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Author:

Gu, Yan (Gu, Yan.) | Lei, Jun (Lei, Jun.) | Fan, Chia-Ming (Fan, Chia-Ming.) | He, Xiao-Qiao (He, Xiao-Qiao.)

Indexed by:

EI Scopus SCIE

Abstract:

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.

Keyword:

Inverse problems Meshless method Time-dependent heat source Generalized finite difference method Three-dimensional problems

Author Community:

  • [ 1 ] [Gu, Yan]Qingdao Univ, Sch Math & Stat, Qingdao 266071, Peoples R China
  • [ 2 ] [Lei, Jun]Beijing Univ Technol, Dept Engn Mech, Beijing 100124, Peoples R China
  • [ 3 ] [Fan, Chia-Ming]Natl Taiwan Ocean Univ, Dept Harbor & River Engn & Computat, Keelung 20224, Taiwan
  • [ 4 ] [Fan, Chia-Ming]Natl Taiwan Ocean Univ, Simulat Ctr, Keelung 20224, Taiwan
  • [ 5 ] [He, Xiao-Qiao]City Univ Hong Kong, Dept Civil & Architectural Engn, Hong Kong, Hong Kong, Peoples R China

Reprint Author's Address:

  • [Gu, Yan]Qingdao Univ, Sch Math & Stat, Qingdao 266071, Peoples R China;;[Lei, Jun]Beijing Univ Technol, Dept Engn Mech, Beijing 100124, Peoples R China

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Source :

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

ISSN: 0955-7997

Year: 2018

Volume: 91

Page: 73-81

3 . 3 0 0

JCR@2022

ESI Discipline: ENGINEERING;

ESI HC Threshold:156

JCR Journal Grade:1

Cited Count:

WoS CC Cited Count: 32

SCOPUS Cited Count: 38

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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