Symmetric triangle quadrature rules for arbitrary functions

Freno, Brian A.; Johnson, William A.; Zinser, Brian F.; Campione, Salvatore

doi:10.1016/j.camwa.2019.12.021

Symmetric triangle quadrature rules for arbitrary functions

Journal Article · Fri May 01 00:00:00 EDT 2020 · Computers and Mathematics with Applications (Oxford)

DOI:https://doi.org/10.1016/j.camwa.2019.12.021· OSTI ID:2350866

; Johnson, William A.; Zinser, Brian F.; Campione, Salvatore

Not Available

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: NA0003525

OSTI ID:: 2350866

Alternate ID(s):: OSTI ID: 1601434
OSTI ID: 1762571
OSTI ID: 1595014
OSTI ID: 1698252

Journal Information:: Computers and Mathematics with Applications (Oxford), Journal Name: Computers and Mathematics with Applications (Oxford) Journal Issue: 10 Vol. 79; ISSN 0898-1221

Publisher:: ElsevierCopyright Statement

Country of Publication:: United Kingdom

Language:: English

References (11)

High degree efficient symmetrical Gaussian quadrature rules for the triangle Dunavant, D. A. International Journal for Numerical Methods in Engineering, Vol. 21, Issue 6 https://doi.org/10.1002/nme.1620210612	journal	June 1985
Generalized Gaussian quadrature rules on arbitrary polygons Mousavi, S. E.; Xiao, H.; Sukumar, N. International Journal for Numerical Methods in Engineering https://doi.org/10.1002/nme.2759	journal	January 2009
Symmetric quadrature rules on a triangle Wandzurat, S.; Xiao, H. Computers & Mathematics with Applications, Vol. 45, Issue 12 https://doi.org/10.1016/S0898-1221(03)90004-6	journal	June 2003
A numerical algorithm for the construction of efficient quadrature rules in two and higher dimensions Xiao, Hong; Gimbutas, Zydrunas Computers & Mathematics with Applications, Vol. 59, Issue 2 https://doi.org/10.1016/j.camwa.2009.10.027	journal	January 2010
Computation of moderate-degree fully-symmetric cubature rules on the triangle using symmetric polynomials and algebraic solving Papanicolopulos, Stefanos-Aldo Computers & Mathematics with Applications, Vol. 69, Issue 7 https://doi.org/10.1016/j.camwa.2015.02.014	journal	April 2015
A method for the solution of certain non-linear problems in least squares Levenberg, Kenneth Quarterly of Applied Mathematics, Vol. 2, Issue 2 https://doi.org/10.1090/qam/10666	journal	January 1944
Moderate Degree Symmetric Quadrature Rules for the Triangle Lyness, J. N.; Jespersen, D. IMA Journal of Applied Mathematics, Vol. 15, Issue 1 https://doi.org/10.1093/imamat/15.1.19	journal	January 1975
An Improved Transformation and Optimized Sampling Scheme for the Numerical Evaluation of Singular and Near-Singular Potentials Khayat, M. A.; Wilton, D. R.; Fink, P. W. IEEE Antennas and Wireless Propagation Letters, Vol. 7 https://doi.org/10.1109/LAWP.2008.928461	journal	January 2008
Advanced Numerical Schemes for the Accurate Evaluation of 4-D Reaction Integrals in the Method of Moments Vipiana, Francesca; Wilton, Donald R.; Johnson, William A. IEEE Transactions on Antennas and Propagation, Vol. 61, Issue 11 https://doi.org/10.1109/TAP.2013.2277864	journal	November 2013
An Algorithm for Least-Squares Estimation of Nonlinear Parameters Marquardt, Donald W. Journal of the Society for Industrial and Applied Mathematics, Vol. 11, Issue 2 https://doi.org/10.1137/0111030	journal	June 1963
Generalized Gaussian Quadrature Rules for Systems of Arbitrary Functions Ma, J.; Rokhlin, V.; Wandzura, S. SIAM Journal on Numerical Analysis, Vol. 33, Issue 3 https://doi.org/10.1137/0733048	journal	June 1996

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