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
- 한국전산응용수학회 Journal of applied mathematics & informatics Journal of applied mathematics & informatics 제33권 제1호
- 발행연도
- 2015.1
- 수록면
- 33 - 44 (12page)
이용수
초록· 키워드
오류제보하기
The convergence rate of a numerical procedure based on Schwarz Alternating Method(SAM) for solving elliptic boundary value problems depends on the selection of the interface conditions applied on the interior boundaries of the overlapping subdomains. It has been observed that the Robin condition (mixed interface condition), controlled by a parameter, can optimize SAM's convergence rate. In [7], one formulated the multi-parameterized SAM and determined the optimal values of the multi-parameters to produce the best convergence rate for one-dimensional elliptic boundary value problems. Two-dimensional implementation was presented in [8]. In this paper, we present an implementation for three-dimensional problem.
목차
등록된 정보가 없습니다.
참고문헌 (18)
참고문헌 신청
R. Courant / 1962 / Methods of mathematical physics / Willey
M. Dryja / 1989 / An additive Schwarz algorithm for two- and three-dimensional finite element elliptic problems, Domain Decomposition Methods / SIAM :168~172
D. J. Evans. / 1987 / The convergence rate of the Schwarz alternating procedure(iv) : With pseudo-boundary relaxation factor / Intern. J. Computer Math 21:185~203
P.R. Halmos / 1958 / Finite-dimensional Vector Spaces / Van Nostrand
L.-S. Kang / 1989 / Domain decomposition methods and parallel algorithms, Second International Symposium on Domain Decomposition Methods for Partial Differential Equations / SIAM :207~218
M. Dryja / 1989 / An additive Schwarz algorithm for two- and three-dimensional finite element elliptic problems, Domain Decomposition Methods / SIAM :168~172
D. J. Evans. / 1987 / The convergence rate of the Schwarz alternating procedure(iv) : With pseudo-boundary relaxation factor / Intern. J. Computer Math 21:185~203
P.R. Halmos / 1958 / Finite-dimensional Vector Spaces / Van Nostrand
L.-S. Kang / 1989 / Domain decomposition methods and parallel algorithms, Second International Symposium on Domain Decomposition Methods for Partial Differential Equations / SIAM :207~218
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
TWO-LAYER MULTI-PARAMETERIZED SCHWARZ ALTERNATING METHOD FOR 3D-PROBLEM
Journal of applied mathematics & informatics
2016 .01
-
Existence of solutions for elliptic system with nonlinearities under the Dirichlet boundary condition
한국수학논문집
2015 .01
-
Multiplicity of solutions of elliptic system using two critical point theorem
한국수학논문집
2017 .01
-
Results associated with the Schwarz lemma on the boundary
대한수학회논문집
2023 .04
-
THE EXISTENCE OF THE SOLUTION OF ELLIPTIC SYSTEM APPLYING TWO CRITICAL POINT THEOREM
충청수학회지
2018 .01
-
Boundary value problem for a class of the cooperative elliptic system involving critical Sobolev exponents
Proceedings of the Jangjeon Mathematical Society
2015 .01
-
수체 추출을 위한 Geo-SAM 기법의 응용: 국토위성영상 적용 실험
대한원격탐사학회지
2024 .08
-
Local convergence for some third-order iterative methods under weak conditions
대한수학회지
2016 .01
-
On nonlinear elliptic equations with singular lower order term
대한수학회보
2021 .01
-
A weak solution for a class of the elliptic systems with even functional
Advanced Studies in Contemporary Mathematics
2017 .01
-
A note on comparison principle for elliptic obstacle problems with $L^{1}$-data
대한수학회보
2023 .03
-
Duality of weighted sum formulas of alternating multiple $T$-values
대한수학회보
2021 .09
-
Applications of topolological methods to the semilinear biharmonic problem with different powers
한국수학논문집
2017 .01
-
NOTE ON LOCAL BOUNDEDNESS FOR WEAK SOLUTIONS OF NEUMANN PROBLEM FOR SECOND-ORDER ELLIPTIC EQUATIONS
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2015 .06
-
EXISTENCE OF POSITIVE SOLUTIONS TO NONLOCAL BOUNDARY VALUE PROBLEMS WITH BOUNDARY PARAMETER
East Asian Mathematical Journal
2016 .01
-
On a class of noncooperative fourth-order elliptic systems with nonlocal terms and critical growth
대한수학회지
2019 .01
-
NONLINEAR ELLIPTIC PARTIAL DIFFERENTIAL EQUATION WITH A DAMPING TERM
충청수학회지
2017 .01
-
ANALYTIC TREATMENT FOR GENERALIZED (m + 1)-DIMENSIONAL PARTIAL DIFFERENTIAL EQUATIONS
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2018 .12
이 논문의 저자 정보
최근 본 자료
댓글(0)
0