Numerical Simulations of Cloaking Problems using a DPG Method

Abstract

The paper reviews the construction of cloaks for 2D acoustic or electromagnetic waves using the Piola transform, and shows how 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 show that the DPG method is effective in cloak simulations.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 2011
Accession Number
ADA555341

Entities

People

  • Jichun Li
  • L. Demkowicz

Organizations

  • University of Texas at Austin

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms

DTIC Thesaurus Topics

  • Acoustics
  • Boundaries
  • Cartesian Coordinates
  • Construction
  • Dielectric Permittivity
  • Engineering
  • Equations
  • Frequency
  • Galerkin Method
  • Hilbert Space
  • Materials
  • Metamaterials
  • Plane Waves
  • Simulations
  • Universities
  • Wave Propagation
  • Waves

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Pulsed Power and Plasma Physics.