Finite elements in computational electromagnetism

R Hiptmair - Acta Numerica, 2002 - cambridge.org
This article discusses finite element Galerkin schemes for a number of linear model
problems in electromagnetism. The finite element schemes are introduced as discrete …

[BOOK][B] Boundary integral equations

GC Hsiao, WL Wendland - 2008 - Springer
In Chapter 1 we presented basic ideas for the reduction of boundary value problems of the
Laplacian to various forms of boundary integral equations based on the direct approach …

[BOOK][B] Ad-hoc, Mobile, and Wireless Networks: 11th International Conference, ADHOC-NOW 2012, Belgrade, Serbia, July 9-11, 2012. Proceedings

XY Li, S Papavassiliou, S Ruehrup - 2012 - books.google.com
The International Conference on Ad-Hoc Networks and Wireless (ADHOC-NOW) has
become a well-known venue for research dedicated to wireless sensor networks and mobile …

A dual finite element complex on the barycentric refinement

A Buffa, S Christiansen - Mathematics of computation, 2007 - ams.org
Given a two dimensional oriented surface equipped with a simplicial mesh, the standard
lowest order finite element spaces provide a complex $ X^\bullet $ centered on Raviart …

Galerkin boundary element methods for electromagnetic scattering

A Buffa, R Hiptmair - Topics in computational wave propagation: direct and …, 2003 - Springer
Methods based on boundary integral equations are widely used in die numerical simulation
of electromagnetic scattering in the frequency domain. This article examines a particular …

Domain decomposition preconditioning for surface integral equations in solving challenging electromagnetic scattering problems

Z Peng, R Hiptmair, Y Shao… - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
We propose and study a nonoverlap** and nonconforming domain decomposition
method for the integral-equation-based solution of large, complex electromagnetic (EM) …

Interior penalty method for the indefinite time-harmonic Maxwell equations

P Houston, I Perugia, A Schneebeli, D Schötzau - Numerische Mathematik, 2005 - Springer
In this paper, we introduce and analyze the interior penalty discontinuous Galerkin method
for the numerical discretization of the indefinite time-harmonic Maxwell equations in the high …

Computations of electromagnetic wave scattering from penetrable composite targets using a surface integral equation method with multiple traces

Z Peng, KH Lim, JF Lee - IEEE transactions on antennas and …, 2012 - ieeexplore.ieee.org
We present a surface integral equation domain decomposition method (SIE-DDM) for time
harmonic electromagnetic wave scattering from bounded composite targets. The proposed …

The electric field integral equation on Lipschitz screens: definitions and numerical approximation

A Buffa, SH Christiansen - Numerische Mathematik, 2003 - Springer
We use the integral equation approach to study electromagnetic scattering by perfectly
conducting (non-orientable) Lipschitz screens. The well-posedness of the electric field …

Nonconformal domain decomposition methods for solving large multiscale electromagnetic scattering problems

Z Peng, KH Lim, JF Lee - Proceedings of the IEEE, 2012 - ieeexplore.ieee.org
In this paper, we present our efforts in combating a challenging large multiscale
electromagnetic scattering problem, viz. a plane-wave scattering from a mockup partially …