Solving of two-dimensional unsteady inverse heat conduction problems based on boundary element method and sequential function specification method
type: Item
instance of: scholarly article
title: Solving of two-dimensional unsteady inverse heat conduction problems based on boundary element method and sequential function specification method
zbMATH Open document ID: 1405.35067
DOI: 10.1155/2018/6741632
author: Shoubin Wang
author: Yuanzheng Deng
author: Xiaogang Sun
published in: Complexity
publication date: 2018-12-18T00:00:00Z
review text: Summary: The boundary element method (BEM) and sequential function specification method (SFSM) are used to research the inverse problem of boundary heat flux identification in the two-dimensional heat conduction system. The future time step in the SFSM is optimized by introducing the residual error principles to get the more accurate inversion results. For the forward problems, the BEM is used to calculate the required temperature value of discrete point; for the inverse problems, the impacts of different future time steps, measuring point position, and measuring error on the inversion results are discussed. Furthermore, the comparison is made for the optimal future time step obtained by introducing the residual error principle and the inherent future time step. The example analysis shows that the method proposed still has higher accuracy when the measuring error exists or the measuring point position is far away from the boundary heat flux.
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 65M32
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 80A23
zbMATH DE Number: 6995134
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/6741632
OpenAlex ID: W2888868505
cites work: Inversion of thermal conductivity in two-dimensional unsteady-state heat transfer system based on boundary element method and decentralized fuzzy inference
cites work: Solution to two-dimensional steady inverse heat transfer problems with interior heat source based on the conjugate gradient method
cites work: Inverse estimation of heat flux and temperature on nozzle throat-insert inner contour
cites work: Decentralized fuzzy inference method for estimating thermal boundary condition of a heated cylinder normal to a laminar air stream
cites work: A modified sequential approach for solving inverse heat conduction problems
cites work: Filter digital form of two future temperature methods for the inverse heat conduction: A spectral comparison
cites work: Identification of the thermal conductivity and heat capacity in unsteady nonlinear heat conduction problems using the boundary element method
cites work: Q3178398
cites work: Numerical methods for solving a boundary-value inverse heat conduction problem
cites work: A quasi-residual principle in regularization for a common solution of a system of nonlinear monotone ill-posed equations
Wikidata QID: Q129332279
description: scientific article; zbMATH DE number 6995134