지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국산업응용수학회 JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS Journal of the Korean Society for Industrial and Applied Mathematics Vol.13 No.2
- 발행연도
- 2009.6
- 수록면
- 141 - 159 (19page)
이용수
초록· 키워드
오류제보하기
In this article, we consider a weighted CVT-based reduced-order modelling for Burgers equation. Brief review of the CVT (centroidal Voronoi tessellation) approaches to reduced-order bases are provided. In CVT-reduced order modelling, we start with a snapshot set just as is done in a POD (Proper Orthogonal Decomposition)-based setting. So far, the CVT was researched with uniform density (p(y) = 1) to determine the basis elements for the approximating subspaces. Here, we shall investigate the technique of CVT with nonuniform density as a procedure to determine the basis elements for the approximating subspaces. Some numerical experiments including comparison of two CVT (CVT-uniform and CVT-nonuniform)-based algorithm with numerical results obtained from FEM(finite element method) and POD-based algorithm are reported.
목차
ABSTRACT
1. INTRODUCTION
2. CENTROIDAL VORONOI TESSELLATION BASED MODEL REDUCTION
3. CVT-BASED MODEL REDUCTION FOR THE BURGERS EQUATION
4. COMPUTATIONAL EXPERIMENTS
5. CONCLUSION
REFERENCES
참고문헌 (0)
참고문헌 신청함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
DISTRIBUTED FEEDBACK CONTROL OF THE BURGERS EQUATION BY A REDUCED-ORDER APPROACH USING WEIGHTED CENTROIDAL VORONOI TESSELLATION
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2009 .12
-
Reduced-Order Based Distributed Feedback Control of the Benjamin-Bona-Mahony-Burgers Equation
East Asian Mathematical Journal
2018 .01
-
Centroidal Voronoi Tessellation-Based Reduced-Order Modeling of Navier-Stokes Equations
한국전산응용수학회 학술발표회
2003 .01
-
Evaluation of Control Variable Transform (CVT) for Background Error Covariance in A Shallow Water System
한국기상학회 학술대회 논문집
2013 .04
-
A REDUCED-ORDER MODELLING FOR ROSENAU-RLW EQUATION WITH B-SPLINE GALERKIN FINITE ELEMENT METHOD
충청수학회지
2019 .01
-
NUMERICAL SOLUTIONS OF BURGERS EQUATION BY REDUCED-ORDER MODELING BASED ON PSEUDO-SPECTRAL COLLOCATION METHOD
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2015 .06
-
A CHARACTERISTICS-MIXED FINITE ELEMENT METHOD FOR BURGERS' EQUATION
Journal of applied mathematics & computing
2004 .01
-
A NEW MIXED FINITE ELEMENT METHOD FOR BURGERS' EQUATION
Journal of applied mathematics & computing
2007 .01
-
Reduced Order Modeling With Pseudospectral Element Method On Burgers’ Equation
한국산업응용수학회 학술대회 논문집
2009 .11
-
Control of moments at t = ∞ and higher order asymptotics in the Burgers equation
한국산업응용수학회 학술대회 논문집
2009 .05
-
A FINITE ELEMENT SOLUTION FOR THE CONSERVATION FORM OF BBM-BURGERS' EQUATION
East Asian Mathematical Journal
2017 .01
-
NUMERICAL SOLUTION OF ONE-DIMENSIONAL BURGERS’ EQUATION USING REPRODUCING KERNEL FUNCTION
한국산업응용수학회 학술대회 논문집
2009 .05
-
MULTI-LEVEL ADAPTIVE SOLUTIONS TO INITIAL-VALUE PROBLEMS
The Korean journal of computational & applied mathematics, 한국전산응용수학술지 Series A
2000 .01
-
PROPER ORTHOGONAL DECOMPOSITION OF DISCONTINUOUS SOLUTIONS WITH THE GEGENBAUER POST-PROCESSING
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2019 .12
-
Reducing subspaces of weighted shifts with operator weights
대한수학회보
2016 .01
-
A New Time Stepping Method for Solving One Dimensional Burgers’ Equations
Kyungpook Mathematical Journal
2012 .01
-
QUADRATIC B-SPLINE FINITE ELEMENT METHOD FOR THE BENJAMIN-BONA-MAHONY-BURGERS EQUATION
East Asian Mathematical Journal
2013 .01
-
SPARSE GRID STOCHASTIC COLLOCATION METHOD FOR STOCHASTIC BURGERS EQUATION
대한수학회지
2017 .01
-
CUBIC B-SPLINE FINITE ELEMENT METHOD FOR THE ROSENAU-BURGERS EQUATION
East Asian Mathematical Journal
2017 .01
-
A FINITE DIFFERENCE SCHEME FOR RLW-BURGERS EQUATION
Journal of applied mathematics & informatics
2008 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0
UCI(KEPA) : I410-ECN-0101-2009-410-018463711