Scilab and Matlab Toolboxes
Participant : Grégoire Allaire.
With a student from Caltech, Anton Karrman, who did an internship at CMAP, we developed a Scilab toolbox on shape and topology optimization by the level set method (in 2-d). The routines, a short user's manual and several examples are available on the web page: http://www.cmap.polytechnique.fr/~allaire/levelset_en.html
Conformal mapping method
Participant : Houssem Haddar.
This Scilab toolbox is dedicated to the resolution of inverse 2-D electrostatic problems using the conformal mapping method introduced by Akdumann, Kress and Haddar. The toolbox treats the cases of a simply connected obstacle with Dirichlet, Neumann or impedance boundary conditions or a simply connected inclusion with a constant conductivity.
Spectral Method for Lipmann-Schwinger Equation
Participants : Armin Lechleiter, Dinh Liem Nguyen.
This Matlab toolbox solves scattering problems for inhomogeneous media in two and three dimensions using an integral approach. The underlying Lippmann-Schwinger integral equation is discretized using the fast Fourier transform by a spectral method following ideas of Vainikko. The discrete system is then solved by an iterative solver (e.g., GMRES). The toolbox also offers the possibility to precondition the solver by a two-grid approach.