Welcome to the InverseToolKit (ITK) website. ITK is an opensource database for benchmark solutions for verification of inverse problems computer codes.
If this work has been useful for your research, please consider citing the following document on future publications:
Pacheco C.C. An online database of benchmark problems for verification of inverse problems computer codes. Heat Transfer Engineering, DOI: 10.1080/01457632.2023.2241175
Pacheco C.C. An online database of benchmark problems for verification of inverse problems computer codes. International Conference on Inverse Problems in Engineering (ICIPE), Francavilla Al Mare, Italy, 2022.
Database administration:
Prof. César C. Pacheco, D.Sc. — ORCID
Department of Mechanical Engineering, Federal Fluminense University (PGMEC/UFF)
Niterói, RJ, Brazil
Email: cesarp@id.uff.br
Acknowledgements:
FAPERJ is a foundation from the state government of Rio de Janeiro, Brazil, for fostering of Science & Technology. Every resource used for developing this database was funded by FAPERJ via JCNE grant.
LATERMO is the Laboratory of Thermal Sciences, located at Federal Fluminense University, Brazil. All simulations and experiments in this database were developed with their resources and infrastructure.
PGMEC is the Graduate Program in Mechanical Engineering. It is among the best evaluated graduate courses in Brazil, whose researchers made remarkable contributions in multiple fields of science. The masters and doctoral programs provides significant contributions in raising the future generation of scientists.
LIST OF TEST PROBLEMS
Parameter Estimation
TC001P – Linear – Free motion of a particle
TC002P – Nonlinear – Calibration of models of epidemiology
TC003P – Nonlinear – Heat flux identification in lumped capacity heat conduction models
TC004P – Nonlinear – 1D heat conduction in semi-infinite medium
Function Estimation
TC001F – Linear – 1st order Fredholm integral with Gaussian Kernel
TC002F – Nonlinear – Estimation of Position-Dependent thermal conductivity in Transient Heat Conduction
TC003F – Linear – Heat flux identification in lumped capacity heat conduction models
TC004F – Linear – Identification of pollution profiles
TC005F – Linear – Identification of High-Magnitude Boundary Heat Fluxes in 2D Transient Heat Conduction