Numerical Simulations of Cloaking Problems using a DPG Method
TEXAS UNIV AT AUSTIN INST FOR COMPUTATIONAL ENGINEERING AND SCIENCES
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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.
- Numerical Mathematics
- Electricity and Magnetism