Finite Element Modeling of Anisotropic Half-Space Problems by a Simple Mesh Truncation Scheme

2017-07-14
ÖZGÜN, ÖZLEM
Kuzuoğlu, Mustafa
Anisotropic half-space problems are modeled with finite element method with a simple mesh truncation scheme based on the locally-conformal PML method. The PML is simply implemented by just using complex coordinates inside an anisotropic medium without introducing additional anisotropy and without modifying the finite element formulation. This approach is useful to model electromagnetic radiation and scattering from structures embedded within arbitrary anisotropic media. Simulation results are demonstrated to measure the performance of the model.

Suggestions

Recent advances in perfectly matched layers in finite element applications
Ozgun, Ozlem; Kuzuoğlu, Mustafa (2008-01-01)
We present a comparative evaluation of two novel and practical perfectly matched layer (PML) implementations to the problem of mesh truncation in the finite element method (FEM): locally-conformal PML, and multi-center PML techniques. The most distinguished feature of these methods is the simplicity and flexibility to design conformal PMLs over challenging geometries, especially those with curvature discontinuities, in a straightforward way without using artificial absorbers. These methods are based on spec...
Multicenter perfectly matched layer implementation for finite element mesh truncation
Ozgun, Ozlem; Kuzuoğlu, Mustafa (Wiley, 2007-04-01)
We present the multicenter perfectly matched layer (PML) technique, which is an easy and practical conformal PML implementation, obtained by the complex coordinate stretching, to the problem of mesh truncation in the finite element method. After developing the analytical background of this method. we demonstrate its performance in electromagnetic radiation/scattering problems. (c) 2007 Wiley Periodicals, Inc.
Non-Maxwellian locally-conformal PML absorbers for finite element mesh truncation
Ozgun, Ozlem; Kuzuoğlu, Mustafa (Institute of Electrical and Electronics Engineers (IEEE), 2007-03-01)
We introduce the locally-conformal perfectly matched layer (PML) approach, which is an easy and straightforward PML implementation, to the problem of mesh truncation in the finite element method (FEM). This method is based on a locally-defined complex coordinate transformation which has no explicit dependence on the differential geometric characteristics of the PML-free space interface. As a result, it is possible to handle challenging PML geometries with interfaces having arbitrary curvature, especially th...
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...
Finite element error analysis of a variational multiscale method for the Navier-Stokes equations
Volker, John; Kaya Merdan, Songül (Springer Science and Business Media LLC, 2008-01-01)
The paper presents finite element error estimates of a variational multiscale method (VMS) for the incompressible Navier-Stokes equations. The constants in these estimates do not depend on the Reynolds number but on a reduced Reynolds number or on the mesh size of a coarse mesh.
Citation Formats
Ö. ÖZGÜN and M. Kuzuoğlu, “Finite Element Modeling of Anisotropic Half-Space Problems by a Simple Mesh Truncation Scheme,” 2017, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/53713.