1986 Fiscal Year Final Research Report Summary
Finite Difference Method and Finite Element Method on Manifolds, and Their Applications
| Project/Area Number |
60540110
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| Research Category |
Grant-in-Aid for General Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Research Field |
解析学
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| Research Institution | HIROSHIMA UNIVERSITY |
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Principal Investigator |
MIZUMOTO Hisao Hiroshima Univ., Fac. Int. Arts & Sci., Prof., 総合科学部, 教授 (50032917)
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| Co-Investigator(Kenkyū-buntansha) |
SAKUMA Motoyoshi Hiroshima Univ., Fac. Int. Arts & Sci., Prof., 総合科学部, 教授 (10035298)
TASHIRO Yoshihiro Hiroshima Univ., Fac. Int. Arts & Sci., Prof., 総合科学部, 教授 (90032995)
EGUCHI Masaaki Hiroshima Univ., Fac. Int. Arts & Sci., Prof., 総合科学部, 教授 (30037220)
板野 暢之 広島大学, 総合科学部, 教授 (80034544)
MIZUTA Yoshihiro Hiroshima Univ., Fac. Int. Arts & Sci., Assoc. Prof., 総合科学部, 助教授 (00093815)
ITANO Masaaki Hiroshima Univ., Fac. Int. Arts & Sci., Prof. (30037220)
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| Project Period (FY) |
1985 – 1986
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| Keywords | manifold / Riemann surface / differential form / finite element method / finite difference method / periodicity moduli / modulus |
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| Research Abstract |
(1) A method of finite element approximations on a Riemann surface. Our method matches the abstruct definition of a Riemann surface,and also will offer a new technique and high utility in numerical calculation not only for the case of Riemann surfaces but also for the case of plane domains. It is a peculiarity of our method that by means of adopting a finite element approximation on a parametric disk of each critical point of a Riemann surface, approximations of high accuracy is obtained.
(2) Determination of the modulus of quadrilaterals by finite element methods. We establish a method by which a fairly good approximation of the modulus of quadrilaterals on the complex plane is obtained. It is a peculiarity of our method that on a neighborhood of each critical point on the boundary, the same method as (1) is adopted.
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Research Products
(8 results)
