Boundary Element Methods for Heat Conduction

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.