• Title/Summary/Keyword: Convergence Characteristic

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Effects of Characteristic Condition Number on Convergence in Calculating Low Mach Number Flows, I : Euler Equations (저속 유동 계산의 수렴성에 미치는 특성 조건수의 영향 I : 오일러 방정식)

  • Lee, Sang-Hyeon
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.36 no.2
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    • pp.115-122
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    • 2008
  • The effects of characteristic condition number on the convergence of preconditioned Euler equations were investigated. The two-dimensional preconditioned Euler equations adopting Choi and Merkle's preconditioning and the temperature preconditioning are considered. Preconditioned Roe's FDS scheme was adopted for spatial discretization and preconditioned LU-SGS scheme was used for time integration. It is shown that the convergence characteristics of the Euler equations are strongly affected by the characteristic condition number, and there is an optimal characteristic condition number for a problem. The optimal characteristic condition numbers for the Choi and Merkle's preconditioning and temperature preconditioning are different.

AN EXTRAPOLATED CRANK-NICOLSON CHARACTERISTIC FINITE ELEMENT METHOD FOR SOBOLEV EQUATIONS

  • Ohm, Mi Ray;Shin, Jun Yong
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.4
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    • pp.1409-1419
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    • 2017
  • We introduce an extrapolated Crank-Nicolson characteristic finite element method to approximate solutions of a convection dominated Sobolev equation. We obtain the higher order of convergence in both the spatial direction and the temporal direction in $L^2$ normed space for the extrapolated Crank-Nicolson characteristic finite element method.

A CRANK-NICOLSON CHARACTERISTIC FINITE ELEMENT METHOD FOR NONLINEAR SOBOLEV EQUATIONS

  • Ohm, Mi Ray;Shin, Jun Yong
    • East Asian mathematical journal
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    • v.33 no.3
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    • pp.295-308
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    • 2017
  • We introduce a Crank-Nicolson characteristic finite element method to construct approximate solutions of a nonlinear Sobolev equation with a convection term. And for the Crank-Nicolson characteristic finite element method, we obtain the higher order of convergence in the temporal direction and in the spatial direction in $L^2$ normed space.

Effects of Characteristic Condition Number on Convergence in Calculating Low Mach Number Flows, II : Navier-Stokes Equations (저속 유동 계산의 수렴성에 미치는 특성 조건수의 영향 II : 나비어스톡스 방정식)

  • Lee, Sang-Hyeon
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.36 no.2
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    • pp.123-130
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    • 2008
  • The effects of characteristic condition number on the convergence of preconditioned Navier-Stokes equations were investigated. The two-dimensional preconditioned Navier-Stokes adopting Choi and Merkle's preconditioning and the temperature preconditioning are considered. Preconditioned Roe's FDS scheme was adopted for spatial discretization and preconditioned LU-SGS scheme was used for time integration. It is shown that the convergence characteristics of the Navier-Stokes equations are strongly affected by the characteristic condition number. Also it is shown that the optimal characteristic condition numbers for viscous flows are larger than that in inviscid flows.

A Study for Parking Characteristic of Parking Operation Method (주차장 운영방식에 따른 주차특성 분석)

  • Jung, Ki-Soo;Lee, Young-Woo
    • Journal of the Korean Society of Industry Convergence
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    • v.13 no.1
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    • pp.5-13
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    • 2010
  • Industrialization and urbanization occurred-traffic delay, traffic accident and parking problem etc.-variety of transportation problems. Parking problem is one of the transportation problem then transportation engineers would get involved in trying to solve parking problem. A way to overcome a variety of parking problems needs preliminary data for conditions of parking but it lacks the preliminary data to do so. Thus this study analyzed a characteristic of a parking through a field survey for parking in Daegu Metropolitan City. This study analyzed parking characteristic of parking operation method. This study result reveals difference between a toll parking and a no charge parking characteristic. Thus a close examination for a toll parking characteristic and a no charge parking characteristic is a prerequisite for a rational parking policy.

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A Study for Communication Mode of Bus Information System (도시별·용도지역별 주차특성 분석)

  • Lee, Young-Woo
    • Journal of the Korean Society of Industry Convergence
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    • v.11 no.3
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    • pp.113-120
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    • 2008
  • Rapid urbanization occurred a variety of transportation problems. Parking problem is one of the most problems of transportation problem then transportation engineers would get involved in trying to solve parking problem. A way to overcome a variety of parking problems needs preliminary data for conditions of parking but it lacks the preliminary data to do so. Thus this study analyzed a characteristic of a parking through a field survey for parking in Daegu Metropolitan City and Ulsan Metropolitan City. This study analyzed parking turnover, parking use ratio and parking basic unit for characteristic of a parking of each use districts and each cities. This study result reveals difference between the use districts' parking characteristic and cities' parking characteristic. Thus a close examination for use districts' parking characteristic and cities' parking characteristic is a prerequisite for a rational parking policy.

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Channel Equalization Characteristic of Lattice Filter in OFDM Signal (Lattice 필터에 의한 OFDM 신호의 채널 등화 특성)

  • 조상현;이우재;신위재;주창복
    • Proceedings of the Korea Institute of Convergence Signal Processing
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    • 2001.06a
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    • pp.45-48
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    • 2001
  • In this paper, the characteristic of the equalizer using Lattice filter was investigated in channel ISI (Inter-Symbol Interference) in OFDM (orthogonal frequency division multiplexing) system. The equalizer using lattice filter has more fast convergence and little equalization error characteristic in two number of tap by orthogonal effect of each tap than another equalizers. The filter coefficient convergency and static BER (bit error ratio) characteristic was analysed by computer simulation. In this paper, it is shown that the equalizer using lattice filter has the better performance than a equalizer which makes use of another equalization method.

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AN EXTRAPOLATED HIGHER ORDER CHARACTERISTIC FINITE ELEMENT METHOD FOR SOBOLEV EQUATIONS

  • Ohm, Mi Ray;Shin, Jun Yong
    • East Asian mathematical journal
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    • v.33 no.5
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    • pp.511-525
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    • 2017
  • We introduce an extrapolated higher order characteristic finite element method to construct approximate solutions of a Sobolev equation with a convection term. The higher order of convergence in both the temporal direction and the spatial direction in $L^2$ normed space is established and some computational results to support our theoretical results are presented.

AN EXTRAPOLATED HIGHER ORDER CHARACTERISTIC FINITE ELEMENT METHOD FOR NONLINEAR SOBOLEV EQUATIONS

  • Ohm, Mi Ray;Shin, Jun Yong
    • East Asian mathematical journal
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    • v.34 no.5
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    • pp.601-614
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    • 2018
  • In this paper, we introduce an extrapolated higher order characteristic finite element method to approximate solutions of nonlinear Sobolev equations with a convection term and we establish the higher order of convergence in the temporal and the spatial directions with respect to $L^2$ norm.

AN EXTRAPOLATED CRANK-NICOLSON CHARACTERISTIC FINITE ELEMENT METHOD FOR NONLINEAR SOBOLEV EQUATIONS

  • OHM, MI RAY;SHIN, JUN YONG
    • Journal of applied mathematics & informatics
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    • v.36 no.3_4
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    • pp.257-270
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    • 2018
  • An extrapolated Crank-Nicolson characteristic finite element method is introduced for approximate solutions of nonlinear Sobolev equations with a convection term. And we obtain the higher order of convergence for approximate solutions in the temporal and the spatial directions with respect to $L^2$ norm.