Fast evaluation of time–harmonic Maxwell's equations using the reduced basis method MW Hess, P Benner IEEE Transactions on Microwave Theory and Techniques 61 (6), 2265-2274, 2013 | 98 | 2013 |
A localized reduced-order modeling approach for PDEs with bifurcating solutions M Hess, A Alla, A Quaini, G Rozza, M Gunzburger Computer Methods in Applied Mechanics and Engineering 351, 379-403, 2019 | 45 | 2019 |
Estimating the inf-sup constant in reduced basis methods for time-harmonic Maxwell’s equations MW Hess, S Grundel, P Benner IEEE Transactions on Microwave Theory and Techniques 63 (11), 3549-3557, 2015 | 37 | 2015 |
Basic ideas and tools for projection-based model reduction of parametric partial differential equations G Rozza, M Hess, G Stabile, M Tezzele, F Ballarin Model Order Reduction 2, 1-47, 2020 | 34* | 2020 |
A reduced basis method for microwave semiconductor devices with geometric variations MW Hess, P Benner COMPEL: The International Journal for Computation and Mathematics in …, 2014 | 25 | 2014 |
Reduced basis model order reduction for Navier–Stokes equations in domains with walls of varying curvature MW Hess, A Quaini, G Rozza International Journal of Computational Fluid Dynamics 34 (2), 119-126, 2020 | 23 | 2020 |
Efficient computation of bifurcation diagrams with a deflated approach to reduced basis spectral element method M Pintore, F Pichi, M Hess, G Rozza, C Canuto Advances in Computational Mathematics 47, 1-39, 2021 | 18 | 2021 |
A data-driven surrogate modeling approach for time-dependent incompressible Navier-Stokes equations with dynamic mode decomposition and manifold interpolation MW Hess, A Quaini, G Rozza Advances in Computational Mathematics 49 (2), 22, 2023 | 15 | 2023 |
Reduced basis method for Poisson-Boltzmann equation C Kweyu, M Hess, L Feng, M Stein, P Benner ECCOMAS Congress 2, 4187-4195, 2016 | 10 | 2016 |
A spectral element reduced basis method for Navier–Stokes equations with geometric variations MW Hess, A Quaini, G Rozza Spectral and High Order Methods for Partial Differential Equations, 561, 2020 | 9 | 2020 |
A spectral element reduced basis method in parametric CFD MW Hess, G Rozza Numerical Mathematics and Advanced Applications ENUMATH 2017, 693-701, 2019 | 9 | 2019 |
Reduced basis modeling for uncertainty quantification of electromagnetic problems in stochastically varying domains P Benner, MW Hess Scientific Computing in Electrical Engineering: SCEE 2014, Wuppertal …, 2016 | 8 | 2016 |
A comparison of reduced-order modeling approaches using artificial neural networks for PDEs with bifurcating solutions MW Hess, A Quaini, G Rozza arXiv preprint arXiv:2010.07370, 2020 | 6 | 2020 |
Volume 2 Snapshot-Based Methods and Algorithms G Rozza, M Hess, G Stabile, M Tezzele, F Ballarin, C Gräßle, M Hinze, ... De Gruyter 10 (9783110671490), 2020 | 6 | 2020 |
The Reduced Basis Method for Time‐Harmonic Maxwell's Equations P Benner, M Heß PAMM 12 (1), 661-662, 2012 | 5 | 2012 |
Reduced basis generation for maxwell’s equations by rigorous error estimation MW Hess, P Benner 19th International Conference on the Computation of Electromagnetic Fields …, 2013 | 4 | 2013 |
Reduced order modeling for spectral element methods: current developments in Nektar++ and further perspectives MW Hess, A Lario, G Mengaldo, G Rozza Spectral and High Order Methods for Partial Differential Equations ICOSAHOM …, 2022 | 3 | 2022 |
Reduced basis approximations for Maxwell’s equations in dispersive media P Benner, M Hess Model Reduction of Parametrized Systems, 107-119, 2017 | 3 | 2017 |
Reduced Basis Approximations for Electromagnetic Applications MW Hess Otto-von-Guericke Universität Magdeburg, 2016 | 3 | 2016 |
Output error estimates in reduced basis methods for time-harmonic maxwell’s equations MW Hess, P Benner Numerical Mathematics and Advanced Applications ENUMATH 2015, 351-358, 2016 | 3 | 2016 |