Publications of Peter Benner
All genres
Journal Article (315)
2015
Journal Article
, Saak, J., Benner, P., , , & (2015)Towards the Identification of Heat Induction in Chip Removing Processes via an Optimal Control ApproachProduction Engineering: Development & Research, 9 (3), 343–349doi: 10.1007/s11740-015-0608-9.
Journal Article
Mangold, M., Feng, L., Khlopov, D., , Benner, P., Binev, D., & Seidel-Morgenstern, A. (2015)Nonlinear model reduction of a continuous fluidized bed crystallizerJournal of Computational and Applied Mathematics, 289, 253–266doi: 10.1016/j.cam.2015.01.028.
Journal Article
Yücel, H. & Benner, P. (2015)Adaptive Discontinuous Galerkin Methods for State Constrained Optimal Control Problems Governed by Convection Diffusion EquationsComputational Optimization and Applications, 62 (1), 291–321doi: 10.1007/s10589-014-9691-7.
Journal Article
Yücel, H., Stoll, M., & Benner, P. (2015)A Discontinuous Galerkin Method for Optimal Control Problems Governed by a System of Convection-Diffusion PDEs with Nonlinear Reaction TermsComputers and Mathematics with Applications, 70 (10), 2414–2431doi: 10.1016/j.camwa.2015.09.006.
Journal Article
Zhang, Y., Feng, L., Li, S., & Benner, P. (2015)Accelerating PDE Constrained Optimization by the Reduced Basis Method: Application to Batch ChromatographyInternational Journal for Numerical Methods in Engineering, 104 (11), 983–1007doi: 10.1002/nme.4950.
Journal Article
Zhang, Y., Feng, L., Li, S., & Benner, P. (2015)An Efficient Output Error Estimation for Model Order Reduction of Parametrized Evolution EquationsSIAM Journal on Scientific Computing, 37 (6), B910–B936doi: 10.1137/140998603.
2014
Journal Article
Baur, U., Benner, P., & Feng, L. (2014)Model Order Reduction for Linear and Nonlinear Systems: A System-Theoretic PerspectiveArchives of Computational Methods in Engineering, 21 (4), 331–358doi: 10.1007/s11831-014-9111-2.
Journal Article
Benner, P. & Breiten, T. (2014)On Optimality of Approximate Low-Rank Solutions of Large-Scale Matrix EquationsSystems & Control Letters, 67, 55–64doi: 10.1016/j.sysconle.2014.02.005.
Journal Article
Benner, P. & Breiten, T. (2014)Rational Interpolation Methods for Symmetric Sylvester EquationsElectronic Transactions on Numerical Analysis, 42, 147–164doi: 10.17617/2.2060858.
Journal Article
Benner, P., , & (2014)On the Squared Smith Method for Large-Scale Stein EquationsNumerical Linear Algebra with Applications, 21 (5), 645–665doi: 10.1002/nla.1918.
Journal Article
Benner, P., , , & Remón, A. (2014)Trading Off Performance for Energy in Linear Algebra Operations with Applications in Control TheoryCLEI Electronic Journal, 17 (1), 3, 12 pagesdoi: 10.19153/cleiej.17.1.3 .
Journal Article
Benner, P., , , & Remón, A. (2014)A Factored Variant of the Newton Iteration for the Solution of Algebraic Riccati Equations via the Matrix Sign FunctionNumerical Algorithms, 66 (2), 363–377doi: 10.1007/s11075-013-9739-2.
Journal Article
Benner, P., Hossain, M.-S., & (2014)Low-Rank Iterative Methods of Periodic Projected Lyapunov Equations and their Application in Model Reduction of Periodic Descriptor SystemsNumerical Algorithms, 67 (3), 669–690doi: 10.1007/s11075-013-9816-6.
Journal Article
Benner, P. & Kürschner, P. (2014)Computing Real Low-Rank Solutions of Sylvester Equations by the Factored ADI MethodComputers and Mathematics with Applications, 67 (9), 1656–1672doi: 10.1016/j.camwa.2014.03.004.
Journal Article
Benner, P., Kürschner, P., & Saak, J. (2014)Self-Generating and Efficient Shift Parameters in ADI Methods for Large Lyapunov and Sylvester EquationsElectronic Transactions on Numerical Analysis, 43, 142–162doi: 10.17617/2.2071065.
Journal Article
Benner, P., Saak, J., , , & (2014)A Non-Conforming Composite Quadrilateral Finite Element Pair for Feedback Stabilization of the Stokes EquationsJournal of Numerical Mathematics, 22 (3), 191–220doi: 10.1515/jnma-2014-0009.
Journal Article
Benner, P. & (2014)Numerical Solution of Projected Algebraic Riccati EquationsSIAM Journal on Numerical Analysis, 52 (2), 581–600doi: 10.1137/130923993.
Journal Article
Benner, P. & Voigt, M. (2014)A Structured Pseudospectral Method for H∞-Norm Computation of Large-Scale Descriptor SystemsMathematics of Control, Signals, and Systems, 26 (2), 303–338doi: 10.1007/s00498-013-0121-7.
Journal Article
Bosch, J., Stoll, M., & Benner, P. (2014)Fast solution of Cahn-Hilliard variational inequalities using implicit time discretization and finite elementsJournal of Computational Physics, 262, 38–57doi: 10.1016/j.jcp.2013.12.053.
Journal Article
Hess, M. W. & Benner, P. (2014)A Reduced Basis Method for Microwave Semiconductor Devices with Geometric VariationsCOMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 33 (4), 1071–1081doi: 10.1108/COMPEL-12-2012-0377.