T
Tomáš Kozubek
Researcher at Technical University of Ostrava
Publications - 78
Citations - 864
Tomáš Kozubek is an academic researcher from Technical University of Ostrava. The author has contributed to research in topics: Domain decomposition methods & FETI. The author has an hindex of 16, co-authored 77 publications receiving 783 citations.
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A fictitious domain approach to the numerical solution of PDEs in stochastic domains
Claudio Canuto,Tomáš Kozubek +1 more
TL;DR: An efficient method for the numerical realization of elliptic PDEs in domains depending on random variables, using the combination of a fictitious domain approach and a polynomial chaos expansion is presented.
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Shape Optimization and Fictitious Domain Approach for Solving Free Boundary Problems of Bernoulli Type
TL;DR: This contribution deals with an efficient method for the numerical realization of the exterior and interior Bernoulli free boundary problems based on a shape optimization approach.
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Scalable TFETI algorithm for the solution of multibody contact problems of elasticity
TL;DR: A Total FETI (TFETI)‐based domain decomposition algorithm with preconditioning by a natural coarse grid of the rigid body motions is adapted to the solution of multibody contact problems of elasticity in 2D and 3D and proved to be scalable.
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Cholesky decomposition with fixing nodes to stable computation of a generalized inverse of the stiffness matrix of a floating structure
TL;DR: In this paper, a generalized inverse of the Schur complement of a nonsingular diagonal block of a positive-definite diagonal block A of a floating structure without mechanisms is proposed.
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A theoretically supported scalable TFETI algorithm for the solution of multibody 3D contact problems with friction
TL;DR: A Total FETI (TFETI) based domain decomposition algorithm with preconditioning by a natural coarse grid defined by the rigid body motions of subdomains is adapted to the solution of multibody contact problems with friction in 3D and proved to be scalable for Tresca friction.