Finite element analysis of electromagnetic scattering problems via iterative leap-field domain decomposition method

Date

2008-01-01

Author

Ozgun, O.
Kuzuoğlu, Mustafa

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

176
views

0
downloads

We introduce the Iterative Leap-field Domain Decomposition Method (ILF-DDM), which is based on the dual employment of Finite Element Method and Huygens' Principle iteratively, for the solution of electromagnetic boundary value problems. The method can be applied to cases involving both multiple objects and a single 'challenging' object using the locally-conformal perfectly matched layer technique. We report some numerical results for two-dimensional electromagnetic scattering problems.

Subject Keywords

Objects, Algorithm

URI

https://hdl.handle.net/11511/33044

Journal

JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS

DOI

https://doi.org/10.1163/156939308784160668

Collections

Department of Electrical and Electronics Engineering, Article

Suggestions

OpenMETU
Core

Parallel-MLFMA Solutions of Large-Scale Problems Involving Composite Objects Ergül, Özgür Salih (2012-07-14) We present a parallel implementation of the multilevel fast multipole algorithm (MLFMA) for fast and accurate solutions of large-scale electromagnetics problems involving composite objects with dielectric and metallic parts. Problems are formulated with the electric and magnetic current combined-field integral equation (JMCFIE) and solved iteratively with MLFMA on distributed-memory architectures. Numerical examples involving canonical and complicated objects, such as optical metamaterials, are presented to...
Rigorous Solutions of Large-Scale Scattering Problems Discretized with Hundreds of Millions of Unknowns Guerel, L.; Ergül, Özgür Salih (2009-09-18) We present fast and accurate solutions of large-scale scattering problems using a parallel implementation of the multilevel fast multipole algorithm (MLFMA). By employing a hierarchical partitioning strategy, MLFMA can be parallelized efficiently on distributed-memory architectures. This way, it becomes possible to solve very large problems discretized with hundreds of millions of unknowns. Effectiveness of the developed simulation environment is demonstrated on various scattering problems involving canonic...
Finite element modeling of electromagnetic radiation Özgün, Özlem; Kuzuoğlu, Mustafa; Department of Electrical and Electronics Engineering (2007) The Finite Element Method (FEM) is a powerful numerical method to solve wave propagation problems for open-region electromagnetic radiation/scattering problems involving objects with arbitrary geometry and constitutive parameters. In high-frequency applications, the FEM requires an electrically large computational domain, implying a large number of unknowns, such that the numerical solution of the problem is not feasible even on state-of-the-art computers. An appealing way to solve a large FEM problem is to...
Finite element error analysis for a projection-based variational multiscale method with nonlinear eddy viscosity John, Volker; Kaya Merdan, Songül; Kindl, Adele (Elsevier BV, 2008-08-15) The paper presents a finite element error analysis for a projection-based variational multiscale (VMS) method for the incompressible Navier-Stokes equations. In the VMS method, the influence of the unresolved scales onto the resolved small scales is modeled by a Smagorinsky-type turbulent viscosity.
Efficient Surface Integral Equation Methods for the Analysis of Complex Metamaterial Structures Yla-Oijala, Pasi; Ergül, Özgür Salih; Gurel, Levent; Taskinen, Matti (2009-03-27) Two approaches, the multilevel fast multipole algorithm with sparse approximate inverse preconditioner and the surface equivalence principle algorithm, are applied to analyze complex three-dimensional metamaterial structures. The efficiency and performance of these methods are studied and discussed.

Citation Formats

O. Ozgun and M. Kuzuoğlu, “Finite element analysis of electromagnetic scattering problems via iterative leap-field domain decomposition method,” JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS, pp. 251–266, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/33044.