Boundary element method for heat conduction : with applications in non-homogeneous media

著者

    • Divo, E. A.
    • Kassab, A. J.

書誌事項

Boundary element method for heat conduction : with applications in non-homogeneous media

by E.A. Divo & A.J. Kassab

（Topics in engineering, v. 44）

WIT, c2003

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注記

Includes bibliographical references

内容説明・目次

内容説明

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.

目次

  • 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.

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