Numerical simulations of cloaking problems using a DPG method

Authors:
L. Demkowicz;Jichun Li
Affiliations:
Institute for Computational Engineering and Sciences, The University of Texas, Austin, USA 78712;Department of Mathematical Sciences, University of Nevada, Las Vegas, USA 89154-4020
Venue:
Computational Mechanics
Year:
2013

Citing 4
Cited 1

Computing with Hp-Adaptive Finite Elements, Vol. 2: Frontiers Three Dimensional Elliptic and Maxwell Problems with Applications

Computing with Hp-Adaptive Finite Elements, Vol. 2: Frontiers Three Dimensional Elliptic and Maxwell Problems with Applications
Full-wave parallel dispersive finite-difference time-domain modeling of three-dimensional electromagnetic cloaking structures

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Cloaking Devices, Electromagnetic Wormholes, and Transformation Optics

SIAM Review
A class of discontinuous Petrov-Galerkin methods. Part IV: The optimal test norm and time-harmonic wave propagation in 1D

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An adaptive edge finite element method for electromagnetic cloaking simulation

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Abstract

The paper reviews the construction of cloaks for 2D acoustic or electromagnetic waves using the Piola transform, and shows how the knowledge of the transform leads to the construction of a quasi-optimal test norm for the Discontinuous Petrov---Galerkin (DPG) method with optimal test functions for this class of problems. Numerical experiments for cylindrical and square cloaks illustrate the discussed concepts and demonstrate the effectiveness of the DPG method in cloak simulations.