Considerations on double exponential-based cubatures for the computation of weakly singular Galerkin inner products

Athanasios G. Polimeridis; Ioannis D. Koufogiannis; Michael Mattes; Juan R. Mosig

doi:10.1109/TAP.2012.2189708

Considerations on double exponential-based cubatures for the computation of weakly singular Galerkin inner products

Athanasios G. Polimeridis^*, Ioannis D. Koufogiannis, Michael Mattes, Juan R. Mosig

^*Corresponding author for this work

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

Highly accurate and efficient cubatures based on the double exponential quadrature rules are presented for the computation of weakly singular integrals arising in Galerkin mixed potential integral equation formulations. Due to their unique ability to handle non-smooth kernels, the proposed integration schemes can safely replace (in a plug-n-play sense) the traditional Gauss-Legendre rules in the existing singularity cancellation and singularity subtraction methods. Numerical examples using RWG basis functions confirm the excellent performance of the proposed method.

Original language	English
Article number	6163367
Journal	IEEE Transactions on Antennas and Propagation
Volume	60
Issue number	5
Pages (from-to)	2579-2582
Number of pages	4
ISSN	0018-926X
DOIs	https://doi.org/10.1109/TAP.2012.2189708
Publication status	Published - 2012
Externally published	Yes

Keywords

Double exponential quadrature
method of moments (MoM)
mixed potential integral equation (MPIE)
RWG basis functions
weakly singular integrals

Access to Document

10.1109/TAP.2012.2189708

SFX availability

Full text

Cite this

@article{a366246838c843dca19693aa3cd484d9,

title = "Considerations on double exponential-based cubatures for the computation of weakly singular Galerkin inner products",

abstract = "Highly accurate and efficient cubatures based on the double exponential quadrature rules are presented for the computation of weakly singular integrals arising in Galerkin mixed potential integral equation formulations. Due to their unique ability to handle non-smooth kernels, the proposed integration schemes can safely replace (in a plug-n-play sense) the traditional Gauss-Legendre rules in the existing singularity cancellation and singularity subtraction methods. Numerical examples using RWG basis functions confirm the excellent performance of the proposed method.",

keywords = "Double exponential quadrature, method of moments (MoM), mixed potential integral equation (MPIE), RWG basis functions, weakly singular integrals",

author = "Polimeridis, {Athanasios G.} and Koufogiannis, {Ioannis D.} and Michael Mattes and Mosig, {Juan R.}",

year = "2012",

doi = "10.1109/TAP.2012.2189708",

language = "English",

volume = "60",

pages = "2579--2582",

journal = "I E E E Transactions on Antennas and Propagation",

issn = "0018-926X",

publisher = "Institute of Electrical and Electronics Engineers",

number = "5",

}

Considerations on double exponential-based cubatures for the computation of weakly singular Galerkin inner products. / Polimeridis, Athanasios G.; Koufogiannis, Ioannis D.; Mattes, Michael; Mosig, Juan R.

In: IEEE Transactions on Antennas and Propagation, Vol. 60, No. 5, 6163367, 2012, p. 2579-2582.

Research output: Contribution to journal › Journal article › Research › peer-review

TY - JOUR

T1 - Considerations on double exponential-based cubatures for the computation of weakly singular Galerkin inner products

AU - Polimeridis, Athanasios G.

AU - Koufogiannis, Ioannis D.

AU - Mattes, Michael

AU - Mosig, Juan R.

PY - 2012

Y1 - 2012

N2 - Highly accurate and efficient cubatures based on the double exponential quadrature rules are presented for the computation of weakly singular integrals arising in Galerkin mixed potential integral equation formulations. Due to their unique ability to handle non-smooth kernels, the proposed integration schemes can safely replace (in a plug-n-play sense) the traditional Gauss-Legendre rules in the existing singularity cancellation and singularity subtraction methods. Numerical examples using RWG basis functions confirm the excellent performance of the proposed method.

AB - Highly accurate and efficient cubatures based on the double exponential quadrature rules are presented for the computation of weakly singular integrals arising in Galerkin mixed potential integral equation formulations. Due to their unique ability to handle non-smooth kernels, the proposed integration schemes can safely replace (in a plug-n-play sense) the traditional Gauss-Legendre rules in the existing singularity cancellation and singularity subtraction methods. Numerical examples using RWG basis functions confirm the excellent performance of the proposed method.

KW - Double exponential quadrature

KW - method of moments (MoM)

KW - mixed potential integral equation (MPIE)

KW - RWG basis functions

KW - weakly singular integrals

UR - http://www.scopus.com/inward/record.url?scp=84860699403&partnerID=8YFLogxK

U2 - 10.1109/TAP.2012.2189708

DO - 10.1109/TAP.2012.2189708

M3 - Journal article

AN - SCOPUS:84860699403

VL - 60

SP - 2579

EP - 2582

JO - I E E E Transactions on Antennas and Propagation

JF - I E E E Transactions on Antennas and Propagation

SN - 0018-926X

IS - 5

M1 - 6163367

ER -

Considerations on double exponential-based cubatures for the computation of weakly singular Galerkin inner products

Abstract

Keywords

Access to Document

SFX availability

Other files and links

Fingerprint

Cite this