4 papers
A Mixed Tree-Cotree Gauge for the Reduced Basis Approximation of Maxwell's Eigenvalue Problem
Anna Ziegler, Sebastian Schöps
Model order reduction methods are a powerful tool to drastically reduce the computational effort of problems which need to be evaluated repeatedly, i.e., when computing the same sy…
Shape uncertainty quantification of Maxwell eigenvalues and -modes with application to TESLA cavities
Jürgen Dölz, David Ebert, Sebastian Schöps +1
We consider Maxwell eigenvalue problems on uncertain shapes with perfectly conducting TESLA cavities being the driving example. Due to the shape uncertainty the resulting eigenvalu…
Gradient-Based Eigenvalue Optimization for Electromagnetic Cavities with Built-in Mode Matching
Anna Ziegler, Robert Hahn, Victoria Isensee +2
Shape optimization with respect to eigenvalues of a cavity plays an important role in the design of new resonators or in the optimization of existing ones. In our paper, we propose…
Reduced Basis Approximation for Maxwell's Eigenvalue Problem and Parameter-Dependent Domains
Max Kappesser, Anna Ziegler, Sebastian Schöps
In many high-frequency simulation workflows, eigenvalue tracking along a parameter variation is necessary. This can become computationally prohibitive when repeated time-consuming…