Dissipation free low order convolution quadrature for TDBIE

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper we present a modified convolution quadrature (CQ) algorithm for the discretization of time-domain boundary integral equations as used for acoustic or electromagnetic scattering. Standard, low-order CQ schemes are strongly dissipative, especially for waves with energies at high frequencies. High-order, Runge-Kutta based schemes are much less dissipative and have proved to be very effective in applications. Still, the question remained whether the, simpler to implement, lower order methods can be improved. The modified version of low order CQ that we present in this paper is easy to implement, results in sparse matrices, and seems to require a fixed number of degrees of freedom per wavelength to achieve a fixed error. We describe the method in detail and illustrate it by numerical experiments in both 2D and 3D.

Original languageEnglish
Title of host publicationProceedings of the 2015 International Conference on Electromagnetics in Advanced Applications (ICEAA)
PublisherIEEE
Pages1210-1213
Number of pages4
ISBN (Print)9781479978069
DOIs
Publication statusPublished - 2015
Event17th International Conference on Electromagnetics in Advanced Applications 2015 - Torino, Italy
Duration: 7 Sep 201511 Sep 2015

Conference

Conference17th International Conference on Electromagnetics in Advanced Applications 2015
Abbreviated titleICEAA 2015
CountryItaly
CityTorino
Period7/09/1511/09/15

Keywords

  • Approximation methods
  • Convolution
  • Dispersion
  • Integral equations
  • Sparse matrices
  • Time-domain analysis

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Instrumentation
  • Radiation

Fingerprint Dive into the research topics of 'Dissipation free low order convolution quadrature for TDBIE'. Together they form a unique fingerprint.

  • Cite this

    Banjai, L. (2015). Dissipation free low order convolution quadrature for TDBIE. In Proceedings of the 2015 International Conference on Electromagnetics in Advanced Applications (ICEAA) (pp. 1210-1213). [7297310] IEEE. https://doi.org/10.1109/ICEAA.2015.7297310