| Contents | |
| 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 |
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Standard BEM for axi-symmetric heat conduction; Generalized treatment of axi-symmetric heterogeneous heat conduction; Numerical examples |
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| 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 |
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The inverse-problem; Optimization methods; Influence-coefficients expansion; Numerical examples |
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| Chapter 8 | Two-dimensional BEM computer code |
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Quadratic subparametric BEM code; Discontinuous quadratic isoparametric BEM code; Numerical example; Remarks |
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| Chapter 7 | Introduction to three-dimensional BEM programming |
| Bilinear subparametric elements; Biquadratic subparametric elements; Influence-coefficients; Element subsegmentation and polar integration | |