Determination of a time-dependent heat transfer coefficient in a nonlinear inverse heat conduction problem

作者：Slodicka M; Lesnic D^*; Onyango T T M

来源：Inverse Problems in Science and Engineering, 2010, 18(1): 65-81.

DOI：10.1080/17415970903234273

• boundary element method
• heat conduction
• heat transfer coefficient
• inverse problem

In this article, the determination of the time-dependent heat transfer coefficient, involving nonlinear boundary conditions of the third kind in the one-dimensional transient heat conduction from a non-standard boundary measurement is investigated. For this inverse, nonlinear, ill-posed problem, the existence and uniqueness of the solution are proved. Numerical results are obtained, using the boundary element method, and discussed.

• 出版日期2010