomposition Theory in Detail, Application of Mathematics (IF 0.222), vol. 60, nr. 3, pp. 265-283, 2015.
D. Lukas, P. Kovar, T. Kovarova, and M. Merta A Parallel Fast Boundary Element Method Using Cyclic Graph Decompositions, Numerical Algorithms (IF 1.128), vol. 70, nr. 4, pp. 807-824, 2015.
D. Lukas, K. Postava, and O. Zivotsky, A Shape Optimization Method for Nonlinear Axisymmetric Magnetostatics Using a Coupling of Finite and Boundary Elements, Mathematics and Computers in Simulation (IF 0.738), vol. 82, nr. 10, pp. 1721-1731, 2012.
D. Lukas and Z. Dostal, Optimal Multigrid Preconditioned Semi-Monotonic Augmented Lagrangians Applied to the Stokes Problem, Numerical Linear Algebra with Applications (IF 0.822), vol. 14, nr. 9, pp. 741-750, 2007.
D. Lukas and P. Chalmoviansky, A Sequential Coupling of Optimal Toplogy and Multilevel Shape Design Applied to 2-Dimensional Nonlinear Magnetostatics, Computing and Visualization in Science, vol. 10, nr. 3, pp. 135-144, 2007.
D. Lukas, On Solution to an Optimal Shape Design Problem in 3-Dimensional Linear Magnetostatics, Applications of Mathematics (IF 0.41), vol. 49, nr. 5, pp. 441-464, 2004.
D. Lukas, J. Schoeberl, and L. Maly, Dispersion analysis of displacement-based and TDNNS mixed finite elements for thin-walled elastodynamics, submitted.
O. Axelsson and D. Lukas, Preconditioning methods for eddy-current optimally controlled time-harmonic electromagnetic problems, Journal of Numerical Mathematics (IF 0.405), accepted.
D. Lukas, P. Kacor, L. Ivanek, V. Mach, and C. Scheffler, Coupling of finite and boundary elements for transient eddy current problems, Advances in Electrical and Electronic Engineering, vol. 15, nr. 2, pp. 280-285, 2017.
E. Strakova, D. Lukas, and P. Vodstrcil, Finding zeros of analytic functions and local eigenvalue analysis using contour integral method in examples, Advances in Electrical and Electronic Engineering, vol. 15, nr. 2, pp. 286-295, 2017.
A. Veit, M. Merta, J. Zapletal, and D. Lukas, Efficient solution of time-domain boundary integral equations arising in sound-hard scattering, International Journal for Numerical Methods in Engineering (IF 2.1), vol. 107, nr. 5, pp. 430-449, 2016.
D. Lukas, J. Bouchala, P. Vodstrcil, and L. Maly, 2-Dimensional Primal Domain Decomposition Theory in Detail, Application of Mathematics (IF 0.222), vol. 60, nr. 3, pp. 265-283, 2015.
D. Lukas, P. Kovar, T. Kovarova, and M. Merta A Parallel Fast Boundary Element Method Using Cyclic Graph Decompositions, Numerical Algorithms (IF 1.128), vol. 70, nr. 4, pp. 807-824, 2015.
D. Lukas, K. Postava, and O. Zivotsky, A Shape Optimization Method for Nonlinear Axisymmetric Magnetostatics Using a Coupling of Finite and Boundary Elements, Mathematics and Computers in Simulation (IF 0.738), vol. 82, nr. 10, pp. 1721-1731, 2012.
D. Lukas and Z. Dostal, Optimal Multigrid Preconditioned Semi-Monotonic Augmented Lagrangians Applied to the Stokes Problem, Numerical Linear Algebra with Applications (IF 0.822), vol. 14, nr. 9, pp. 741-750, 2007.
D. Lukas and P. Chalmoviansky, A Sequential Coupling of Optimal Toplogy and Multilevel Shape Design Applied to 2-Dimensional Nonlinear Magnetostatics, Computing and Visualization in Science, vol. 10, nr. 3, pp. 135-144, 2007.
D. Lukas, On Solution to an Optimal Shape Design Problem in 3-Dimensional Linear Magnetostatics, Applications of Mathematics (IF 0.41), vol. 49, nr. 5, pp. 441-464, 2004.