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19952026
most citedInverse Problem for a Curved Quantum Guide

1k citations

Showing 2016 · math.NAShow all

5 papers · 2 filters

math.NA2016★ 2 cited

Convergent algorithm based on Carleman estimates for the recovery of a potential in the wave equation

Lucie Baudouin, Maya de Buhan, Sylvain Ervedoza

This article develops the numerical and theoretical study of a reconstruction algorithm of a potential in a wave equation from boundary measurements, using a cost functional built…

math.NA2016★ 36 cited

An explicit asymptotic preserving low Froude scheme for the multilayer shallow water model with density stratification

Frédéric Couderc, Arnaud Duran, Jean-Paul Vila

We present an explicit scheme for a two-dimensional multilayer shallow water model with density stratification, for general meshes and collocated variables. The proposed strategy i…

math.NA2016★ 101 cited

Uncertainty quantification of inflow boundary condition and proximal arterial stiffness coupled effect on pulse wave propagation in a vascular network

A Brault, L Dumas, D Lucor

SUMMARY This work aims at quantifying the effect of inherent uncertainties from cardiac output on the sensitivity of a human compliant arterial network response based on stochastic…

math.NA2016

A finite volume scheme for boundary-driven convection-diffusion equations with relative entropy structure

Francis Filbet, Maxime Herda

We propose a finite volume scheme for a class of nonlinear parabolic equations endowed with non-homogeneous Dirichlet boundary conditions and which admit relative en-tropy function…

math.NA2016

A p-adaptive local discontinuous galerkin level set method for Willmore flow

Ruihan Guo, Francis Filbet

The level set method is often used to capture interface behavior in two or three dimensions. In this paper, we present a combination of local discontinuous Galerkin (LDG) method an…