41 citations · 177 across the 26 of their papers we have counts for
4 papers · 1 filter
Assessing the Performance of Leja and Clenshaw-Curtis Collocation for Computational Electromagnetics with Random Input Data
Dimitrios Loukrezis, Ulrich Römer, Herbert De Gersem
We consider the problem of quantifying uncertainty regarding the output of an electromagnetic field problem in the presence of a large number of uncertain input parameters. In orde…
Recent Advances of Isogeometric Analysis in Computational Electromagnetics
Zeger Bontinck, Jacopo Corno, Herbert De Gersem +8
In this communication the advantages and drawbacks of the isogeometric analysis (IGA) are reviewed in the context of electromagnetic simulations. IGA extends the set of polynomial…
Multilevel Monte Carlo Simulation of the Eddy Current Problem With Random Parameters
Armin Galetzka, Zeger Bontinck, Ulrich Römer +1
The multilevel Monte Carlo method is applied to an academic example in the field of electromagnetism. The method exhibits a reduced variance by assigning the samples to multiple mo…
Solving Parameter Estimation Problems with Discrete Adjoint Exponential Integrators
Ulrich Römer, Mahesh Narayanamurthi, Adrian Sandu
The solution of inverse problems in a variational setting finds best estimates of the model parameters by minimizing a cost function that penalizes the mismatch between model outpu…