Boundary integral formulae for the reconstruction  of electric
and electromagnetic inhomogeneities  of small volume

Habib Ammari; Shari Moskow; Michael S. Vogelius

Displaying similar documents to “Boundary integral formulae for the reconstruction of electric and electromagnetic inhomogeneities of small volume”

Numerical study of acoustic multiperforated plates

Abderrahmane Bendali, M’Barek Fares, Sophie Laurens, Sébastien Tordeux (2012)

ESAIM: Proceedings

Similarity:

It is rather classical to model multiperforated plates by approximate impedance boundary conditions. In this article we would like to compare an instance of such boundary conditions obtained through a matched asymptotic expansions technique to direct numerical computations based on a boundary element formulation in the case of linear acoustic.

Tangential fields in optical diffraction problems

Krček, Jiří, Vlček, Jaroslav, Žídek, Arnošt

Similarity:

Optical diffraction for periodical interface belongs to relatively fewer exploited application of boundary integral equations method. Our contribution presents the formulation of diffraction problem based on vector tangential fields, for which the periodical Green function of Helmholtz equation is of key importance. There are discussed properties of obtained boundary operators with singular kernel and a numerical implementation is proposed.

Numerical solution of a three-dimensional integral equation

Ruszlan H. Farzan (1990)

Banach Center Publications

Similarity:

Mathematical and numerical approaches for multiscale problems

E. Cancès, S. Labbé (2012)

ESAIM: Proceedings

Similarity:

Numerical integration in the Trefftz finite element method

Rozehnalová, Petra

Similarity:

Using the high order Trefftz finite element method for solving partial differential equation requires numerical integration of oscillating functions. This integration could be performed, instead of classic techniques, also by the Levin method with some modifications. This paper shortly describes both the Trefftz method and the Levin method with its modification.

Verified numerical computations for large-scale linear systems

Katsuhisa Ozaki, Takeshi Terao, Takeshi Ogita, Takahiro Katagiri (2021)

Applications of Mathematics

Similarity:

This paper concerns accuracy-guaranteed numerical computations for linear systems. Due to the rapid progress of supercomputers, the treatable problem size is getting larger. The larger the problem size, the more rounding errors in floating-point arithmetic can accumulate in general, and the more inaccurate numerical solutions are obtained. Therefore, it is important to verify the accuracy of numerical solutions. Verified numerical computations are used to produce error bounds on numerical...