Publications

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Journal Article (10)

  1. 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)
  2. 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)
  3. 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)
  4. 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)
  5. 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)
  6. 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)
  7. 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)
  8. 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)
  9. 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)
  10. Journal Article
    Benner, P.; Heiland, J.: Time-dependent Dirichlet Conditions in Finite Element Discretizations. ScienceOpen Research, pp. 1 - 18 (2015)

Book Chapter (3)

  1. 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 (accepted)
  2. 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)
  3. 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 (6)

  1. 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)
  2. 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)
  3. Conference Paper
    Benner, P.; Heiland, J.: Nonlinear Feedback Stabilization of Incompressible Flows via Updated Riccati-based Gains. In: 2017 IEEE 56th Annual Conference on Decision and Control (CDC), pp. 1163 - 1168. 2017 IEEE 56th Annual Conference on Decision and Control (CDC), Melbourne, Australia, December 12, 2017 - December 15, 2017. (2017)
  4. Conference Paper
    Benner, P.; Heiland, J.: Convergence of Approximations to Riccati-based Boundary-feedback Stabilization of Laminar Flows. IFAC World Congress 2017, Toulouse, France, July 09, 2017 - July 14, 2017. IFAC-PapersOnLine 50 (1), pp. 12296 - 12300 (2017)
  5. 2016
    Conference Paper
    Baran, B.; Heiland, J.: Adjoint-Based Optimal Boundary Control of a Stefan Problem System Fully Coupled with Navier-Stokes Equations. Joint 87th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and Deutsche Mathematiker-Vereinigung (DMV), Braunschweig, March 07, 2016 - March 11, 2016. Proceedings in Applied Mathematics and Mechanics 16 (1), pp. 779 - 780 (2016)
  6. Conference Paper
    Benner, P.; Heiland, J.: Robust Stabilization of Laminar Flows in Varying Flow Regimes. 2nd IFAC Workshop on Control of Systems Governed by Partial Differential Equations, Bertinoro, Italy, June 13, 2016 - June 15, 2016. IFAC-PapersOnLine 49 (8), pp. 31 - 36 (2016)

Talk (1)

  1. 2015
    Talk
    Goyal, P. K.; Heiland, J.; Ahmad, M. I.; Benner, P.: Interpolary Model Reduction for Stokes-type Quadratic-Bilinear Systems. International Conference on Scientific Computation And Differential Equations 2015 (SciCADE 2015), Potsdam, Germany (2015)
 
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