Boundary Element Methods for Heat Conduction
With Applications in Non-homogenous Media
Published on 23. December 2002
Book
Mixed media product
264 pages
978-1-85312-771-7 (ISBN)
Description
This monograph represents a contribution to integral equation methods. It provides the formulation of a boundary-only integral equation for field problems governed by variable coefficient partial differential equations. Although the authors concentrate on the heat conduction equation, the method they propose is general and applicable to a variety of engineering field problems.
More details
Series
Language
English
Place of publication
Southampton
United Kingdom
Target group
College/higher education
Professional and scholarly
Illustrations
Ill.
Dimensions
Height: 242 mm
Width: 165 mm
ISBN-13
978-1-85312-771-7 (9781853127717)
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Schweitzer Classification
Content
Chapter 1 Introduction; Chapter 2 Steady-state isotropic formulation BEM formulation for spatially uniform conductivity; Development of a boundary integral equation for spatially varying conductivity; Generalized fundamental solution; Fundamental solution examples and properties; The sifting property and the term; Numerical implementation; Chapter 3 Steady-state anisotropic formulation Generalized boundary integral equation for non-homogeneous anisotropic media; Generalized fundamental solution; Fundamental solution examples and properties; Numerical examples; Chapter 4 Axi-symmetric formulation Standard BEM for axi-symmetric heat conduction; Generalized treatment of axi-symmetric heterogeneous heat conduction; Numerical examples; Chapter 5 Transient formulation The dual-reciprocity method; Radial-basis expansion functions; Numerical example; The Laplace transform method; Chapter 6 Application to non-linear heat conduction Kirchhoff transform; Iterative scheme based on the generalized fundamental solution; Influence-coefficients expansion; Numerical examples; Chapter 7 Application to parameter-estimation in heat conduction The inverse-problem; Optimization methods; Influence coefficients expansion; Numerical examples; Chapter 8 Two-dimensional BEM computer code Quadratic subparametric BEM code; Discontinuous quadratic isoparametric BEM code; Numerical example; Remarks; Chapter 9 Introduction to three-dimensional BEM programming Bilinear subparametric elements; Biquadratic subparametric elements; Influence-coefficients; Element subsegmentation and polar integration. Appendix A: BEM2D_QS program listing Appendex B: BEM2D_QD program listing.