31 citations · 105 across the 22 of their papers we have counts for
7 papers · 1 filter
Conforming and nonconforming Trefftz approximations for two-dimensional scalar electromagnetic problems
Igor Tsukerman
Trefftz functions satisfy the differential equation locally and exactly; quasi-Trefftz functions do so approximately to prescribed high order. This paper considers (quasi-)Trefftz…
Effective Medium Transformation: the Case of Stratified Magnetic Structures
Markus Schöbinger, Karl Hollaus, Igor Tsukerman
Effective medium theory replaces a given fine-scale heterostructure with a homogeneous one in such a way that the physically measurable quantities, e.g. reaction fields and losses,…
Accuracy of Difference Schemes in Electromagnetic Applications: a Trefftz Analysis
Igor Tsukerman
The paper examines local approximation errors of finite difference schemes in electromagnetic analysis. Despite a long history of the subject, several accuracy-related issues have…
Trefftz Approximations in Complex Media: Accuracy and Applications
Igor Tsukerman, Shampy Mansha, Y. D. Chong +1
Approximations by Trefftz functions are rapidly gaining popularity in the numerical solution of boundary value problems of mathematical physics. By definition, these functions sati…
Discontinuous Galerkin Methods with Trefftz Approximation
Fritz Kretzschmar, Sascha Schnepp, Igor Tsukerman +1
We present a novel Discontinuous Galerkin Finite Element Method for wave propagation problems. The method employs space-time Trefftz-type basis functions that satisfy the underlyin…
A Singularity-free Boundary Equation Method for Wave Scattering
Igor Tsukerman
Traditional boundary integral methods suffer from the singularity of Green's kernels. The paper develops, for a model problem of 2D scattering as an illustrative example, singulari…