Publications of Jan Heiland

Baumann, M., Benner, P., & Heiland, J. (2018)Space-time Galerkin POD with Application in Optimal Control of Semi-Linear Parabolic Partial Differential EquationsSIAM Journal on Scientific Computing, 40 (3), A1611–A1641doi: 10.1137/17M1135281.

Benner, P. & Heiland, J. (2018)Exponential Stability and Stabilization of Extended Linearizations via Continuous Updates of Riccati Based FeedbackInternational Journal of Robust and Nonlinear Control, 28 (4), 1218–1232doi: 10.1002/rnc.3949.

Ahmad, M. I., Benner, P., Goyal, P. K., & Heiland, J. (2017)Moment-Matching Based Model Reduction for Navier–Stokes Type Quadratic-Bilinear Descriptor SystemsZeitschrift für Angewandte Mathematik und Mechanik, 97 (10), 1252–1267doi: 10.1002/zamm.201500262.

Altmann, R. & Heiland, J. (2017)Simulation of Multibody Systems With Servo Constraints Through Optimal ControlMultibody System Dynamics, 40 (1), 75–98doi: 10.1007/s11044-016-9558-z.

Fehr, J., Heiland, J., Himpe, C., & Saak, J. (2016)Best Practices for Replicability, Reproducibility and Reusability of Computer-based Experiments exemplified by Model Reduction SoftwareAIMS Mathematics, 1 (3), 261–281doi: 10.3934/Math.2016.3.261.

Heiland, J. (2016)A Differential-Algebraic Riccati Equation for Applications in Flow ControlSIAM Journal on Control and Optimization, 54 (2), 718–739doi: 10.1137/151004963.

Altmann, R. & Heiland, J. (2015)Finite Element Decomposition and Minimal Extension for Flow EquationsESAIM: Mathematical Modelling and Numerical Analysis, 49 (5), 1489–1509doi: 10.1051/m2an/2015029.

Benner, P. & Heiland, J. (2015)Time-dependent Dirichlet Conditions in Finite Element DiscretizationsScienceOpen Research, 1–18doi: 10.14293/S2199-1006.1.SOR-MATH.AV2JW3.v1 .

Altmann, R. & Heiland, J. (2019)Continuous, Semi-discrete, and Fully Discretized Navier-Stokes EquationsApplications of Differential-Algebraic Equations: Examples and Benchmarks277–312Cham, Switzerland: Springerdoi: 10.1007/11221_2018_2.

Baumann, M., Heiland, J., & Schmidt, M. (2015)Discrete Input/Output Maps and their Relation to Proper Orthogonal DecompositionNumerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory585–608Cham: Springer International Publishingdoi: 10.1007/978-3-319-15260-8_21.

Benner, P. & Heiland, J. (2015)LQG-Balanced Truncation Low-Order Controller for Stabilization of Laminar FlowsActive Flow and Combustion Control 2014365–379Cham: Springer International Publishingdoi: 10.1007/978-3-319-11967-0_22.

Das, A. & Heiland, J. (2024)Low-order Linear Parameter Varying Approximations for Nonlinear Controller Design for FlowsIn: 2024 European Control Conference (ECC), 2065–2070doi: 10.23919/ECC64448.2024.10591292.

Heiland, J. & Gosea, I. V. (2024)Implicit and Explicit Matching of Non-Proper Transfer Functions in the Loewner FrameworkIn: 2024 European Control Conference (ECC), 3452–3457doi: 10.23919/ECC64448.2024.10590815.

Benner, P., Goyal, P. K., Heiland, J., & Pontes Duff, I. (2023)A Quadratic Decoder Approach to Nonintrusive Reduced-Order Modeling of Nonlinear Dynamical SystemsIn: Proceedings in Applied Mathematics and Mechanics, e202200049doi: 10.1002/pamm.202200049.

Veluvali, P., Heiland, J., & Benner, P. (2023)MaRDIFlow: A Workflow Framework for Documentation and Integration of FAIR Computational ExperimentsIn: 1st Conference on Research Data Infrastructure (CoRDI) Connecting CommunitiesKarlsruhe (Germany), 12 -14 September 2023, 572doi: 10.52825/cordi.v1i.323.

Heiland, J. & Kim, Y. (2022)Convolutional Autoencoders and Clustering for Low-dimensional Parametrization of Incompressible FlowsIn: IFAC-PapersOnLine, 430–435doi: 10.1016/j.ifacol.2022.11.091.

Bremer, J., Heiland, J., Benner, P., & Sundmacher, K. (2021)Non-intrusive Time Galerkin POD for Optimal Control of a Fixed-Bed Reactor for CO₂ MethanationIn: IFAC-PapersOnLine, 122–127doi: 10.1016/j.ifacol.2021.08.229.

Benner, P. & Heiland, J. (2020)Equivalence of Riccati-based Robust Controller Design for Index-1 Descriptor Systems and Standard Plants with FeedthroughIn: 2020 European Control Conference (ECC), 402–407doi: 10.23919/ECC51009.2020.9143771.

Bhawal, C., Heiland, J., & Benner, P. (2020)PD Controllers to solve Single-Input, Index-1 DAE based LQR ProblemsIn: 2020 European Control Conference (ECC), 1795–1800doi: 10.23919/ECC51009.2020.9143633.