### Abstract

Original language | English |
---|---|

Pages (from-to) | 357-372 |

Number of pages | 16 |

Journal | Inverse Problems |

Volume | 23 |

Issue number | 1 |

DOIs | |

Publication status | Published - 17 Jan 2007 |

### Fingerprint

### Keywords

- mathematical physics
- computational physics

### Cite this

*Inverse Problems*,

*23*(1), 357-372. https://doi.org/10.1088/0266-5611/23/1/020

}

*Inverse Problems*, vol. 23, no. 1, pp. 357-372. https://doi.org/10.1088/0266-5611/23/1/020

**A procedure for the temperature reconstruction in corner domains from Cauchy data.** / Johansson, T.; Marin, L.

Research output: Contribution to journal › Article

TY - JOUR

T1 - A procedure for the temperature reconstruction in corner domains from Cauchy data

AU - Johansson, T.

AU - Marin, L.

PY - 2007/1/17

Y1 - 2007/1/17

N2 - An iterative procedure is proposed for the reconstruction of a stationary temperature field from Cauchy data given on a part of the boundary of a bounded plane domain where the boundary is smooth except for a finite number of corner points. In each step, a series of mixed well-posed boundary value problems are solved for the heat operator and its adjoint. Convergence is proved in a weighted L2-space. Numerical results are included which show that the procedure gives accurate and stable approximations in relatively few iterations.

AB - An iterative procedure is proposed for the reconstruction of a stationary temperature field from Cauchy data given on a part of the boundary of a bounded plane domain where the boundary is smooth except for a finite number of corner points. In each step, a series of mixed well-posed boundary value problems are solved for the heat operator and its adjoint. Convergence is proved in a weighted L2-space. Numerical results are included which show that the procedure gives accurate and stable approximations in relatively few iterations.

KW - mathematical physics

KW - computational physics

UR - http://iopscience.iop.org/0266-5611/23/1/020/

U2 - 10.1088/0266-5611/23/1/020

DO - 10.1088/0266-5611/23/1/020

M3 - Article

VL - 23

SP - 357

EP - 372

JO - Inverse Problems

JF - Inverse Problems

SN - 0266-5611

IS - 1

ER -