Transient Non-Linear Heat Conduction Solution by a Dual Reciprocity Boundary Element Method With an Effective Posteriori Error Estimator | Zendy

Eduardo Divo | Zendy; Alain J. Kassab | Zendy

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Transient Non-Linear Heat Conduction Solution by a Dual Reciprocity Boundary Element Method With an Effective Posteriori Error Estimator

Author(s) -

Eduardo Divo,

Alain J. Kassab

Publication year - 2004

Publication title -

scholarly commons (embry–riddle aeronautical university)

Language(s) - English

Resource type - Conference proceedings

DOI - 10.1115/imece2004-59262

Subject(s) - estimator , reciprocity (cultural anthropology) , thermal conduction , a priori and a posteriori , thermal diffusivity , boundary element method , transient (computer programming) , mathematics , lagging , finite element method , mathematical optimization , mathematical analysis , computer science , physics , thermodynamics , statistics , psychology , social psychology , philosophy , epistemology , operating system

A Dual Reciprocity Boundary Element Method is formulated to solve non-linear heat conduction problems. The approach is based on using the Kirchhoff transform along with lagging of the effective non-linear thermal diffusivity. A posteriori error estimate is used to provide effective estimates of the temporal and spatial error. A numerical example is used to demonstrate the approach.Copyright © 2004 by ASME

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