An algebraic method to develop well-posed PML models. Absorbing layers, perfectly matched layers, linearized Euler equations
In the article \textit{J.-P. Bérenger} [J. Comput. Phys. 127, No. 2, 363--379 (1996; Zbl 0862.65080)] the author proposed a new layer method called ``perfectly matched layer'', PML, for electromagnetism. This new method is based on the truncation of the computational domain by a layer which absorbs waves regardless of their frequency and angle of incidence. Unfortunately, this technique proposed by Bérenger leads to a system which has lost the most important properties of the original one: strong hyperbolicity and symmetry. Here the author proposes an algebraic technique leading to a PML model, strongly well-posed, preserving the advantages of the initial method and retainig symmetry. Moreover, the model uses primitive variables unlike the Bérenger model. The model is similar to the model obtained in \textit{J. S. Hesthaven} [J. Comput. Phys. 142, No. 1, 129--147 (1998; Zbl 0933.76063)]. The method can be generalized to other hyperbolic problems.
scientific article; zbMATH DE number 2083087