A meshless method for reconstructing the heat source and partial initial temperature in heat conduction

作者：Wen, Jin^*

来源：Inverse Problems in Science and Engineering, 2011, 19(7): 1007-1022.

DOI：10.1080/17415977.2011.569711

• ill-posed problem
• the method of fundamental solution
• Tikhonov regularization method
• inverse source problem
• backward heat conduction equation

In this article, we use the method of fundamental solutions to reconstruct the heat source and part of the initial temperature simultaneously in one-dimensional heat conduction problem. This problem is ill-posed, thus a Tikhonov regularization method with generalized cross-validation criterion is applied to obtain a stable numerical solution. Numerical experiments for several examples show that the proposed method is reasonable and feasible.

• 出版日期2011
• 单位兰州大学