• Complex
  • Title
  • Keyword
  • Abstract
  • Scholars
  • Journal
  • ISSN
  • Conference
成果搜索

author:

Ku, Cheng-Yu (Ku, Cheng-Yu.) [1] | Liu, Chih-Yu (Liu, Chih-Yu.) [2] | Xiao, Jing-En (Xiao, Jing-En.) [3] | Huang, Wei-Po (Huang, Wei-Po.) [4] | Su, Yan (Su, Yan.) [5] (Scholars:苏燕)

Indexed by:

Scopus SCIE

Abstract:

In this article, a novel spacetime collocation Trefftz method for solving the inverse heat conduction problem is presented. This pioneering work is based on the spacetime collocation Trefftz method; the method operates by collocating the boundary points in the spacetime coordinate system. In the spacetime domain, the initial and boundary conditions are both regarded as boundary conditions on the spacetime domain boundary. We may therefore rewrite an initial value problem (such as a heat conduction problem) as a boundary value problem. Hence, the spacetime collocation Trefftz method is adopted to solve the inverse heat conduction problem by approximating numerical solutions using Trefftz base functions satisfying the governing equation. The validity of the proposed method is established for a number of test problems. We compared the accuracy of the proposed method with that of the Trefftz method based on exponential basis functions. Results demonstrate that the proposed method obtains highly accurate numerical solutions and that the boundary data on the inaccessible boundary can be recovered even if the accessible data are specified at only one-fourth of the overall spacetime boundary.

Keyword:

collocation Trefftz method inverse boundary value problem inverse heat conduction problem numerical solutions Spacetime

Community:

  • [ 1 ] [Ku, Cheng-Yu]Natl Taiwan Ocean Univ, Dept Harbor & River Engn, Keelung 20224, Taiwan
  • [ 2 ] [Liu, Chih-Yu]Natl Taiwan Ocean Univ, Dept Harbor & River Engn, Keelung 20224, Taiwan
  • [ 3 ] [Xiao, Jing-En]Natl Taiwan Ocean Univ, Dept Harbor & River Engn, Keelung 20224, Taiwan
  • [ 4 ] [Huang, Wei-Po]Natl Taiwan Ocean Univ, Dept Harbor & River Engn, Keelung 20224, Taiwan
  • [ 5 ] [Ku, Cheng-Yu]Natl Taiwan Ocean Univ, Ctr Excellence Ocean Engn, Keelung, Taiwan
  • [ 6 ] [Huang, Wei-Po]Natl Taiwan Ocean Univ, Ctr Excellence Ocean Engn, Keelung, Taiwan
  • [ 7 ] [Su, Yan]Fuzhou Univ, Coll Civil Engn, Dept Water Resource & Harbor Engn, Fuzhou, Fujian, Peoples R China

Reprint 's Address:

  • [Liu, Chih-Yu]Natl Taiwan Ocean Univ, Dept Harbor & River Engn, Keelung 20224, Taiwan

Show more details

Related Keywords:

Source :

ADVANCES IN MECHANICAL ENGINEERING

ISSN: 1687-8132

Year: 2019

Issue: 7

Volume: 11

1 . 1 6 1

JCR@2019

1 . 9 0 0

JCR@2023

ESI Discipline: ENGINEERING;

ESI HC Threshold:150

JCR Journal Grade:4

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 8

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

Online/Total:107/10099931
Address:FZU Library(No.2 Xuyuan Road, Fuzhou, Fujian, PRC Post Code:350116) Contact Us:0591-22865326
Copyright:FZU Library Technical Support:Beijing Aegean Software Co., Ltd. 闽ICP备05005463号-1