Application of the method of fundamental solutions and radial basis functions for inverse heat source problem in case of steady-state

作者：Kolodziej Jan Adam^*; Mierzwiczak Magdalena; Cialkowski Michal

来源：International Communications in Heat and Mass Transfer, 2010, 37(2): 121-124.

DOI：10.1016/j.icheatmasstransfer.2009.09.015

• Method of fundamental solutions
• Radial basis functions
• Inverse problem
• Heat sources
• Poisson equation

The paper deals with the inverse determination of heat sources in steady 2-D heat conduction problem. The problem is described by Poisson equation in which the function of the right hand side is unknown. The identification of the strength of a heat source is given by using the boundary condition and a known value of temperature in chosen points placed inside the domain. For the solution of the inverse problem of identification of the heat source the method of fundamental solution with radial basis functions is proposed. The accurate results have been obtained for five test problems where the analytical solutions were available.

• 出版日期2010-2