| Abstract (In English) | 第1-11页 |
| Abstract (In Chinese) | 第11-15页 |
| Chapter 1 Finite volume element methods and analysis along characteristics for the one dimensional cubic semiconductor device simulation with heat conduction | 第15-34页 |
| ·Introduction | 第15-18页 |
| ·The construction of the scheme | 第18-20页 |
| ·Convergence analysis | 第20-32页 |
| ·Definitions and lemmas | 第20-22页 |
| ·Error estimate in H~1 norm | 第22-28页 |
| ·Error estimate in L~2 norm | 第28-32页 |
| ·Numerical example | 第32-34页 |
| Chapter 2 Finite volume element methods and analysis along characteristics for the two dimensional semiconductor device simulation with heat conduction | 第34-57页 |
| ·Introduction | 第34-35页 |
| ·Linear finite volume element methods and analysis along characteristics for the semiconductor device simulation | 第35-45页 |
| ·Preliminaries | 第35-37页 |
| ·The construction of the scheme | 第37-38页 |
| ·Convergence analysis | 第38-45页 |
| ·Quadratic finite volume element methods and analysis along characteristics for the semiconductor device simulation with heat conduction | 第45-57页 |
| ·The construction of the scheme | 第45-49页 |
| ·Convergence analysis | 第49-55页 |
| ·Numerical example | 第55-57页 |
| Chapter 3 Upwind finite volume element methods for the semiconductor device simulation with heat conduction | 第57-83页 |
| ·Introduction | 第57-58页 |
| ·Upwind linear finite volume element methods for the semiconductor device simulation with heat conduction | 第58-69页 |
| ·Preliminaries | 第58-59页 |
| ·The construction of the scheme | 第59-61页 |
| ·Convergence analysis | 第61-68页 |
| ·Numerical example | 第68-69页 |
| ·High-order upwind finite volume element methods for the semiconductor device simulation with heat conduction | 第69-83页 |
| ·The construction of the scheme | 第69-74页 |
| ·Convergence analysis | 第74-82页 |
| ·Concluding remarks | 第82-83页 |
| Chapter 4 A Galerkin-MMOCAA scheme for a semiconductor device simulation | 第83-92页 |
| ·Introduction | 第83-84页 |
| ·The construction of the scheme | 第84-87页 |
| ·Convergence analysis | 第87-92页 |
| Bibliography | 第92-97页 |
| Acknowledgment | 第97-98页 |
| List of publications | 第98-99页 |
| The brief introduction of the author (in Chinese) | 第99-100页 |
| 学位论文评阅及答辩情况表 | 第100页 |
