Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Open Access Guideline
Open Access Guideline
Postgraduate Thesis Guideline
Postgraduate Thesis Guideline
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
Evaluation of Hypersingular Integrals on Curvilinear Surface Elements
Date
2016-04-15
Author
Selcuk, Gokhun
Koç, Seyit Sencer
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
251
views
0
downloads
Cite This
In this study finite part integrals are utilized for evaluation of hypersingular and nearly-hypersingular surface integrals on curvilinear elements. These integrals are related to the second derivative of the free space Green' function and arise in the solution of electric field integral equation (EFIE) via locally corrected Nystriim (LCN) method. The curvilinear elements are represented by the Taylor series expansion of the surface function around the observation point. The hypersingular integral, defined on a curvilinear element, is written as a summation of hypersingular and weakly singular integrals which are defined on a flat surface. Numerical studies show that increased accuracy is obtained for hypersingular integrals on curvilinear elements.
Subject Keywords
EFIE
,
Hypersingular Integral
,
Nystriim Method
,
Scattering
URI
https://hdl.handle.net/11511/55583
Conference Name
10th European Conference on Antennas and Propagation (EuCAP)
Collections
Department of Electrical and Electronics Engineering, Conference / Seminar
Suggestions
OpenMETU
Core
Evaluation of Hypersingular Integrals on Non-planar Surfaces
Selcuk, Gokhun; Koç, Seyit Sencer (2014-05-16)
Solving electric field integral equation (EFIE) with Nystrom method requires accurate evaluation of hypersingular surface integrals since this method does not use divergence conforming basis and testing functions. The success of the method also depends on accurate representation of non-planar characteristics of the scattering object. In this study Hadamard finite part interpretation is used to evaluate hypersingular integrals over non-planar surfaces, which are represented by their Taylor series expansions....
An Efficient Semianalytical Method for Hypersingularity Treatment Over Curved Patches
Selcuk, G.; Koç, Seyit Sencer (2017-05-01)
In this communication, we propose an efficient method to evaluate hypersingular integrals defined on curved surfaces. First an exact expression for hypersingular kernel is derived by projecting the integral on curvilinear element on a flat surface. Next singularity subtraction employed, where the singular core is hypersingular and the remaining part is weakly singular. The singular core is evaluated analytically using finite part interpretation and the remaining weakly singular part is evaluated numerically...
A new differential formulation of acoustic scattering by rotationally symmetrical penetrable scatterers
Günalp, Nilgün; TOSUN, H (1994-07-01)
A new differential formulation is presented for acoustic wave scattering from rotationally symmetric penetrable bodies. The numerical implementation of this formulation is fairly simple, and comprises basically the construction of the state-transition matrix of a system of differential equations and the solution of a matrix equation. The validity and the accuracy of the numerical scheme are tested considering objects of known scattering behavior. Other numerical applications are also presented to demonstrat...
Generalized Hybrid Surface Integral Equations for Finite Periodic Perfectly Conducting Objects
Karaosmanoglu, Bariscan; Ergül, Özgür Salih (2017-01-01)
Hybrid formulations that are based on simultaneous applications of diversely weighted electric-field integral equation (EFIE) and magnetic-field integral equation (MFIE) on periodic but finite structures involving perfectly conducting surfaces are presented. Formulations are particularly designed for closed conductors by considering the unit cells of periodic structures as sample problems for optimizing EFIE and MFIE weights in selected regions. Three-region hybrid formulations, which are designed by geneti...
On generalized integral inequalities with applications in bio-mathematics and physical sciences
Pelen, Neslihan Nesliye; Önsiper, Mustafa Hurşit; Güvenilir, Ayşe Feza; Department of Mathematics (2015)
In this thesis, applications of generalized integral inequalities especially on biomathematics and physics are studied. Application on Biomathematics is about the predatorprey dynamic systems with Beddington DeAngelis type functional response and application on physics is about water percolation equation. This thesis consists 6 chapters. Chapter 1 is introductory and contains the thesis structure. Chapter 2 is about under which conditions the two dimensional predator-prey dynamic system with Beddington DeAn...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
G. Selcuk and S. S. Koç, “Evaluation of Hypersingular Integrals on Curvilinear Surface Elements,” presented at the 10th European Conference on Antennas and Propagation (EuCAP), Davos, SWITZERLAND, 2016, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/55583.
