Publications of Martin W. Hess

Hess, M. W., Grundel, S., & Benner, P. (2015)Estimating the Inf-Sup Constant in Reduced Basis Methods for Time-Harmonic Maxwell's EquationsIEEE Transactions on Microwave Theory and Techniques, 63 (11), 3549–3557 doi: 10.1109/TMTT.2015.2473157.

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.

Hess, M. W. & Benner, P. (2013)Fast Evaluation of Time-Harmonic Maxwell's Equations Using the Reduced Basis MethodIEEE Transactions on Microwave Theory and Techniques, 61 (6), 2265–2274doi: 10.1109/TMTT.2013.2258167.

Benner, P. & Hess, M. W. (2017)Reduced Basis Approximations for Maxwell’s Equations in Dispersive MediaModel Reduction of Parametrized Systems107–119Cham: Springerdoi: 10.1007/978-3-319-58786-8_7.

Benner, P. & Hess, M. W. (2016)Reduced Basis Modeling for Uncertainty Quantification of Electromagnetic Problems in Stochastically Varying DomainScientific Computing in Electrical Engineering215–222Cham: Springer International Publishingdoi: 10.1007/978-3-319-30399-4_21.

Hess, M. W. & Benner, P. (2016)Output Error Estimates in Reduced Basis Methods for Time-Harmonic Maxwell's EquationsNumerical Mathematics and Advanced Applications - ENUMATH 2015351–358Cham: Springer International Publishingdoi: 10.1007/978-3-319-39929-4_33.

Kweyu, C. M., Hess, M. W., Feng, L., Stein, M., & Benner, P. (2016)Reduced Basis Method for Poisson-Boltzmann EquationIn: Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering: Volume II, 4187–4195.

Hess, M. W. & Benner, P. (2013)Reduced Basis Generation for Maxwell’s Equations by Rigorous Error EstimationIn: Proceedings of the 19th International Conference on the Computation of Electromagnetic Fields (COMPUMAG 2013), PD2–10.

Benner, P. & Hess, M. W. (2012)The Reduced Basis Method for Time-Harmonic Maxwell´s EquationsIn: Proceedings in Applied Mathematics and Mechanics, 661–662doi: 10.1002/pamm.201210319.

Kweyu, C. M., Hess, M. W., Feng, L., Stein, M., & Benner, P.Reduced Basis Method for Poisson-Boltzmann EquationPresented at: VII European Congress on Computational Methods in Applied Sciences and EngineeringCrete Island, Greece, June 5, 2016.

Kweyu, C. M., Hess, M. W., Feng, L., Stein, M., & Benner, P.Reduced Basis Method for Poisson-Boltzmann EquationPresented at: Reduced Basis Summer School 2016Hedersleben, Germany, October 4, 2016.

Hess, M. W. (2016)Reduced Basis Approximations for Electromagnetic ApplicationsPhD Thesis, Otto-von-Guericke Universität, Magdeburgdoi: 10.25673/4441.