Quasi-mixed-order prism basis functions for nyström-based volume integral equations

John C. Young; Stephen D. Gedney; Robert J. Adams

doi:10.1109/TMAG.2012.2197634

Quasi-mixed-order prism basis functions for nyström-based volume integral equations

John C. Young, Stephen D. Gedney, Robert J. Adams

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

Quasi-mixed order prism basis functions for use in Nyström discretizations of volume integral equations are presented. The prism basis function set is easily mixed with other basis function sets such as those defined on hexahedra and tetrahedra. The prism basis functions are applied to solve a magnetostatic volume integral equation for the analysis of magnetic materials. Analytic results for canonical problems are used to corroborate the basis function set and convergence and error data are discussed.

Original language	English
Article number	6194332
Pages (from-to)	2560-2566
Number of pages	7
Journal	IEEE Transactions on Magnetics
Volume	48
Issue number	10
DOIs	https://doi.org/10.1109/TMAG.2012.2197634
State	Published - 2012

Bibliographical note

Funding Information:
This work was supported by the Office of Naval Research under Grant N00014-04-1-0485.

Keywords

Integral equation methods
locally corrected Nyström method
magnetostatics
prism-basis functions

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Electrical and Electronic Engineering

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10.1109/TMAG.2012.2197634

Cite this

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title = "Quasi-mixed-order prism basis functions for nystr{\"o}m-based volume integral equations",

abstract = "Quasi-mixed order prism basis functions for use in Nystr{\"o}m discretizations of volume integral equations are presented. The prism basis function set is easily mixed with other basis function sets such as those defined on hexahedra and tetrahedra. The prism basis functions are applied to solve a magnetostatic volume integral equation for the analysis of magnetic materials. Analytic results for canonical problems are used to corroborate the basis function set and convergence and error data are discussed.",

keywords = "Integral equation methods, locally corrected Nystr{\"o}m method, magnetostatics, prism-basis functions",

author = "Young, {John C.} and Gedney, {Stephen D.} and Adams, {Robert J.}",

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year = "2012",

doi = "10.1109/TMAG.2012.2197634",

language = "English",

volume = "48",

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AU - Young, John C.

AU - Gedney, Stephen D.

AU - Adams, Robert J.

N1 - Funding Information: This work was supported by the Office of Naval Research under Grant N00014-04-1-0485.

PY - 2012

Y1 - 2012

N2 - Quasi-mixed order prism basis functions for use in Nyström discretizations of volume integral equations are presented. The prism basis function set is easily mixed with other basis function sets such as those defined on hexahedra and tetrahedra. The prism basis functions are applied to solve a magnetostatic volume integral equation for the analysis of magnetic materials. Analytic results for canonical problems are used to corroborate the basis function set and convergence and error data are discussed.

AB - Quasi-mixed order prism basis functions for use in Nyström discretizations of volume integral equations are presented. The prism basis function set is easily mixed with other basis function sets such as those defined on hexahedra and tetrahedra. The prism basis functions are applied to solve a magnetostatic volume integral equation for the analysis of magnetic materials. Analytic results for canonical problems are used to corroborate the basis function set and convergence and error data are discussed.

KW - Integral equation methods

KW - locally corrected Nyström method

KW - magnetostatics

KW - prism-basis functions

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EP - 2566

IS - 10

M1 - 6194332

ER -

Quasi-mixed-order prism basis functions for nyström-based volume integral equations

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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