E-mail
Phone
Office
EA535
Address
17. listopadu 2172/15, 708 00 Ostrava - Poruba
Map
WWW
doc. Ing. Dalibor Lukáš, Ph.D.
Function
Academic Staff Member
(470 - Department of Applied Mathematics)
Faculty/Centre
FEI - Faculty of Electrical Engineering and Computer Science
Profile URL
Contact
Function
External Member of
Union of the Czech Mathematicians and Physisists
Czech Mathematical Society
EU-MATHS-IN.CZ
Czech Mathematical Society
EU-MATHS-IN.CZ
Academic position
associated professor
Education
Academic degree
Ph.D. (2003) in Informatics and Applied Mathematics, VSB-TU Ostrava
Habilitation
associated professor in 2011 in Applied Mathematics, VSB-TU Ostrava
Research Interests
optimization (shape, topology, optimal control) for partial differential equations, computational electromagnetism, finite element methods, multigrid methods, parallel fast boundary element methods, domain decomposition methods
Teaching
Coordinating Degree Programmes
Coordinating Subjects
Lecturer of
Lecturer of
Theses
Other activities
Selected Publications
Projects
Projects - co-solver
Science & research in VSB-TUO Database
Selected Publications
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.