Convection diffusion 방정식의 수치해법
Numerical Methods of Convection Diffusion Equations
- 주제(키워드) convection diffusion equation
- 발행기관 아주대학교
- 발행년도 2009
- 학위수여년월 2009. 2
- 학위명 석사
- 학과 및 전공 일반대학원 수학과
- 실제URI http://www.dcollection.net/handler/ajou/000000009877
- 본문언어 한국어
- 저작권 아주대학교 논문은 저작권에 의해 보호받습니다.
목차
1 Introduction 1
2 Convection Diffusion Equations 4
3 Finite Element Methods 6
3.1 Standard Galerkin Method . . . . . . . . . . . . . . . . . . 7
3.2 Streamline Diffusion Method . . . . . . . . . . . . . . . . . 8
3.3 Upwind Finite Element Method . . . . . . . . . . . . . . . . 9
3.4 Biconjugate Gradient Method . . . . . . . . . . . . . . . . . 11
4 Numerical experiments 13
4.1 Standard Galerkin Method . . . . . . . . . . . . . . . . . . 13
4.2 Streamline Diffusion Method . . . . . . . . . . . . . . . . . 16
4.3 Upwind Finite Element Method . . . . . . . . . . . . . . . . 19
4.4 Future works . . . . . . . . . . . . . . . . . . . . . . . . . . 22