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- Igor Tsukerman
- IEEE Transactions on Magnetics
- 2005

The accuracy of finite-difference analysis in electromagnetics can be qualitatively improved by employing arbitrary local approximating functions, not limited to Taylor expansion polynomials. In theâ€¦ (More)

- Igor Tsukerman
- 1998

The accuracy of Finite Element approximation depends on the size and shape of elements. The proposed theory clarifies the source of shape related errors. A new general accuracy condition based on theâ€¦ (More)

- Igor Tsukerman
- 1998

ï£§ The accuracy of finite element approximation on tetrahedral elements is studied using the previously derived maximum eigenvalue condition. This condition is linked with the minimum singular valueâ€¦ (More)

- Igor Tsukerman
- IEEE Transactions on Magnetics
- 2004

A new framework for constructing variational-difference schemes with arbitrary local approximating functions is proposed. The key concept is multivalued approximation on a system of overlappingâ€¦ (More)

- Anders Pors, Igor Tsukerman, Sergey I. Bozhevolnyi
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2011

We introduce a general implementation of the recently proposed homogenization theory [Tsukerman, J. Opt. Soc. Am. B 28, 577 (2011)] allowing one to retrieve all 36 linear constitutive parameters ofâ€¦ (More)

- Xiaoyan Y. Z. Xiong, Lijun Jiang, Vadim A. Markel, Igor Tsukerman
- Optics express
- 2013

Reflection and transmission of electromagnetic waves at the boundaries of periodic composites (electromagnetic/optical metamaterials) depends in general on both bulk and surface waves. We investigateâ€¦ (More)

- Fritz Kretzschmar, Sascha M. Schnepp, Igor Tsukerman, Thomas Weiland
- J. Computational Applied Mathematics
- 2014

- Igor Tsukerman
- IEEE/ACES International Conference on Wirelessâ€¦
- 2005

In finite difference methods, the notorious 'staircase' effect arises when a slanted or curved boundary is rendered on a cartesian grid. The new flexible local approximation methods (FLAME)â€¦ (More)

Reflection and refraction of electromagnetic waves by artificial periodic composites (metamaterials) can be accurately modeled by an effective medium theory only if the boundary of the medium isâ€¦ (More)

- Herbert Egger, Fritz Kretzschmar, Sascha M. Schnepp, Igor Tsukerman, Thomas Weiland
- Applied Mathematics and Computation
- 2015

The modeling and simulation of electromagnetic wave propagation is often accompanied by a restriction to bounded domains which requires the introduction of artificial boundaries. The correspondingâ€¦ (More)