VIP-PDE: Sandbox for Variational Inverse Problems governed by PDEs
VIP-PDE is a tutorial-style description of inverse problems, in which the parameters and the measurement data are related through the solution of a partial differential equation (PDE). It also contains example implementations of the methods and algorithms.
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Reconstruction of initial condition in advective-diffusive transport. Initial condition and time evolution at two time instances (top row) and reconstructed initial condition using (noisy) time-distributed boundary measurements at inner boundaries (left). |
Documentation
N. Petra and G. Stadler: Model variational inverse problems governed by partial differential equations, ICES Report No. 11-05, The Institute for Computational Engineering and Sciences, The University of Texas at Austin, 2011. [ pdf ]
Contact
Please contact us with questions, bugs, missing or confusing instructions or descriptions.
- Noemi Petra (noemi at ices.utexas.edu)
- Georg Stadler (georgst at ices.utexas.edu)
Download Model Problems (COMSOL Multiphysics v3.5 (or earlier) with MATLAB)
- VIP-PDE v1.1 [ Download tar file of model problems ] Last update: October 30, 2012. [New!]
- This update of the VIPPDE package contains two model problems:
- 1) Inversion for the log of the coefficient field in an elliptic equation;
- 2) Inversion for the exponent parameter in the pPoisson (nonlinear) problem.
- VIP-PDE v1.0 [ Download tar file of model problems ] Last update: March 25, 2011.
Disclaimer
This SOFTWARE PRODUCT is provided "as is" and "with all faults." We make no representations or warranties of any kind concerning the safety, suitability, lack of viruses, inaccuracies, typographical errors, or other harmful components of this SOFTWARE PRODUCT. There are inherent dangers in the use of any software, and you are solely responsible for determining whether this SOFTWARE PRODUCT is compatible with your equipment and other software installed on your equipment. You are also solely responsible for the protection of your equipment and backup of your data, and THE PROVIDER will not be liable for any damages you may suffer in connection with using, modifying, or distributing this SOFTWARE PRODUCT.