Compressible Stokes Equations with Discontinuous Boundary Data
- 발행기관 포항공과대학교 일반대학원
- 지도교수 권재룡
- 발행년도 2015
- 학위수여년월 2015. 8
- 학위명 석사
- 학과 및 전공 일반대학원 수학과
- 세부전공 수치해석 및 PDE
- 원문페이지 40
- 실제URI http://www.dcollection.net/handler/postech/000002062154
- 본문언어 영어
- 저작권 포항공과대학교 논문은 저작권에 의해 보호받습니다.
초록/요약
이 논문은 다각형(사각형)에서 불연속 경계 조건을 가진 압축성 스토크스 방정식을 다루었다. 우리는 특정한 속도 벡터 변수와 압력 변수에 대한 정칙성을 얻었다. 우리는 라플라스 문제에 대한 수치적 실험을 하였고 수치적 예제로써 추산된 오차를 확인하였다.
more목차
I Introduction 1
II A priori estimate 5
III The Finite Element Method 13
3.1 Mixed boundary problem···········································································13
3.2 The weak formulation················································································13
3.3 The finite element method for the weak formulation·································14
3.4 Error estimate·····························································································16
IV Numerical experiment 20
V Conclusion 27