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
- 발행연도
- 2018.1
- 수록면
- 623 - 632 (10page)
이용수
초록· 키워드
오류제보하기
In [7, 8] they introduced a new finite element method for ac- curate numerical solutions of Poisson equations with corner singularities. They consider the Poisson equations with homogeneous boundary condi- tions, compute the finite element solutions using standard FEM and use the extraction formula to compute the stress intensity factor(s), then they posed new PDE with a regular solution by imposing the nonhomogeneous boundary condition using the computed stress intensity factor(s), which converges with optimal speed. From the solution they could get an accu- rate solution just by adding the singular part. Their algorithm involves an iteration and the iteration number depends on the acuracy of stress intensity factors, which is usually obtained by extraction formula which use the finite element solutions computed by standard Finite Element Method. In this paper we investigate the dependence of the iteration number on the convergence of stress intensity factors and give a way to reduce the iteration number, together with some numerical experiments.
목차
등록된 정보가 없습니다.
참고문헌 (8)
참고문헌 신청
H. BLUM AND M. DOBROWOLSKI / 1982 / On finite element methods for elliptic equations on domains with corners / Computing 28:53~63
Z. CAI AND S.C. KIM / 2001 / A finite element method using singular functions for the poisson equation: Corner singularities / SIAM J. Numer. Anal. 39:286~299
Z. CAI / 2006 / A finite element method using singular functions for Poisson equations: Mixed boundary conditions / Comput. Methods Appl. Mech. Engrg. 195:2635~2648
P. GRISVARD / 1985 / Elliptic Problems in Nonsmooth Domains
F. HECHT / 2012 / New development in FreeFem++ / J. Numer. Math. 20(3-4):251~265
Z. CAI AND S.C. KIM / 2001 / A finite element method using singular functions for the poisson equation: Corner singularities / SIAM J. Numer. Anal. 39:286~299
Z. CAI / 2006 / A finite element method using singular functions for Poisson equations: Mixed boundary conditions / Comput. Methods Appl. Mech. Engrg. 195:2635~2648
P. GRISVARD / 1985 / Elliptic Problems in Nonsmooth Domains
F. HECHT / 2012 / New development in FreeFem++ / J. Numer. Math. 20(3-4):251~265
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
A FINITE ELEMENT METHOD USING SIF FOR CORNER SINGULARITIES WITH AN NEUMANN BOUNDARY CONDITION
East Asian Mathematical Journal
2017 .01
-
REMARKS ON FINITE ELEMENT METHODS FOR CORNER SINGULARITIES USING SIF
호남수학학술지
2016 .01
-
FINITE ELEMENT SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATION WITH MULTIPLE CONCAVE CORNERS
호남수학학술지
2018 .01
-
The Singularities for Biharmonic Problem with Corner Singularities
East Asian Mathematical Journal
2020 .01
-
A FINITE ELEMENT SOLUTION FOR THE CONSERVATION FORM OF BBM-BURGERS' EQUATION
East Asian Mathematical Journal
2017 .01
-
Local convergence of functional iterations for solving a quadratic matrix equation
대한수학회보
2017 .01
-
Numerical Solutions of Third-Order Boundary Value Problems associated with Draining and Coating Flows
Kyungpook Mathematical Journal
2017 .01
-
ACCELERATION OF MACHINE LEARNING ALGORITHMS BY TCHEBYCHEV ITERATION TECHNIQUE
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2018 .03
-
OPTIMAL SUBPARAMETRIC FINITE ELEMENT METHOD FOR ELLIPTIC PDE OVER CIRCULAR DOMAIN
Proceedings of the Jangjeon Mathematical Society
2018 .01
-
CONVERGENCE THEOREMS FOR SP -ITERATION SCHEME IN A ORDERED HYPERBOLIC METRIC SPACE
Nonlinear Functional Analysis and Applications
2022 .01
-
Common fixed point theorems for complex-valued mappings with applications
한국수학논문집
2022 .06
-
APPROXIMATION OF FIXED POINTS AND THE SOLUTION OF A NONLINEAR INTEGRAL EQUATION
Nonlinear Functional Analysis and Applications
2022 .01
-
FINITE ELEMENT DUAL SINGULAR FUNCTION METHODS FOR HELMHOLTZ AND HEAT EQUATIONS
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2018 .06
-
Finding the natural solution to $f(f(x)) = \exp(x)$
한국수학논문집
2016 .01
-
Investigation of some fixed point theorems in hyperbolic spaces for a three step iteration process
한국수학논문집
2019 .01
-
Two general iteration schemes for multi-valued maps in hyperbolic spaces
대한수학회논문집
2016 .01
-
A MASS LUMPING AND DISTRIBUTING FINITE ELEMENT ALGORITHM FOR MODELING FLOW IN VARIABLY SATURATED POROUS MEDIA
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2016 .09
-
On positive definite solutions of a class of nonlinear matrix equation
대한수학회보
2018 .01
-
New analytic approximate solutions to the generalized regularized long wave equations
대한수학회보
2018 .01
-
Solution formulas for some nonlocal heat equations
대한수학회논문집
2016 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0