A Non-iterative Domain Decomposition Method for Finite Element Analysis of 3D Electromagnetic Scattering Problems

Ozgun, Ozlem
Kuzuoğlu, Mustafa
In this paper, we generalize this algorithm to 3D scattering problems, and we demonstrate that the algorithm is actually non-iterative in problems involving smooth convex geometries (such as sphere, cube, missile, cone, plate, etc.) and some special geometries (such as inlet). The most distinguished feature of the algorithm is the utilization of the locally-conformal perfectly matched layer (PML) method along the boundaries of the subdomains. In this algorithm, the original computational domain is partitioned into some number of overlapping subdomains, and then the problem in each subdomain is solved only once by appropriately defined PML regions attached to each subdomain. We demonstrate the performance of the algorithm in some 3D scattering problems.


Investigation of nonplanar perfectly matched absorbers for finite-element mesh truncation
Kuzuoğlu, Mustafa (1997-03-01)
In this paper, we present a detailed theoretical and numerical investigation of the perfectly matched layer (PML) concept as applied to the problem of mesh truncation in the finite-element method (FEM), We show that it is possible to extend the Cartesian PML concepts involving half-spaces to cylindrical and spherical geometries appropriate for closed boundaries in two and three dimensions by defining lossy anisotropic layers in the relevant coordinate systems, By using the method of separation of variables,...
On the Poisson sum formula for analysis of EM radiation/scattering from large finite arrays
Aydın Çivi, Hatice Özlem; Chou, HT (1998-01-01)
A useful procedure, that has been described previously in the literature, employs the Poisson sum formula to represent the solution to the fields of a three-dimensional (3D) large periodically spaced finite planar array problem configuration as a convolution of the infinite planar periodic array solution and the Fourier transform of the equivalent aperture distribution over the finite array. It is shown here that the Poisson sum formula utilized by Felsen and Carin (see J. Opt. Soc. Am. A, vol.11, no.4, p.1...
Modified Superformula Contours Optimized via Genetic Algorithms for Exponentially Converging 2D Solutions of MFIE
Guler, Sadri; Onol, Can; Ergül, Özgür Salih; Sever, Emrah; Dikmen, Fatih; Tuchkin, Yury A. (2017-05-25)
An infinitely smooth parametrical representation with derivatives of all orders is used, resulting into exponentially converging solutions of magnetic field integral equation (MFIE) in 2D either for TM or TE polarized excitations. A version of superformula modified for this purpose has been subject to optimization of its parameters via genetic algorithms to provide smooth parameterization for a desired boundary in two-dimensional problems. The organization of the MFIE kernel and convergence of the solution ...
Numerical Solution of Multi-scale Electromagnetic Boundary Value Problems by Utilizing Transformation-Based Metamaterials
Ozgun, Ozlem; Kuzuoğlu, Mustafa (2011-06-23)
We present numerical solution techniques for efficiently handling multi-scale electromagnetic boundary value problems having fine geometrical details or features, by utilizing spatial coordinate transformations. The principle idea is to modify the computational domain of the finite methods (such as the finite element or finite difference methods) by suitably placing anisotropic metamaterial structures whose material parameters are obtained by coordinate transformations, and hence, to devise easier and effic...
Multifrequency and multidirection optimizations of antenna arrays using heuristic algorithms and the multilevel fast multipole algorithm
Onol, Can; Alkis, Sena; Gokce, Ozer; Ergül, Özgür Salih (2016-07-01)
We consider fast and efficient optimizations of arrays involving three-dimensional antennas with arbitrary shapes and geometries. Heuristic algorithms, particularly genetic algorithms, are used for optimizations, while the required solutions are carried out accurately and efficiently via the multilevel fast multipole algorithm(MLFMA). The superposition principle is employed to reduce the number of MLFMA solutions to the number of array elements per frequency. The developed mechanism is used to optimize arra...
Citation Formats
O. Ozgun and M. Kuzuoğlu, “A Non-iterative Domain Decomposition Method for Finite Element Analysis of 3D Electromagnetic Scattering Problems,” 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/55642.