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Section: Software

Softwares written in FORTRAN

Samplings-2d

Participant : Houssem Haddar [correspondant] .

This software is written in Fortran 90 and is related to forward and inverse problems for the Helmholtz equation in 2-D. It includes three independent components. The first one solves to scattering problem using integral equation approach and supports piecewise-constant dielectrics and obstacles with impedance boundary conditions. The second one contains various samplings methods to solve the inverse scattering problem (LSM, RGLSM(s), Factorization, MuSiC) for near-field or far-field setting. The third component is a set of post processing functionalities to visualize the results

See also the web page http://sourceforge.net/projects/samplings-2d/ .

Samplings-3d

Participant : Houssem Haddar [correspondant] .

This software is written in Fortran 90 and is related to forward and inverse problems for the Helmholtz equation in 3-D. It contains equivalent functionalities to samplings-2d in a 3-D setting.

Time domain samplings-2d

Participants : Houssem Haddar [correspondant] , Armin Lechleiter.

This software is written in Fortran 90 and is related to forward and inverse problems for the time dependent wave equation in 2-D. The forward solver is based on a FDTD method with PMLs. The inverse part is an implementation of the linear sampling method in a near field setting and the factorization method in a far field setting.

Solver for the Bloch-Torrey pde

Participant : Jing Rebecca Li-Schlittgen [correspondant] .

We propose a numerical method for solving the Bloch-Torrey partial differential equation in multiple diffusion compartments to compute the bulk magnetization of a sample under the influence of a diffusion gradient. We couple a mass-conserving finite element discretization in space with a stable time discretization using an explicit Runge-Kutta-Chebyshev method. The code can be used for simulation in two and three dimensions and is written in Fortran 90.


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