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.
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