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.23 No.2
- 발행연도
- 2019.6
- 수록면
- 115 - 138 (24page)
이용수
초록· 키워드
오류제보하기
The dual singular function method [DSFM] is a solver for corner sigulaity problem. We already construct DSFM in previous reserch to solve the Stokes equations including one singulairity at each reentrant corner, but we find out a crucial incorrection in the proof of well-posedness and regularity of dual singular function. The goal of this paper is to prove accuracy and well-posdness of DSFM for Stokes equations including two singulairities at each corner. We also introduce new applicable algorithms to slove multi-singulrarity problems in a complicated domain.
목차
ABSTRACT
1. INTRODUCTION
2. THE FINITE ELEMENT DUAL SINGULAR FUNCTION METHOD
3. WELL-POSEDNESS
4. ERROR ESTIMATES
5. SOME OTHER FORMULATIONS OF ALGORITHMS
6. NUMERICAL TEST
REFERENCES
참고문헌 (11)
참고문헌 신청
Z. Cai / 2001 / A finite element method using singular functions for the Poisson equations: corner singularities / SIAM J. Numer. Anal. 39:286~299
Z. Cai / 2001 / Solution methods for the Poisson equation: corner singularities / SIAM J. SCI. COMPut. 23:672~682
J.-H. Pyo / 2015 / A finite element dual singular function method to solve the Stokes equations including corner singularities / International Journal of Numerical Analysis & Modeling 12:516~535
S. C. Kim / 2016 / A finite element method for computing accurate solutions for Poisson equations with corner singularities using the stress intensity factor / Computers & Mathematics with Applications 71:2330~2337
V.A. Kozlov / 2001 / Spectral Problems Associated with Corner Singularities of Solutions to Elliptic Equations / American Mathematical Society
Z. Cai / 2001 / Solution methods for the Poisson equation: corner singularities / SIAM J. SCI. COMPut. 23:672~682
J.-H. Pyo / 2015 / A finite element dual singular function method to solve the Stokes equations including corner singularities / International Journal of Numerical Analysis & Modeling 12:516~535
S. C. Kim / 2016 / A finite element method for computing accurate solutions for Poisson equations with corner singularities using the stress intensity factor / Computers & Mathematics with Applications 71:2330~2337
V.A. Kozlov / 2001 / Spectral Problems Associated with Corner Singularities of Solutions to Elliptic Equations / American Mathematical Society
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
FINITE ELEMENT DUAL SINGULAR FUNCTION METHODS FOR HELMHOLTZ AND HEAT EQUATIONS
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2018 .06
-
FINITE ELEMENT SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATION WITH MULTIPLE CONCAVE CORNERS
호남수학학술지
2018 .01
-
Object Feature Extraction Using Double Rearrangement of the Corner Region
조선자연과학논문집
2019 .01
-
The Singularities for Biharmonic Problem with Corner Singularities
East Asian Mathematical Journal
2020 .01
-
REMARKS ON FINITE ELEMENT METHODS FOR CORNER SINGULARITIES USING SIF
호남수학학술지
2016 .01
-
A FINITE ELEMENT METHOD USING SIF FOR CORNER SINGULARITIES WITH AN NEUMANN BOUNDARY CONDITION
East Asian Mathematical Journal
2017 .01
-
REGULARITY OF 3D NAVIER-STOKES EQUATIONS WITH SPECTRAL DECOMPOSITION
호남수학학술지
2016 .01
-
Navier-Stokes equations with anisotropic regularity in one velocity component
Proceedings of the Jangjeon Mathematical Society
2016 .01
-
On the improved regularity criterion of the solutions to the Navier-Stokes equations
대한수학회논문집
2020 .01
-
A RESERCH ON NONLINEAR (p, q)-DIFFERENCE EQUATION TRANSFORMABLE TO LINEAR EQUATIONS USING (p, q)-DERIVATIVE
Journal of applied mathematics & informatics
2018 .01
-
NON-NEWTONIAN NAVIER-STOKES EQUATIONS OF POWER LAW TYPE IN TWO DIMENSIONS
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2024 .12
-
Sif and Finite Element Solutions for Corner Singularities
East Asian Mathematical Journal
2018 .01
-
A parallel finite element algorithm for simulation of the generalized Stokes problem
대한수학회보
2016 .01
-
An improved global well-posedness result for the modified Zakharov equations in 1-D
대한수학회논문집
2022 .07
-
A POSTERIORI ERROR ESTIMATORS FOR THE STABILIZED LOW-ORDER FINITE ELEMENT DISCRETIZATION OF THE STOKES EQUATIONS BASED ON LOCAL PROBLEMS
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2017 .12
-
Green Functions for Flow Velocity of Stationary Stokes Systems
East Asian Mathematical Journal
2021 .01
-
SPECTRAL LEGENDRE AND CHEBYSHEV APPROXIMATION FOR THE STOKES INTERFACE PROBLEMS
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2017 .09
-
Local regularity criteria of the Navier-Stokes equations with slip boundary conditions
대한수학회지
2016 .01
-
Stabilization of 2D $g$-Navier-Stokes equations
대한수학회논문집
2019 .01
-
A polar representation of a regularity of a dual quaternionic function in Clifford analysis
대한수학회보
2017 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0
UCI(KEPA) : I410-ECN-0101-2019-410-000881493