In this work, we investigate the Perfectly Matched Layers (PML) introduced by Berenger [3] for designing efficient numerical absorbing layers in electromagnetism. We make a mathematical analysis of this model, first via a modal analysis with standard Fourier techniques, then via energy techniques. We obtain uniform in time stability results (that make precise some results known in the literature) and state some energy decay results that illustrate the absorbing properties of the model. This last technique allows us to prove the stability of the Yee's scheme for discretizing PML's
The Perfectly Matched Layer (PML) technique is an effective tool introduced by B´erenger [13] to red...
Berenger's perfectly matched layers (PML) have been found to be very efficient as a material absorbi...
A systematic analysis of matched layers is undertaken with special attention to better understand th...
International audienceIn this work, we investigate the Perfectly Matched Layers (PML) introduced by ...
In this work, we investigate the Perfectly Matched Layers (PML) introduced by Bérenger [3] for desi...
The Perfectly Matched Layer (PML) has become a standard for comparison in the techniques that have b...
The perfectly matched layer (PML) has recently been introduced by Berenger as a material absorbing b...
This thesis presents novel concepts for electromagnetic field simulations via partial differential e...
Abstract. Since its introduction the Perfectly Matched Layer (PML) has proven to be an accurate and ...
We investigate the long time behavior of two unsplit PML methods for the absorption of electromagnet...
This paper deals with an equivalent Berenger\u27s Perfectly Matched Layer (PML) model. We first deve...
International audienceThis paper shows how to eliminate an undesirable long-time linear growth of th...
Abstract. In this paper we address the temporal energy growth associated with numerical approximatio...
Recent studies have focused on the extension of the Berenger's absorbing boundary condition (ABC)-th...
One of the methods for the numerical simulation of electromagnetic waves propa-gation in exterior do...
The Perfectly Matched Layer (PML) technique is an effective tool introduced by B´erenger [13] to red...
Berenger's perfectly matched layers (PML) have been found to be very efficient as a material absorbi...
A systematic analysis of matched layers is undertaken with special attention to better understand th...
International audienceIn this work, we investigate the Perfectly Matched Layers (PML) introduced by ...
In this work, we investigate the Perfectly Matched Layers (PML) introduced by Bérenger [3] for desi...
The Perfectly Matched Layer (PML) has become a standard for comparison in the techniques that have b...
The perfectly matched layer (PML) has recently been introduced by Berenger as a material absorbing b...
This thesis presents novel concepts for electromagnetic field simulations via partial differential e...
Abstract. Since its introduction the Perfectly Matched Layer (PML) has proven to be an accurate and ...
We investigate the long time behavior of two unsplit PML methods for the absorption of electromagnet...
This paper deals with an equivalent Berenger\u27s Perfectly Matched Layer (PML) model. We first deve...
International audienceThis paper shows how to eliminate an undesirable long-time linear growth of th...
Abstract. In this paper we address the temporal energy growth associated with numerical approximatio...
Recent studies have focused on the extension of the Berenger's absorbing boundary condition (ABC)-th...
One of the methods for the numerical simulation of electromagnetic waves propa-gation in exterior do...
The Perfectly Matched Layer (PML) technique is an effective tool introduced by B´erenger [13] to red...
Berenger's perfectly matched layers (PML) have been found to be very efficient as a material absorbi...
A systematic analysis of matched layers is undertaken with special attention to better understand th...
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