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An iterative multi‐fidelity approach for model order reduction of multidimensional input parametric PDE systems
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Model Order Reduction in Contour Integral Methods for Parametric PDEs
Certified Reduced Basis Methods for Parametrized Partial Differential Equations
Jan S. Hesthaven, Gianluigi Rozza and Benjamin Stamm SpringerBriefs in Mathematics, Certified Reduced Basis Methods for Parametrized Partial Differential Equations 45 (2016) https://doi.org/10.1007/978-3-319-22470-1_4
A certified natural-norm successive constraint method for parametric inf–sup lower bounds
Maxwell’s equations for conductors with impedance boundary conditions: Discontinuous Galerkin and Reduced Basis Methods
Kristin Kirchner, Karsten Urban and Oliver Zeeb ESAIM: Mathematical Modelling and Numerical Analysis 50(6) 1763 (2016) https://doi.org/10.1051/m2an/2016006
Certified Reduced Basis Methods for Parametrized Partial Differential Equations
Jan S. Hesthaven, Gianluigi Rozza and Benjamin Stamm SpringerBriefs in Mathematics, Certified Reduced Basis Methods for Parametrized Partial Differential Equations 1 (2016) https://doi.org/10.1007/978-3-319-22470-1_1
Lyapunov-Based Error Bounds for the Reduced-Basis Method
A reduced basis method for microwave semiconductor devices with geometric variations
Martin W. Hess and Peter Benner COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering 33(4) 1071 (2014) https://doi.org/10.1108/COMPEL-12-2012-0377
Efficient greedy algorithms for high-dimensional parameter spaces with applications to empirical interpolation and reduced basis methods
Jan S. Hesthaven, Benjamin Stamm and Shun Zhang ESAIM: Mathematical Modelling and Numerical Analysis 48(1) 259 (2014) https://doi.org/10.1051/m2an/2013100
Accurate and online-efficient evaluation of thea posteriorierror bound in the reduced basis method
Fabien Casenave, Alexandre Ern and Tony Lelièvre ESAIM: Mathematical Modelling and Numerical Analysis 48(1) 207 (2014) https://doi.org/10.1051/m2an/2013097
Fast Evaluation of Time–Harmonic Maxwell's Equations Using the Reduced Basis Method
Certified Reduced Basis Methods and Output Bounds for the Harmonic Maxwell's Equations
Yanlai Chen, Jan S. Hesthaven, Yvon Maday and Jerónimo Rodríguez SIAM Journal on Scientific Computing 32(2) 970 (2010) https://doi.org/10.1137/09075250X