In an experiment, a plate (size 1 by 1) is clamped at the bottom and loaded at the middle top point by a concentrated load ( in -direction)

The -displacement at the point of loading is measured () and used to estimate the Young's modulus of the material. Four quadratic elements are used to model the indenter test. Initially, the Young's modulus is estimated to be . The top force and the measured displacement are such that the Young's modulus should become 1 in the inverse iteration process (with this element mesh). The table below shows the estimated Young's modulus versus the inverse iteration number

iteration | Young's modulus |

0 | 0.200 |

1 | 0.276 |

2 | 0.371 |

3 | 0.487 |

4 | 0.619 |

5 | 0.760 |

6 | 0.887 |

7 | 0.970 |

8 | 0.998 |

9 | 1.000 |