| Contents | |
| Chapter 1 | Introduction |
| Related schemes;Contents of this work | |
| Chapter 2 | Integral representation formula for heat transfer |
| Introduction;Integral representation formula;Boundary element method | |
| Chapter 3 | Non-history-dependent convolution scheme |
| Introduction;Green function;Integral equation with degenerate kernal;Convolution scheme | |
| Chapter 4 | Recursive reinitialization scheme |
|
Introduction;Greengard and Strain algorithm;Boundary integral equation;Proposed numerical scheme;Internal value of the temperature using Fourier series |
|
| Chapter 5 | Numerical examples for fixed boundaries |
| Numerical results;CPU-time comparison;Refined approach by adding images | |
| Chapter 6 | Thermal diffusion with moving boundary |
| Introduction;Boundary integral representation;Proposed numerical scheme | |
| Chapter 7 | Numerical examples with moving boundary |
|
Introduction;Numerical examples |
|