jInv--a Flexible Julia Package for PDE Parameter Estimation

DOI10.1137/16M1081063zbMath1373.86013arXiv1606.07399OpenAlexW2964244196WikidataQ122688472 ScholiaQ122688472MaRDI QIDQ5372651

Eran Treister, Lars Ruthotto, Eldad Haber

Publication date: 27 October 2017

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.07399

zbMATH Keywords

inverse problemsparallel computingPDE-constrained optimizationDC resistivityGauss-Newtonfull waveform inversionopen sourcetravel time tomography

Mathematics Subject Classification ID

Inverse problems in geophysics (86A22) Parallel numerical computation (65Y05) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) PDEs in connection with control and optimization (35Q93)

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Inversion of convection-diffusion equation with discrete sources, Optimal Experimental Design for Inverse Problems with State Constraints, Dynamically learning the parameters of a chaotic system using partial observations, Determining the viscosity of the Navier–Stokes equations from observations of finitely many modes, Multimodal 3D Shape Reconstruction under Calibration Uncertainty Using Parametric Level Set Methods, A hybrid shifted Laplacian multigrid and domain decomposition preconditioner for the elastic Helmholtz equations, Parametric level-set inverse problems with stochastic background estimation, Full Waveform Inversion Guided by Travel Time Tomography, A multiscale method for model order reduction in PDE parameter estimation, PNKH-B: A Projected Newton--Krylov Method for Large-Scale Bound-Constrained Optimization, A fast marching algorithm for the factored eikonal equation, Julia language in machine learning: algorithms, applications, and open issues, Full Waveform Inversion Using Extended and Simultaneous Sources, jInv, An Uncertainty-Weighted Asynchronous ADMM Method for Parallel PDE Parameter Estimation

Uses Software

• PARDISO
• PETSc
• MUMPS
• Trilinos
• FEniCS
• HDF
• Sundance
• Julia
• HDF5
• SimPEG

Cites Work

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