收录:
摘要:
This paper presents a meshless numerical scheme for recovering the time-dependent heat source in general three-dimensional (3D) heat conduction problems. The problem considered is ill-posed and the determination of the unknown heat source is achieved here by using the boundary condition, initial condition and the extra measured data from a fixed point placed inside the domain. The extra measured data are used to guarantee the uniqueness of the solution. The generalized finite difference method (GFDM), a recently-developed meshless method, is then adopted to solve the resulting time-dependent boundary-value problem. In our computations, the second order Crank-Nicolson scheme is employed for the temporal discretization and the proposed GFDM for the spatial discretization. Several benchmark test problems with both smooth and piecewise smooth geometries have been studied to verify the accuracy and efficiency of the proposed method. No need to apply any well-known regularization strategy, the accurate and stable solution could be obtained with a comparatively large level of noise.
关键词:
通讯作者信息:
电子邮件地址:
来源 :
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
ISSN: 0955-7997
年份: 2018
卷: 91
页码: 73-81
3 . 3 0 0
JCR@2022
ESI学科: ENGINEERING;
ESI高被引阀值:156
JCR分区:1
归属院系: