http://www.esaim-m2an.org Recent articles published in 'ESAIM: Mathematical Modelling and Numerical Analysis' daily 1 2010-3-12T:19:11:6Z EDP Sciences Copyright (c) EDP Sciences 2010 Copyright (c) EDP Sciences 2010 0764-583X ESAIM: Mathematical Modelling and Numerical Analysis About stability and regularization of ill-posed elliptic Cauchy problems: the case of $C^{1,1}$ domains http://www.esaim-m2an.org/10.1051/m2an/2010016 Authors: Laurent Bourgeois.<br />ESAIM: Mathematical Modelling and Numerical Analysis <br />Published online: 23/2/2010<br /> Keywords: Carleman estimate ; distance function ; elliptic Cauchy problems ; conditional stability ; quasi-reversibility.35A15 ; 35N25 ; 35R25 ; 35R30. About stability and regularization of ill-posed elliptic Cauchy problems: the case of $C^{1,1}$ domains Laurent Bourgeois Carleman estimate distance function elliptic Cauchy problems conditional stability quasi-reversibility 35A15 35N25 35R25 35R30 2010-2-23 text/html 10.1051/m2an/2010016 ESAIM: Mathematical Modelling and Numerical Analysis abstract m2an/first 2010-2-23 ESAIM: Mathematical Modelling and Numerical Analysis An iterative procedure to solve a coupled two-fluids turbulence model http://www.esaim-m2an.org/10.1051/m2an/2010015 Authors: Tomas Chacón Rebollo, Stéphane Del Pino and Driss Yakoubi.<br />ESAIM: Mathematical Modelling and Numerical Analysis <br />Published online: 23/2/2010<br /> Keywords: Ocean-atmosphere coupling ; turbulent flows ; convergence analysis ; iterative method ; spectral method.63N30 ; 76M10. An iterative procedure to solve a coupled two-fluids turbulence model Tomas Chacón Rebollo Stéphane Del Pino Driss Yakoubi Ocean-atmosphere coupling turbulent flows convergence analysis iterative method spectral method 63N30 76M10 2010-2-23 text/html 10.1051/m2an/2010015 ESAIM: Mathematical Modelling and Numerical Analysis abstract m2an/first 2010-2-23 ESAIM: Mathematical Modelling and Numerical Analysis Theoretical aspects and numerical computation of the time-harmonic Green's function for an isotropic elastic half-plane with an impedance boundary condition http://www.esaim-m2an.org/10.1051/m2an/2010020 Authors: Mario Durán, Eduardo Godoy and Jean-Claude Nédélec.<br />ESAIM: Mathematical Modelling and Numerical Analysis <br />Published online: 23/2/2010<br /> Keywords: Green's function ; half-plane ; time-harmonic elasticity ; impedance boundary condition ; surface waves.31A10 ; 35E05 ; 65T50 ; 74B05 ; 74J15. Theoretical aspects and numerical computation of the time-harmonic Green's function for an isotropic elastic half-plane with an impedance boundary condition Mario Durán Eduardo Godoy Jean-Claude Nédélec Green's function half-plane time-harmonic elasticity impedance boundary condition surface waves 31A10 35E05 65T50 74B05 74J15 2010-2-23 text/html 10.1051/m2an/2010020 ESAIM: Mathematical Modelling and Numerical Analysis abstract m2an/first 2010-2-23 ESAIM: Mathematical Modelling and Numerical Analysis Convergent finite element discretizations of the Navier-Stokes-Nernst-Planck-Poisson system http://www.esaim-m2an.org/10.1051/m2an/2010013 Authors: Andreas Prohl and Markus Schmuck.