Fast algorithms for composite materials

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

Abstract

We briefly review recently developed fast algorithms for the evaluation of electrostatic fields in composite materials consisting of a collection of piecewise homogeneous inclusions embedded in a uniform background. These algorithms are based on combining a suitable boundary integral equation with the fast multipole method and a conjugate gradient-like iterative method. The CPU time required grows linearly with the number of points in the discretization of the interface between the inclusions and the background material, bringing large-scale calculations within practical reach.

Original languageEnglish (US)
Title of host publicationMaterials Research Society Symposium - Proceedings
EditorsEfthimios Kaxiras, John Joannopoulos, Priya Vashishta, Rajiv K. Kalia
PublisherMaterials Research Society
Pages93-97
Number of pages5
Volume408
StatePublished - 1996
EventProceedings of the 1996 MRS Fall Symposium - Boston, MA, USA
Duration: Nov 27 1995Dec 1 1995

Other

OtherProceedings of the 1996 MRS Fall Symposium
CityBoston, MA, USA
Period11/27/9512/1/95

Fingerprint

Boundary integral equations
Composite materials
Iterative methods
Program processors
Electric fields

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials

Cite this

Greengard, L. (1996). Fast algorithms for composite materials. In E. Kaxiras, J. Joannopoulos, P. Vashishta, & R. K. Kalia (Eds.), Materials Research Society Symposium - Proceedings (Vol. 408, pp. 93-97). Materials Research Society.

Fast algorithms for composite materials. / Greengard, Leslie.

Materials Research Society Symposium - Proceedings. ed. / Efthimios Kaxiras; John Joannopoulos; Priya Vashishta; Rajiv K. Kalia. Vol. 408 Materials Research Society, 1996. p. 93-97.

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

Greengard, L 1996, Fast algorithms for composite materials. in E Kaxiras, J Joannopoulos, P Vashishta & RK Kalia (eds), Materials Research Society Symposium - Proceedings. vol. 408, Materials Research Society, pp. 93-97, Proceedings of the 1996 MRS Fall Symposium, Boston, MA, USA, 11/27/95.
Greengard L. Fast algorithms for composite materials. In Kaxiras E, Joannopoulos J, Vashishta P, Kalia RK, editors, Materials Research Society Symposium - Proceedings. Vol. 408. Materials Research Society. 1996. p. 93-97
Greengard, Leslie. / Fast algorithms for composite materials. Materials Research Society Symposium - Proceedings. editor / Efthimios Kaxiras ; John Joannopoulos ; Priya Vashishta ; Rajiv K. Kalia. Vol. 408 Materials Research Society, 1996. pp. 93-97
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