A boundary element method for a multi-dimensional inverse heat conduction problem

作者：Dinh Nho Hao; Phan Xuan Thanh; Lesnic D^*; Johansson B T

来源：International Journal of Computer Mathematics, 2012, 89(11): 1540-1554.

DOI：10.1080/00207160.2012.668891

• inverse heat conduction problem
• ill-posed problem
• boundary element method
• Lipschitz domain
• conjugate gradient method
• Tikhonov regularization

In this paper, we investigate a variational method for a multi-dimensional inverse heat conduction problem in Lipschitz domains. We regularize the problem by using the boundary element method coupled with the conjugate gradient method. We prove the convergence of this scheme with and without Tikhonov regularization. Numerical examples are given to show the efficiency of the scheme.

• 出版日期2012