한국수학사학회지 (Journal for History of Mathematics)
- 제18권4호
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- Pages.49-66
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- 2005
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- 1226-931X(pISSN)
무요소 계산법의 발전과 전개
Development of meshfree particle Methods
- 이진호 (숙명여자대학교 수학통계학부)
- Lee, Jin-Ho (Division of mathematics and statistics, Sookmyung Women's Univ.)
- 발행 : 2005.11.01
초록
유한요소법(Finite Element Methods)은 지난 수십 년 동안 다양한 공학문제를 해석하는 주요 수치해석기법으로서, 지속적으로 연구
Finite element Methods(FEM) have been the primary computational methodologies in science and engineering computations for more than half centuries. One of the main limitations of the finite element approximations is that they need mesh which is an artificial constraint, and they need remeshing to solve in some special problems. The advantages in meshfree Methods is to develop meshfree interpolant schemes that only depends on particles, so they relieve the burden of remeshing and successive mesh generation. In this paper we describe the development of meshfree particle Methods and introduce the numerical schemes for Smoothed Particle hydrodynamics, meshfree Galerkin Methods and meshfree point collocation mehtods. We discusse the advantages and the shortcomings of these Methods, also we verify the applicability and efficiency of Meshfree Particle Methods.
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