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Publications

File DK Report 2009-01, S. Takacs and W. Zulehner
Multigrid Methods for Elliptic Optimal Control Problems with Neumann Boundary Control
File DK Report 2010-09, V. Pillwein and S. Takacs
Computing smoothing rates of collective point smoothers for optimal control problems using symbolic computation
File S. Takacs and W. Zulehner. Multigrid methods for elliptic optimal control problems with neumann boundary control.
In G. Kreiss, P. Lötstedt, A. Malqvist, and M. Neytcheva, editors, Numerical Mathematics and Advanced Applications 2009, pages 855-863. Springer Berlin Heidelberg, 2010.
File DK Report 2011-01, S. Takacs and W. Zulehner
Convergence Analysis of Multigrid Methods with Collective Point Smoothers for Optimal Control Problems
S. Takacs and W. Zulehner. Convergence analysis of multigrid methods with collective point smoothers for optimal control problems.
Computing and Visualization in Science 14(3), pp. 131-141. 2011.
File V. Pillwein and S. Takacs. Smoothing analysis of an all-at-once multigrid approach for optimal control problems using symbolic computation.
In U. Langer and P. Paule, editors. Numerical and Symbolic Scientific Computing: Progress and Prospects. Springer Wien, 2011.
File DK-Report 2012-04, V. Pillwein and S. Takacs
A local Fourier convergence analysis of a multigrid method using symbolic computation
File DK-Report 2012-08, S. Takacs and W. Zulehner
Convergence analysis of all-at-once multigrid methods for elliptic control problems under partial elliptic regularity
File S. Takacs. All-at-once Multigrid Methods for Optimality Systems Arising from Optimal Control Problems
PhD Thesis, submitted 2012. Examiners: Walter Zulehner, Andrew Wathen.
File S. Takacs and T. Takacs. Approximation Error Estimates and Inverse Inequalities for B-Splines of Maximum Smoothness.
In Mathematical Models and Methods in Applied Sciences, 26, 1411-1445, 2016, https://doi.org/10.1142/S0218202516500342
File DK-Report 2017-03, C. Hofer, U. Langer and S. Takacs
Inexact Dual-Primal Isogeometric Tearing and Interconnecting Methods
File C. Hofer, U. Langer and S. Takacs: Inexact Dual-Primal Isogeometric Tearing and Interconnecting Methods
In P.E. Bjrstad, S.C. Brenner, L. Halpern, H.H. Kim, R. Kornhuber, T. Rahman, and O.B. Widlund, editors, Domain Decomposition Methods in Science and Engineering XXIV, volume 125 of Lecture Notes in Computational Science and Engineering, pages 393–403, Cham, 2018. Springer International Publishing.
File DK Report 2018-07, C. Hofer, S. Takacs
A parallel multigrid solver for multi-patch Isogeometric Analysis
S. Kargaran, B. Jüttler, S.K. Kleiss, A. Mantzaflaris, T. Takacs: Overlapping multi-patch structures in isogeometric analysis.
Computer Methods in Applied Mechanics and Engineering. Vol. 356, 2019. pp. 325 -353. DOI: 10.1016/j.cma.2019.07.010