Publikationen von Peter Benner

Benner, P.; Richter, T.; Weinhandl, R.: A Low-rank Method for Parameter-dependent Fluid-structure Interaction Discretizations with Hyperelasticity. Zeitschrift für angewandte Mathematik und Mechanik 104 (10), e202300562 (2024)

Chellappa, S.; Feng, L.; Benner, P.: Accurate Error Estimation for Model Reduction of Nonlinear Dynamical Systems via Data-enhanced Error Closure. Computer Methods in Applied Mechanics and Engineering 420, 116712 (2024)

Feng, L.; Chellappa, S.; Benner, P.: A Posteriori Error Estimation for Model Order Reduction of Parametric Systems. Advanced Modeling and Simulation in Engineering Sciences 11, 5 (2024)

Gkimisis, L.; Richter, T.; Benner, P.: Adjacency-based, Non-Intrusive Model Reduction for Vortex-Induced Vibrations. Computers & Fluids 275, 106248 (2024)

Goyal, P. K.; Benner, P.: Generalized Quadratic-Embeddings for Nonlinear Dynamics using Deep Learning. Physica D: Nonlinear Phenomena 463, 134158 (2024)

Goyal, P. K.; Peherstorfer, B.; Benner, P.: Rank-Minimizing and Structured Model Inference. SIAM Journal on Scientific Computing 46 (3), S. A1879 - A1902 (2024)

Goyal, P. K.; Pontes Duff, I.; Benner, P.: Dominant Subspaces of High-Fidelity Polynomial Structured Parametric Dynamical Systems and Model Reduction. Advances in Computational Mathematics 50, 42 (2024)

Kapadia, H.; Feng, L.; Benner, P.: Active-Learning-Driven Surrogate Modeling for Efficient Simulation of Parametric Nonlinear Systems. Computer Methods in Applied Mechanics and Engineering 419, 116657 (2024)

Przybilla, J.; Pontes Duff, I.; Benner, P.: Model Reduction for Second-Order Systems with Inhomogeneous Initial Conditions. Systems & Control Letters 183, 105671 (2024)

Przybilla, J.; Pontes Duff, I.; Benner, P.: Semi-Active Damping Optimization of Vibrational Systems using the Reduced Basis Method. Advances in Computational Mathematics 50 (3), 56 (2024)

Sarna, N.; Giesselmann, J.; Benner, P.: Data-Driven Snapshot Calibration via Monotonic Feature Matching. Finite Elements in Analysis & Design 230, 104065 (2024)

Yevgenieva, Y.; Zuyev, A.; Benner, P.; Seidel-Morgenstern, A.: Periodic Optimal Control of a Plug Flow Reactor Model with an Isoperimetric Constraint. Journal of Optimization Theory and Applications 202, S. 582 - 604 (2024)

Yildiz, S.; Goyal, P. K.; Bendokat, T.; Benner, P.: Data-Driven Identification of Quadratic Representations for Nonlinear Hamiltonian Systems using Weakly Symplectic Liftings. Journal of Machine Learning for Modeling and Computing 5 (2), S. 45 - 71 (2024)

Zuyev, A.; Feng, L.; Benner, P.: Estimates of the Kolmogorov n-Width for Nonlinear Transformations with Application to Distributed-Parameter Control Systems. IEEE Control Systems Letters 8, S. 1877 - 1882 (2024)

Benner, P.; Chuiko, S.; Nesmelova, O.: Least Squares Method in the Theory of Nonlinear Boundary-Value Problems unsolved with Respect to the Derivative. Ukrainian Mathematical Journal 75, S. 40 - 55 (2023)

Benner, P.; Chuiko, S.; Zuyev, A.: A Periodic Boundary Value Problem with Switchings under Nonlinear Perturbations. Boundary Value Problems, 50, 12 pages (2023)

Benner, P.; Chuiko, S.; Zuyev, A.: Iterative Schemes for Periodic Boundary Value Problems with Switchings. Nonlinear Oscillations 26 (1), S. 6 - 21 (2023)

Benner, P.; Gugercin, S.; Werner, S. W. R.: A Unifying Framework for Tangential Interpolation of Structured Bilinear Control Systems. Numerische Mathematik 155, S. 445 - 483 (2023)

Benner, P.; Heiland, J.: Space and Chaos-Expansion Galerkin Proper Orthogonal Decomposition Low-order Discretization of PDEs for Uncertainty Quantification. International Journal for Numerical Methods in Engineering 124 (12), S. 2801 - 2817 (2023)

Benner, P.; Heiland, J.; Werner, S. W. R.: A Low-Rank Solution Method for Riccati Equations with Indefinite Quadratic Terms. Numerical Algorithms 92, S. 1083 - 1103 (2023)