• Title/Summary/Keyword: finite

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FREE SURFACE FLOW COMPUTATION USING MOMENT-OF-FLUID AND STABILIZED FINITE ELEMENT METHOD (Moment-Of-Fluid (MOF) 방법과 Stabilized Finite Element 방법을 이용한 자유표면유동계산)

  • Ahn, H.T.
    • 한국전산유체공학회:학술대회논문집
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    • 2009.11a
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    • pp.228-230
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    • 2009
  • The moment-of-fluid (MOF) method is a new volume-tracking method that accurately treats evolving material interfaces. Based on the moment data (volume and centroid) for each material, the material interfaces are reconstructed with second-order spatial accuracy in a strictly conservative manner. The MOF method is coupled with a stabilized finite element incompressible Navier-Stokes solver for two fluids, namely water and air. The effectiveness of the MOF method is demonstrated with a free-surface dam-break problem.

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Radiation Analysis of a Finite Microstrip Antenna Structure Using the CG-FFT Method : Volume Formulation (유한한 마이크로스트립 안테나구조에서 CG-FFT 방법을 이용한 복사 해석)

  • 손창우;이철훈김종규조영기
    • Proceedings of the IEEK Conference
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    • 1998.10a
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    • pp.343-346
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    • 1998
  • In this paper a radiation problem for a finite microstrip antenna structure is analyzed. For the analysis of finite structures we utilize the equivalent volume current. Intergral equation for the unknown equivalent volume current induced on a finite microstrip structure is derived and solved by the use of conjugate gradient-fast fourier. transform (CG-FFT) method. Some numerical examples are radiation patterns derived by the equivalent volume current solved by the conjugate gradient-fast fourier transform.

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Analysis of Progressive Fracture in Concrete using Finite Elements with Embedded Discontinuous Line (내부 불연속 요소를 사용한 콘크리트의 파괴진행해석)

  • 송하원;우승민;김형운
    • Proceedings of the Korea Concrete Institute Conference
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    • 1998.10a
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    • pp.450-455
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    • 1998
  • In this paper, finite element with embedded discontinuous line is introduced in order to avoid the difficulties of adding new nodal points along with crack growth in discrete crack model. With the discontinuous element using discontinuous shape function, stiffness matrix of finite element is derived and dual mapping technique for numerical integration is employed. Using the finite element program made with employed algorithms, algorithm is verified and fracture analysis of simple concrete beam is performed.

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ON ROBUST MINIMAX APPROACH UNDER FINITE DISTRIBUTIONS

  • Shevlyakov, Georgiy L.;Lee, Jae-Won;Park, Sung-Wook
    • Communications of the Korean Mathematical Society
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    • v.13 no.3
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    • pp.629-634
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    • 1998
  • As most of distributions appearing in applications are finite but with the unknown domain of finiteness, we propose to use the robust minimax approach for the determination of the boundaries of this domain. The obtained least favorable distribution minimizing Fisher information over the class of the approximately Gaussian finite distributions gives the reasonable sizes of the domain of finiteness and the thresholds of truncation.

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INTUITIONISTIC FUZZY AUTOMATA AND INTUITIONISTIC FUZZY REGULAR EXPRESSIONS

  • Choubey, Alka;K M, Rayi
    • Journal of applied mathematics & informatics
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    • v.27 no.1_2
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    • pp.409-417
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    • 2009
  • A definition of finite automaton (DFA and NDFA) with intuitionistic fuzzy (final) states is proposed. Acceptance of intuitionistic fuzzy regular language by the finite automaton (DFA and NDFA) with intuitionistic fuzzy (final) states are examined. It is found that the finite automaton (DFA and NDFA) with intuitionistic fuzzy (final) states is more suitable for recognizing intuitionistic fuzzy regular language than earlier model. The paper also gives an idea of intuitionistic fuzzy regular expressions through possible definitions.

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THE ORDER OF CONVERGENCE IN THE FINITE ELEMENT METHOD

  • KIM CHANG-GEUN
    • The Pure and Applied Mathematics
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    • v.12 no.2 s.28
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    • pp.153-159
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    • 2005
  • We investigate the error estimates of the h and p versions of the finite element method for an elliptic problems. We present theoretical results showing the p version gives results which are not worse than those obtained by the h version in the finite element method.

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THE CONVERGENCE OF FINITE DIFFERENCE APPROXIMATIONS FOR SINGULAR TWO-POINT BOUNDARY VALUE PROBLEMS

  • Lee, H.Y.;Seong, J.M.;Shin, J.Y.
    • Journal of the Korean Mathematical Society
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    • v.36 no.2
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    • pp.299-316
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    • 1999
  • We consider two finite difference approxiamations to a singular boundary value problem arising in the study of a nonlinear circular membrane under normal pressure. It is shown that the rates of convergence are O(h) and O($h^2$), respectively. An iterative scheme is introduced which converges to the solution of the finite difference equations. Finally the numerical experiments are given

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Temperature distribution & heat transfer of rectangular cross section by the higher-order triangular finite element method (고차 삼각형 유한요소에 의한 구형단면의 온도분포와 열전달)

  • 용호택;서정일;조진호
    • Journal of the korean Society of Automotive Engineers
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    • v.3 no.3
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    • pp.24-29
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    • 1981
  • This paper is studied an efficient temperature distribution and heat transfer of two-dimensional rectangular cross-section by the higher-order triangular finite dynamic element and finite difference. This is achieved by employing a discretization technique based on a recently developed concept of finite dynamic elements, involving higher order dynamic correction terms in the associated stiffness and convection matrices. Numerical solution results of temperature distribution presented herein clearly optimum element and show that FEM10 is the most accurate temperature distribution, but heat transfer and computational effort is the most acquired.

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A CLASSIFICATION OF ELLIPTIC CURVES OVER SOME FINITE FIELDS

  • Park, Hwa-Sin;Park, Joog-Soo;Kim, Daey-Eoul
    • Journal of applied mathematics & informatics
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    • v.8 no.2
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    • pp.591-611
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    • 2001
  • In this paper, we classify elliptic curve by isomorphism classes over some finite fields. We consider finite field as a quotient ring, saying $\mathbb{Z}[i]/{\pi}\mathbb{Z}[i]$ where $\pi$ is a prime element in $\mathbb{Z}[i]$. Here $\mathbb{Z}[i]$ is the ring of Gaussian integers.