Rational kernel-based interpolation for complex-valued frequency response functions

no code implementations • 25 Jul 2023 • Julien Bect, Niklas Georg, Ulrich Römer, Sebastian Schöps

This work is concerned with the kernel-based approximation of a complex-valued function from data, where the frequency response function of a partial differential equation in the frequency domain is of particular interest.

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Uncertainty quantification for an optical grating coupler with an adjoint-based Leja adaptive collocation method

no code implementations • 19 Jul 2018 • Niklas Georg, Dimitrios Loukrezis, Ulrich Römer, Sebastian Schöps

By combining the Leja adaptive algorithm with an adjoint-based error indicator, an even smaller complexity is obtained.

Computational Engineering, Finance, and Science Numerical Analysis Computational Physics Optics 60H15, 60H35, 65N30, 78A40, 78M10 I.6.3; J.2; G.1.8