Computational electromagnetics

About: Computational electromagnetics is a research topic. Over the lifetime, 6412 publications have been published within this topic receiving 113727 citations. The topic is also known as: Electromagnetic field analysis.

Multiscale Methods in Science and Engineering

Abstract: Multiscale Discontinuous Galerkin Methods for Elliptic Problems with Multiple Scales.- Discrete Network Approximation for Highly-Packed Composites with Irregular Geometry in Three Dimensions.- Adaptive Monte Carlo Algorithms for Stopped Diffusion.- The Heterogeneous Multi-Scale Method for Homogenization Problems.- A Coarsening Multigrid Method for Flow in Heterogeneous Porous Media.- On the Modeling of Small Geometric Features in Computational Electromagnetics.- Coupling PDEs and SDEs: The Illustrative Example of the Multiscale Simulation of Viscoelastic Flows.- Adaptive Submodeling for Linear Elasticity Problems with Multiscale Geometric Features.- Adaptive Variational Multiscale Methods Based on A Posteriori Error Estimation: Duality Techniques for Elliptic Problems.- Multipole Solution of Electromagnetic Scattering Problems with Many, Parameter Dependent Incident Waves.- to Normal Multiresolution Approximation.- Combining the Gap-Tooth Scheme with Projective Integration: Patch Dynamics.- Multiple Time Scale Numerical Methods for the Inverted Pendulum Problem.- Multiscale Homogenization of the Navier-Stokes Equation.- Numerical Simulations of the Dynamics of Fiber Suspensions.

Far-field approximation in electromagnetic scattering

Abstract: The volume integral equation formalism is used to derive and analyze specific criteria of applicability of the far-field approximation in electromagnetic scattering by a finite three-dimensional object. In the case of wavelength-sized and larger objects, this analysis leads to a natural subdivision of the entire external space into a near-field zone, a transition zone, and a far-field zone. It is demonstrated that the general criteria of far-field scattering are consistent with the theory and practice of T-matrix computations.

An Advanced SAR Simulator of Three-Dimensional Structures Combining Geometrical Optics and Full-Wave Electromagnetic Methods

Abstract: Modern research in the field of synthetic aperture radar (SAR) technology requires intensive simulations. The most accurate solution would be achieved by applying full-wave electromagnetic (EM) simulations. However, such an approach requires extremely huge computational efforts, mainly due to the large dimensions of the considered objects with respect to a wavelength. For that reason, most of currently used radar simulators are based on an optical approach, such as geometrical optics (GO). Full-wave EM methods require much more computational resources and are usually applicable to the analysis of geometries no larger than several wavelengths. Nowadays, standard desktop computer platforms are still equipped with too small computational resources to carry out full-wave EM simulations of large scenes considered in radar applications. This paper presents a new concept of hybrid analysis, based on GO enhanced with full-wave EM simulations of larger facets-of the size of a few radar resolution cells. The SAR raw radar simulator described in this paper allows a complex and realistic simulation of any scene under radar observation to be performed. The scene can be defined using any computer-aided-design software generating digital terrain model (DTM). It also allows using real DTMs gathered with, e.g., light detection and ranging systems.

A Vector Dual-Primal Finite Element Tearing and Interconnecting Method for Solving 3-D Large-Scale Electromagnetic Problems

Abstract: This paper attempts to apply the idea of the FETI-DPH method together with the first-order absorbing boundary condition (ABC) to solve relatively large-scale problems using edge elements. The algorithm for nodal elements is adapted to edge elements to represent the tangential electric and magnetic fields without changing the main idea of the method. The resulting method is denoted as the FETI-DPEM method in this paper

Verification of high-order mixed finite-element solution of transient magnetic diffusion problems

Abstract: We develop and present high-order mixed finite-element discretizations of the time-dependent electromagnetic diffusion equations for solving eddy-current problems on three-dimensional unstructured grids. The discretizations are based on high-order H(Grad), H(Curl), and H(Div) conforming finite-element spaces combined with an implicit and unconditionally stable generalized Crank-Nicholson time differencing method. We develop three separate electromagnetic diffusion formulations, namely the E (electric field), H(magnetic field), and the A-/spl phi/ (potential) formulations. For each formulation, we also provide a consistent procedure for computing the secondary variables J(current flux density) and B(magnetic flux density), as these fields are required for the computation of electromagnetic force and heating terms. We verify the error convergence properties of each formulation via a series of numerical experiments on canonical problems with known analytic solutions. The key result is that the different formulations are equally accurate, even for the secondary variables J and B, and hence the choice of which formulation to use depends mostly on relevance of the natural and essential boundary conditions to the problem of interest. In addition, we highlight issues with numerical verification of finite-element methods that can lead to false conclusions on the accuracy of the methods.