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Journal Article (12)

2019
Journal Article
Behr, M.; Benner, P.; Heiland, J.: Solution Formulas for Differential Sylvester and Lyapunov Equations. CALCOLO: A Quarterly on Numerical Analysis and Theory of Computation 56 (4), 51 (2019)
Journal Article
Wahl, H.; Richter, T.; Lehrenfeld, C.; Heiland, J.; Minakowski, P.: Numerical Benchmarking of Fluid-Rigid Body Interactions. Computers and Fluids 193, 104290 (2019)
2018
Journal Article
Altmann, R.; Heiland, J.: Regularization and Rothe Discretization of Semi-Explicit Operator DAEs. International Journal of Numerical Analysis and Modeling 15 (3), pp. 452 - 478 (2018)
Journal Article
Baran, B.; Benner, P.; Heiland, J.; Saak, J.: Optimal Control of a Stefan Problem Fully Coupled with Incompressible Navier-Stokes-Equations and Mesh Movement. Analele Stiintifice ale Universitatii Ovidius Constanta - Seria Matematica 26 (2), pp. 11 - 40 (2018)
Journal Article
Baumann, M.; Benner, P.; Heiland, J.: Space-time Galerkin POD with Application in Optimal Control of Semi-Linear Parabolic Partial Differential Equations. SIAM Journal on Scientific Computing 40 (3), pp. A1611 - A1641 (2018)
Journal Article
Benner, P.; Heiland, J.: Exponential Stability and Stabilization of Extended Linearizations via Continuous Updates of Riccati Based Feedback. International Journal of Robust and Nonlinear Control 28 (4), pp. 1218 - 1232 (2018)
2017
Journal Article
Ahmad, M. I.; Benner, P.; Goyal, P. K.; Heiland, J.: Moment-Matching Based Model Reduction for Navier–Stokes Type Quadratic-Bilinear Descriptor Systems. Zeitschrift für Angewandte Mathematik und Mechanik 97 (10), pp. 1252 - 1267 (2017)
Journal Article
Altmann, R.; Heiland, J.: Simulation of Multibody Systems With Servo Constraints Through Optimal Control. Multibody System Dynamics 40 (1), pp. 75 - 98 (2017)
2016
Journal Article
Fehr, J.; Heiland, J.; Himpe, C.; Saak, J.: Best Practices for Replicability, Reproducibility and Reusability of Computer-based Experiments exemplified by Model Reduction Software. AIMS Mathematics 1 (3), pp. 261 - 281 (2016)
Journal Article
Heiland, J.: A Differential-Algebraic Riccati Equation for Applications in Flow Control. SIAM Journal on Control and Optimization 54 (2), pp. 718 - 739 (2016)
2015
Journal Article
Altmann, R.; Heiland, J.: Finite Element Decomposition and Minimal Extension for Flow Equations. ESAIM: Mathematical Modelling and Numerical Analysis 49 (5), pp. 1489 - 1509 (2015)
Journal Article
Benner, P.; Heiland, J.: Time-dependent Dirichlet Conditions in Finite Element Discretizations. ScienceOpen Research, pp. 1 - 18 (2015)

Book Chapter (3)

2019
Book Chapter
Altmann, R.; Heiland, J.: Continuous, Semi-discrete, and Fully Discretized Navier-Stokes Equations. In: Applications of Differential-Algebraic Equations: Examples and Benchmarks, pp. 277 - 312. Springer, Cham, Switzerland (2019)
2015
Book Chapter
Baumann, M.; Heiland, J.; Schmidt, M.: Discrete Input/Output Maps and their Relation to Proper Orthogonal Decomposition. In: Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory, pp. 585 - 608 (Eds. Benner, P.; Bollhöfer, M.; Kressner, D.; Mehl, C.; Stykel, T.). Springer International Publishing, Cham (2015)
Book Chapter
Benner, P.; Heiland, J.: LQG-Balanced Truncation Low-Order Controller for Stabilization of Laminar Flows. In: Active Flow and Combustion Control 2014, pp. 365 - 379 (Ed. King, R.). Springer International Publishing, Cham (2015)

Conference Paper (9)

2020
Conference Paper
Benner, P.; Heiland, J.: Equivalence of Riccati-based Robust Controller Design for Index-1 Descriptor Systems and Standard Plants with Feedthrough. In: 2020 European Control Conference (ECC), pp. 402 - 407. 2020 European Control Conference (ECC), Saint Petersburg, Russia, May 12, 2020 - May 15, 2020. IEEE (2020)
Conference Paper
Bhawal, C.; Benner, P.; Heiland, J.: PD Controllers to solve Single-Input, Index-1 DAE based LQR Problems. In: 2020 European Control Conference (ECC), pp. 1795 - 1800. 2020 European Control Conference (ECC), Saint Petersburg, Russia, May 12, 2020 - May 15, 2020. IEEE (2020)
2019
Conference Paper
Benner, P.; Heiland, J.; Werner, S. W. R.: Robust Controller versus Numerical Model Uncertainties for Stabilization of Navier-Stokes Equations. 3rd IFAC Workshop on Control of Systems Governed by Partial Differential Equations, Oaxaca, Mexico, May 20, 2019 - May 24, 2019. IFAC-PapersOnLine 52 (2), pp. 25 - 29 (2019)
2018
Conference Paper
Behr, M.; Benner, P.; Heiland, J.: On an Invariance Principle for the Solution Space of the Differential Riccati Equation. 89th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Munich, Germany, March 19, 2018 - March 23, 2018. Proceedings in Applied Mathematics and Mechanics 18 (1), pp. 1 - 2 (2018)
2017
Conference Paper
Baran, B.; Benner, P.; Heiland, J.; Saak, J.: Towards Riccati-Feedback Control of Complex Flows with Moving Interfaces. 88th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Weimar, Germany, March 06, 2017 - March 10, 2017. Proceedings in Applied Mathematics and Mechanics 17 (1), pp. 769 - 770 (2017)
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