Abstract
Recent progress in developing accurate quadrature rules for singular integrals is potentially very useful in higher-order electromagnetic modeling. It is often not so clear, however, how methods developed for linear elements can be applied to curvilinear elements. To this end, a detailed implementation of schemes is presented for handling numerical quadrature for modeling curvilinear elements in both integral and differential equation formulations. It is shown that the introduction of a tangent element not only incorporates fundamental geometry information about the surface and is useful in describing bases defined on the element, but it also facilitates the handling of quadrature rules, especially for singular or near-singular integrals. Detailed treatment of the use of singularity cancelation methods on curvilinear elements is given, and it is shown how singularity cancelation quadrature rules derived on linear elements apply to curvilinear elements.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
