jInv
swMATH ID:  15601 
Software Authors:  Lars Ruthotto, Eran Treister, Eldad Haber 
Description:  jInv  a flexible Julia package for PDE parameter estimation. Estimating parameters of Partial Differential Equations (PDEs) from noisy and indirect measurements requires solutions of illposed inverse problems. Such problems arise in a variety of applications such as geophysical, medical imaging, and nondestructive testing. These so called parameter estimation or inverse medium problems, are computationally intense since the underlying PDEs need to be solved numerous times until the reconstruction of the parameters is sufficiently accurate. Typically, the computational demand grows significantly when more measurements are available, which poses severe challenges to inversion algorithms as measurement devices become more powerful. In this paper we present jInv, a flexible framework and open source software that provides parallel algorithms for solving parameter estimation problems with many measurements. Being written in the expressive programing language Julia, jInv is portable, easy to understand and extend, crossplatform tested, and welldocumented. It provides parallelization schemes that exploit the inherent structure in many parameter estimation problems and can be used to solve multiphysics inversion problems as is demonstrated using numerical experiments motivated by geophysical imaging. 
Homepage:  https://github.com/JuliaInv/jInv.jl 
Source Code:  https://github.com/JuliaInv/jInv.jl 
Keywords:  inverse problems; PDEconstrained optimization; GaussNewton; Full waveform inversion; Travel time tomography; D.C resistivity; parallel computing; opensource 
Related Software:  Julia; GitHub; MUMPS; PARDISO; Trilinos; PETSc; Matlab; clique; PSP; KrylovMethods.jl; pycombina; JuMP; MINOTAUR; FilMINT; MINLP; Bonmin; Knapsack; AMPL; SCIP; ROL 
Cited in:  12 Publications 
Standard Articles
1 Publication describing the Software, including 1 Publication in zbMATH  Year 

jInv – a flexible Julia package for PDE parameter estimation. Zbl 1373.86013 Ruthotto, Lars; Treister, Eran; Haber, Eldad 
2017

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Cited by 23 Authors
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Cited in 7 Serials
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