Characterization and Integration of the Singular Test Integrals in the Method-of-Moments Implementation of the Electric-Field Integral Equation
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Francesca Vipiana | Donald R. Wilton | William A. Johnson | Salvatore Campione | Brian A. Freno | Brian F. Zinser | D. Wilton | W. Johnson | F. Vipiana | S. Campione | B. Freno | Brian Zinser
[1] James N. Lyness,et al. Moderate degree symmetric quadrature rules for the triangle j inst maths , 1975 .
[2] D. Wilton,et al. Electromagnetic scattering by surfaces of arbitrary shape , 1980 .
[3] M. G. Duffy,et al. Quadrature Over a Pyramid or Cube of Integrands with a Singularity at a Vertex , 1982 .
[4] D. Wilton,et al. Potential integrals for uniform and linear source distributions on polygonal and polyhedral domains , 1984 .
[5] D. A. Dunavant. High degree efficient symmetrical Gaussian quadrature rules for the triangle , 1985 .
[6] Roberto D. Graglia,et al. On the numerical integration of the linear shape functions times the 3-D Green's function or its gradient on a plane triangle , 1993 .
[7] Vladimir Rokhlin,et al. Generalized Gaussian quadrature rules for systems of arbitrary functions , 1996 .
[8] S. Wandzurat,et al. Symmetric quadrature rules on a triangle , 2003 .
[9] P. Yla-Oijala,et al. Calculation of CFIE impedance matrix elements with RWG and n/spl times/RWG functions , 2003 .
[10] L. Gurel,et al. Improved testing of the magnetic-Field integral equation , 2005, IEEE Microwave and Wireless Components Letters.
[11] L. Gurel,et al. Singularity of the magnetic-field Integral equation and its extraction , 2005, IEEE Antennas and Wireless Propagation Letters.
[12] M.A. Khayat,et al. Numerical evaluation of singular and near-singular potential Integrals , 2005, IEEE Transactions on Antennas and Propagation.
[13] M.A. Khayat,et al. An improved transformation and optimized sampling scheme for the numerical evaluation of singular and near-singular potentials , 2008, 2007 IEEE Antennas and Propagation Society International Symposium.
[14] M.A. Khayat,et al. Simple and Efficient Numerical Evaluation of Near-Hypersingular Integrals , 2008, IEEE Antennas and Wireless Propagation Letters.
[15] Francesca Vipiana,et al. Optimized Numerical Evaluation of Singular and Near-Singular Potential Integrals Involving Junction Basis Functions , 2011, IEEE Transactions on Antennas and Propagation.
[16] J. R. Mosig,et al. Considerations on Double Exponential-Based Cubatures for the Computation of Weakly Singular Galerkin Inner Products , 2012, IEEE Transactions on Antennas and Propagation.
[17] F. Vipiana,et al. DIRECTFN: Fully Numerical Algorithms for High Precision Computation of Singular Integrals in Galerkin SIE Methods , 2013, IEEE Transactions on Antennas and Propagation.
[18] F. Vipiana,et al. Numerical Evaluation via Singularity Cancellation Schemes of Near-Singular Integrals Involving the Gradient of Helmholtz-Type Potentials , 2013, IEEE Transactions on Antennas and Propagation.
[19] M. Botha,et al. A Family of Augmented Duffy Transformations for Near-Singularity Cancellation Quadrature , 2013, IEEE Transactions on Antennas and Propagation.
[20] Francesca Vipiana,et al. Advanced Numerical Schemes for the Accurate Evaluation of 4-D Reaction Integrals in the Method of Moments , 2013, IEEE Transactions on Antennas and Propagation.
[21] Stefanos-Aldo Papanicolopulos,et al. Computation of moderate-degree fully-symmetric cubature rules on the triangle using symmetric polynomials and algebraic solving , 2015, Comput. Math. Appl..
[22] Francesca Vipiana,et al. Evaluation of 4-D Reaction Integrals in the Method of Moments: Coplanar Element Case , 2017, IEEE Transactions on Antennas and Propagation.
[23] Christophe Craeye,et al. All-Analytical Evaluation of the Singular Integrals Involved in the Method of Moments , 2018, IEEE Transactions on Antennas and Propagation.
[24] Francesca Vipiana,et al. Hybrid Integration Scheme for the Evaluation of Strongly Singular and Near-Singular Integrals in Surface Integral Equations , 2019, IEEE Transactions on Antennas and Propagation.
[25] Francesca Vipiana,et al. Evaluation of 4-D Reaction Integrals Via Double Application of the Divergence Theorem , 2019, IEEE Transactions on Antennas and Propagation.
[26] Symmetric Triangle Quadrature Rules for Arbitrary Functions , 2019, Comput. Math. Appl..
[27] Francesca Vipiana,et al. Evaluation of Static Potential Integrals on Triangular Domains , 2020, IEEE Access.