Publications of Peter Benner

Hess, M. W.; Grundel, S.; Benner, P.: Estimating the Inf-Sup Constant in Reduced Basis Methods for Time-Harmonic Maxwell's Equations. IEEE Transactions on Microwave Theory and Techniques 63 (11), pp. 3549 - 3557 (2015)

Lang, N.; Saak, J.; Benner, P.; Ihlenfeldt, S.; Nestmann, S.; Schädlich, K.: Towards the Identification of Heat Induction in Chip Removing Processes via an Optimal Control Approach. Production Engineering: Development & Research 9 (3), pp. 343 - 349 (2015)

Mangold, M.; Feng, L.; Khlopov, D.; Palis, S.; Benner, P.; Binev, D.; Seidel-Morgenstern, A.: Nonlinear model reduction of a continuous fluidized bed crystallizer. Journal of Computational and Applied Mathematics 289, pp. 253 - 266 (2015)

Yücel, H.; Benner, P.: Adaptive Discontinuous Galerkin Methods for State Constrained Optimal Control Problems Governed by Convection Diffusion Equations. Computational Optimization and Applications 62 (1), pp. 291 - 321 (2015)

Yücel, H.; Stoll, M.; Benner, P.: A Discontinuous Galerkin Method for Optimal Control Problems Governed by a System of Convection-Diffusion PDEs with Nonlinear Reaction Terms. Computers and Mathematics with Applications 70 (10), pp. 2414 - 2431 (2015)

Zhang, Y.; Feng, L.; Li, S.; Benner, P.: Accelerating PDE Constrained Optimization by the Reduced Basis Method: Application to Batch Chromatography. International Journal for Numerical Methods in Engineering 104 (11), pp. 983 - 1007 (2015)

Zhang, Y.; Feng, L.; Li, S.; Benner, P.: An Efficient Output Error Estimation for Model Order Reduction of Parametrized Evolution Equations. SIAM Journal on Scientific Computing 37 (6), pp. B910 - B936 (2015)

Baur, U.; Benner, P.; Feng, L.: Model Order Reduction for Linear and Nonlinear Systems: A System-Theoretic Perspective. Archives of Computational Methods in Engineering 21 (4), pp. 331 - 358 (2014)

Benner, P.; Breiten, T.: On Optimality of Approximate Low-Rank Solutions of Large-Scale Matrix Equations. Systems & Control Letters 67, pp. 55 - 64 (2014)

Benner, P.; Breiten, T.: Rational Interpolation Methods for Symmetric Sylvester Equations. Electronic Transactions on Numerical Analysis 42, pp. 147 - 164 (2014)

Benner, P.; El Khoury, G.; Sadkane, M.: On the Squared Smith Method for Large-Scale Stein Equations. Numerical Linear Algebra with Applications 21 (5), pp. 645 - 665 (2014)

Benner, P.; Ezzati, P.; Quintana-Ortí, E. S.; Remón, A.: Trading Off Performance for Energy in Linear Algebra Operations with Applications in Control Theory. CLEI Electronic Journal 17 (1), 3, 12 pages (2014)

Benner, P.; Ezzatti, P.; Quintana-Ortí, E. S.; Remón, A.: A Factored Variant of the Newton Iteration for the Solution of Algebraic Riccati Equations via the Matrix Sign Function. Numerical Algorithms 66 (2), pp. 363 - 377 (2014)

Benner, P.; Hossain, M.-S.; Stykel, T.: Low-Rank Iterative Methods of Periodic Projected Lyapunov Equations and their Application in Model Reduction of Periodic Descriptor Systems. Numerical Algorithms 67 (3), pp. 669 - 690 (2014)

Benner, P.; Kürschner, P.: Computing Real Low-Rank Solutions of Sylvester Equations by the Factored ADI Method. Computers and Mathematics with Applications 67 (9), pp. 1656 - 1672 (2014)

Benner, P.; Kürschner, P.; Saak, J.: Self-Generating and Efficient Shift Parameters in ADI Methods for Large Lyapunov and Sylvester Equations. Electronic Transactions on Numerical Analysis 43, pp. 142 - 162 (2014)

Benner, P.; Saak, J.; Schieweck, F.; Skrzypacz, P.; Weichelt, H. K.: A Non-Conforming Composite Quadrilateral Finite Element Pair for Feedback Stabilization of the Stokes Equations. Journal of Numerical Mathematics 22 (3), pp. 191 - 220 (2014)

Benner, P.; Stykel, T.: Numerical Solution of Projected Algebraic Riccati Equations. SIAM Journal on Numerical Analysis 52 (2), pp. 581 - 600 (2014)

Benner, P.; Voigt, M.: A Structured Pseudospectral Method for H_∞-Norm Computation of Large-Scale Descriptor Systems. Mathematics of Control, Signals, and Systems 26 (2), pp. 303 - 338 (2014)

Bosch, J.; Stoll, M.; Benner, P.: Fast solution of Cahn-Hilliard variational inequalities using implicit time discretization and finite elements. Journal of Computational Physics 262, pp. 38 - 57 (2014)