Selecting Optimal Numerical Integration Rules for Double Surface Integrals on Triangular Domains

Mario Cvetković, Dragan Poljak, Ante Lojic-Kapetanovic, Hrvoje Dodig
January 2021
Cite

Abstract

This work is on a rather simple and intuitive approach for the selection of optimal quadrature order in terms of lowest number of integration points while retaining the required accuracy. To demonstrate this the Dunavant’s symmetrical quadrature rules for triangles are utilized to numerically solve one of the double surface integrals occurring in the numerical solution of integral equation formulations. Examples of several triangle combinations at various radio frequencies are given. The real and imaginary parts of the solution are presented using a P, Q-square in order to illustrate the proposed approach.

Type
Conference paper
Publication
15th International Conference on Applied Electromagnetics PEC 2021, Proceedings of Full Papers
Numerical Integration Dunavant Rules Integral Equation Formulation Double Surface Integrals
Mario Cvetković
Mario Cvetković
Associate Professor | Department of Electrical Engineering Fundamentals

Associate professor at FESB in Split, with a research focus on numerical modeling including finite element and moment methods, computational bioelectromagnetics and heat transfer related phenomena. He is involved in IEEE’s ICES Technical Committee 95, various international projects and is committed to advancing both knowledge and practical applications in electromagnetic safety and biomedical engineering.