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10 papers · 2 filters
Design and analysis of a Schwarz coupling method for a dimensionally heterogeneous problem
Manel Tayachi Pigeonnat, Antoine Rousseau, Eric Blayo +2
In the present work, we study and analyze an efficient iterative coupling method for a dimensionally heterogeneous problem . We consider the case of 2-D Laplace equation with non s…
Small time heat kernel asymptotics at the cut locus on surfaces of revolution
Davide Barilari, Jacek Jendrej
In this paper we investigate the small time heat kernel asymptotics on the cut locus on a class of surfaces of revolution, which are the simplest 2-dimensional Riemannian manifolds…
Invasion fronts with variable motility: phenotype selection, spatial sorting and wave acceleration
Emeric Bouin, Vincent Calvez, Nicolas Meunier +4
Invasion fronts in ecology are well studied but very few mathematical results concern the case with variable motility (possibly due to mutations). Based on an apparently simple rea…
Numerical simulation of an energy-transport model for partially quantized particles
Paola Pietra, Nicolas Vauchelet
A coupled quantum-classical model describing the transport of electrons confined in nanoscale semiconductor devices is considered. Using the subband decomposition approach allows t…
Transparent boundary conditions for locally perturbed infinite hexagonal periodic media
Christophe Besse, Julien Coatleven, Sonia Fliss +2
In this paper, we propose a strategy to determine the Dirichlet-to-Neumann (DtN) operator for infinite, lossy and locally perturbed hexagonal periodic media. We obtain a factorizat…
Radiation condition at infinity for the high-frequency Helmholtz equation: optimality of a non-refocusing criterion
Aurélien Klak, François Castella
We consider the high frequency Helmholtz equation with a variable refraction index (), supplemented with a given high frequency source term supported near the…