### Abstract

Inverse problems arise in many practical systems, where the desired result is known but the conditions needed for achieving it are not known. In materials processing, for instance, the temperature cycle to which a component must be subjected in order to obtain desired characteristics through heat treatment is prescribed. However, the boundary and initial conditions are not known and must be determined by solving the inverse problem. The solutions thus obtained are generally non-unique. This paper discusses inverse problems that arise in a variety of practical processes and presents some of the approaches that may be used to obtain results that lie within a small region of uncertainty. Optimization methods that may be used to select locations for experimental data and for reducing the error are presented. A few examples are given to illustrate the applicability of these methods and the challenges that must be addressed in solving inverse problems.

Original language | English (US) |
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Pages (from-to) | 23-27 |

Number of pages | 5 |

Journal | International Conference on Computational Methods for Thermal Problems |

Issue number | 223309 |

Publication status | Published - Jan 1 2018 |

Event | 5th International Conference on Computational Methods for Thermal Problems, THERMACOMP 2018 - Bengaluru, India Duration: Jul 9 2018 → Jul 11 2018 |

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### All Science Journal Classification (ASJC) codes

- Fluid Flow and Transfer Processes
- Computational Mathematics
- Numerical Analysis

### Keywords

- Inverse problems
- Optimization
- Practical systems
- Uncertainty
- Unique solutions