Time-stepping boundary element method applied to \(2-D\) transient heat conduction problems
type: Item
instance of: scholarly article
title: Time-stepping boundary element method applied to \(2-D\) transient heat conduction problems
zbMATH Open document ID: 0817.65075
DOI: 10.1016/0307-904X(94)90142-2
author: Masataka Tanaka
author: Toshiro Matsumoto
author: Qing Feng Yang
published in: Applied Mathematical Modelling
publication date: 1995-08-06T00:00:00Z
review text: A new boundary element method based on time-stepping approximation of the time derivative in the governing differential equation is presented. The reduced differential equation at any time step is transformed into an equivalent boundary integral equation, and it is solved in a step-by-step manner by means of the standard boundary element method. The effectiveness of the proposed method is demonstrated by several examples of two-dimensional transient heat conduction problems in isotropic, homogeneous media. An appropriate time step for a given boundary element mesh is determined using charts of relationship between the diffusion number and the boundary element mesh.
Mathematics Subject Classification ID: 65M20
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 35K05
zbMATH DE Number: 722531
zbMATH Keywords: time-stepping scheme
zbMATH Keywords: boundary element method
zbMATH Keywords: boundary integral equation
zbMATH Keywords: transient heat conduction
reviewed by: Roumen Anguelov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 722531