<br />ESAIM: Mathematical Modelling and Numerical Analysis <br />Published online: 23/2/2010<br /> Keywords: Electrohydrodynamics ; space-time discretization ; finite elements ; convergence.65N30 ; 35L60 ; 35L65. Convergent finite element discretizations of the Navier-Stokes-Nernst-Planck-Poisson system Andreas Prohl Markus Schmuck Electrohydrodynamics space-time discretization finite elements convergence 65N30 35L60 35L65 2010-2-23 text/html 10.1051/m2an/2010013 ESAIM: Mathematical Modelling and Numerical Analysis abstract m2an/first 2010-2-23 ESAIM: Mathematical Modelling and Numerical Analysis Two numerical methods for the elliptic Monge-Ampère equation http://www.esaim-m2an.org/10.1051/m2an/2010017 Authors: Jean-David Benamou, Brittany D. Froese and Adam M. Oberman.<br />ESAIM: Mathematical Modelling and Numerical Analysis <br />Published online: 23/2/2010<br /> Keywords: Finite difference schemes ; partial differential equations ; viscosity solutions ; Monge-Ampère equation.65N06 ; 65N12 ; 65M06 ; 65M12 ; 35B50 ; 35J60 ; 35R35 ; 35K65 ; 49L25. Two numerical methods for the elliptic Monge-Ampère equation Jean-David Benamou Brittany D. Froese Adam M. Oberman Finite difference schemes partial differential equations viscosity solutions Monge-Ampère equation 65N06 65N12 65M06 65M12 35B50 35J60 35R35 35K65 49L25 2010-2-23 text/html 10.1051/m2an/2010017 ESAIM: Mathematical Modelling and Numerical Analysis abstract m2an/first 2010-2-23 ESAIM: Mathematical Modelling and Numerical Analysis Finite element discretization of Darcy's equations with pressure dependent porosity http://www.esaim-m2an.org/10.1051/m2an/2010019 Authors: Vivette Girault, François Murat and Abner Salgado.<br />ESAIM: Mathematical Modelling and Numerical Analysis <br />Published online: 23/2/2010<br /> Keywords: Porous media flows ; Darcy equations ; finite elements.76S05 ; 65N30. Finite element discretization of Darcy's equations with pressure dependent porosity Vivette Girault François Murat Abner Salgado Porous media flows Darcy equations finite elements 76S05 65N30 2010-2-23 text/html 10.1051/m2an/2010019 ESAIM: Mathematical Modelling and Numerical Analysis abstract m2an/first 2010-2-23 ESAIM: Mathematical Modelling and Numerical Analysis An error analysis of the multi-configuration time-dependent Hartree method of quantum dynamics http://www.esaim-m2an.org/10.1051/m2an/2010018 Authors: Dajana Conte and Christian Lubich.<br />ESAIM: Mathematical Modelling and Numerical Analysis <br />Published online: 23/2/2010<br /> Keywords: MCTDH method ; multi-dimensional quantum dynamics ; low-rank approximation.81V55 ; 58J90 ; 35F25. An error analysis of the multi-configuration time-dependent Hartree method of quantum dynamics Dajana Conte Christian Lubich MCTDH method multi-dimensional quantum dynamics low-rank approximation 81V55 58J90 35F25 2010-2-23 text/html 10.1051/m2an/2010018 ESAIM: Mathematical Modelling and Numerical Analysis abstract m2an/first 2010-2-23 ESAIM: Mathematical Modelling and Numerical Analysis Electrowetting of a 3D drop: numerical modelling with electrostatic vector fields http://www.esaim-m2an.org/10.1051/m2an/2010014 Authors: Patrick Ciarlet Jr. and Claire Scheid.<br />ESAIM: Mathematical Modelling and Numerical Analysis <br />Published online: 23/2/2010<br /> Keywords: Electrowetting ; energy minimization ; contact angle ; error estimates.65N12 ; 65N30 ; 49Q10. Electrowetting of a 3D drop: numerical modelling with electrostatic vector fields Patrick Ciarlet Jr. Claire Scheid Electrowetting energy minimization contact angle error estimates 65N12 65N30 49Q10 2010-2-23 text/html 10.1051/m2an/2010014 ESAIM: Mathematical Modelling and Numerical Analysis abstract m2an/first 2010-2-23 ESAIM: Mathematical Modelling and Numerical Analysis