Wave packets techniques
Nicolas Lerner (1996-1997)
Séminaire Équations aux dérivées partielles
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Nicolas Lerner (1996-1997)
Séminaire Équations aux dérivées partielles
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Eliane Bécache, Patrick Joly (2002)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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In this work, we investigate the Perfectly Matched Layers (PML) introduced by Bérenger [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....
Jérôme Droniou, Thierry Gallouët (2002)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We prove the convergence of a finite volume method for a noncoercive linear elliptic problem, with right-hand side in the dual space of the natural energy space of the problem.
Jaromír Šimša (1992)
Archivum Mathematicum
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We establish some criteria for a nonsingular square matrix depending on several parameters to be represented in the form of a matrix product of factors which depend on the single parameters.
Mikulevicius, R., Valiukevicius, G. (2000)
Electronic Journal of Probability [electronic only]
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Boris Kapitonov, Bernadette Miara, Gustavo Perla Menzala (2006)
ESAIM: Control, Optimisation and Calculus of Variations
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We consider a linear coupled system of quasi-electrostatic equations which govern the evolution of a 3-D layered piezoelectric body. Assuming that a dissipative effect is effective at the boundary, we study the uniform stabilization problem. We prove that this is indeed the case, provided some geometric conditions on the region and the interfaces hold. We also assume a monotonicity condition on the coefficients. As an application, we deduce exact controllability of the system with boundary...