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Localization of Laplacian Eigenfunctions in Simple and Irregular Domains
The primary goal of the thesis is to study localization of Laplacian eigenfunctions in bounded domains when an eigenfunction is mainly supported by a small region of... -
The Gradient and laplacien filtered back projection operators
This paper presents a new method, based on the Filtered Back Projection technique (FBP) to compute directly the values of the gradient and the laplacien of an X-Ray... -
Fronts propagation and normalized p-laplacien on graphs : Algorithms and appl...
This work deals with the transcription of continuous partial derivative equations to arbitrary discrete domains by exploiting the formalism of partial difference... -
Commutator, spectral analysis and application
We present the theory of positive commutator and its recent improvements. We discuss applications to the spectral analysis of magnetic Laplacians on manifolds,... -
Algorithm to refine a finite volume mesh admissible for parabolic problems
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