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- Thomas Weiland
- 1996

In the eld of computational electrodynamics the discretization of Maxwell's equations using the Finite Integration Theory (FIT) yields very large, sparse, complex symmetric linear systems of equations. For this class of complex non-Hermitian systems a number of conjugate gradient-type algorithms is considered. The complex version of the biconjugate gradient… (More)

- Igor Zagorodnov, Rolf Schuhmann, Thomas Weiland
- J. Comput. Physics
- 2007

- Oliver Poděbrad, Markus Clemens, Thomas Weiland
- 2002

A new flexible subgridding scheme for the Finite Integration Technique is presented, which can be applied for the numerical simulation of electromagnetic phenomena in static, time and frequency domains as well as for the eigenmode computation. Numerical simulations both in the static as well as in the high frequency regime are presented to give evidence of… (More)

1098-4402= The Yee finite-difference time domain method (FDTD) is commonly used in wake field and particle-incell simulations. However, in accelerator modeling the high energy particles can travel in vacuum faster than their own radiation. This effect is commonly referred to as numerical Cherenkov radiation and is a consequence of numerical grid dispersion.… (More)

- A. Geranmayeh, W. Ackermann, T. Weiland
- 2007 International Conference on Electromagnetics…
- 2007

Mathematicians have proven that few specific collocation methods provide stable numerical solution for the delay differential equations provided the accuracy order of the finite difference approximation matches to that of the temporal interpolation. To adjoin this important conclusion to the development of stable time-domain field integral equation-based… (More)

We report the development of different algorithms for the calculation of quality factors of eigenmodes in accelerating cavities, which have resonance frequencies above the cutoff frequency of the beam tubes. The analysis is based on a discretization of such cavity structures by the Finite Integration Technique (FIT), and the radiation at the open… (More)

- S. Feigh, R. Schuhmann, T. Weiland
- 2002

For the numerical solution of complex eigenvalue problems, arising with gyrotropic materials in resonators, the Jacobi-Davidson method is considered. In this paper the correction equation, which has to be solved within the Jacobi-Davidson method, is simplified and several preconditioning strategies, including also a multigrid scheme, are compared for the… (More)

- G. Lubkowski, B. Bandlow, R. Schuhmann, T. Weiland
- IEEE Transactions on Microwave Theory and…
- 2009

This paper presents a numerical procedure applied to the modeling of double negative metamaterial (MTM) structures. At the unit-cell level, the properties of the MTM are described by the extracted isotropic constitutive parameters, dispersion diagrams, and higher order modes analysis. The information gathered at the unit-cell level is used to characterize… (More)

- Sascha M. Schnepp, Thomas Weiland
- J. Computational Applied Mathematics
- 2012

- Herbert Egger, Fritz Kretzschmar, Sascha M. Schnepp, Thomas Weiland
- SIAM J. Scientific Computing
- 2015