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20222024
most citedOn the computation of analytic sensitivities of eigenpairs in isogeometric analysis

8 citations · 19 across the 6 of their papers we have counts for

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5 papers · 1 filter

cs.CE2024

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…

cs.CE2023

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…

cs.CE2023

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…

cs.CE2022★ 8 cited

On the computation of analytic sensitivities of eigenpairs in isogeometric analysis

Anna Ziegler, Melina Merkel, Peter Gangl +1

The eigenmodes of resonating structures, e.g., electromagnetic cavities, are sensitive to deformations of their shape. In order to compute the sensitivities of the eigenpair with r…

cs.CE2022★ 7 cited

Mode Recognition by Shape Morphing for Maxwell's Eigenvalue Problem

Anna Ziegler, Niklas Georg, Wolfgang Ackermann +1

In electrical engineering, for example during the design of superconducting radio-frequency cavities, eigenmodes must be identified based on their field patterns. This allows to un…