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A POSTERIORI L(L2)-ERROR ESTIMATES OF SEMIDISCRETE MIXED FINITE ELEMENT METHODS FOR HYPERBOLIC OPTIMAL CONTROL PROBLEMS

  • Hou, Tianliang
    • Bulletin of the Korean Mathematical Society
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    • v.50 no.1
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    • pp.321-341
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    • 2013
  • In this paper, we discuss the a posteriori error estimates of the semidiscrete mixed finite element methods for quadratic optimal control problems governed by linear hyperbolic equations. The state and the co-state are discretized by the order $k$ Raviart-Thomas mixed finite element spaces and the control is approximated by piecewise polynomials of order $k(k{\geq}0)$. Using mixed elliptic reconstruction method, a posterior $L^{\infty}(L^2)$-error estimates for both the state and the control approximation are derived. Such estimates, which are apparently not available in the literature, are an important step towards developing reliable adaptive mixed finite element approximation schemes for the control problem.

THE EFFECTS OF sAMUTANG AND Samultang-Mixed-Kamibulhwangumjungkisan on the recovery of exercise induced fatigue (사물탕 및 사물탕합가비불환금정기산이 흰 주의 운동 피로 회복에 미치는 경향)

  • 박연용;박동일
    • Journal of Life Science
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    • v.8 no.3
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    • pp.241-248
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    • 1998
  • In an attempt to investigate the effects of Samultang, Samultang-Mixed-Kamibulhwangumjungkisan extract on the ability of rat to recover from exhaustion after severe exercise. The results are as follows 1. Lactate was found to show remarkable decrease in the rat with administration of Samultang-Mixed-Kamibulhwangumjungkisan group at 120 min (p<0.001). 2. LDH showed elevation in the rat with administration of Samultang-Mixed-Kamibulhwangumjungkisan group 120 min.(p<0.05) 3. Glucose showed elevation in the rat with administration of Samultang-Mixed-Kamibulhwangumjungkisan group at 120 min.(p<0.05) 4. FFA showed decrease in the rat with adminstration of Samultang-Mixed-Kamibulhwangumjungkisan hroup at 120min.(p<0.05) From these results, we recoginized that the effects of Samul-tangmixedKamiBulhwangumjungkisan group is better than Samultang group on the recovery of exercise induced fatigue.

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Mixed H_2/H_{\infty}$ controller design algorithm for robust performance optimization (견실성능 최적화를 위한 혼합 H_2/H_{\infty}$ 제어기설계 알고리즘)

  • 김종해;방경호;박홍배
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.33B no.5
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    • pp.10-16
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    • 1996
  • In this paper, we consider a generalized mixed H_2/H_{\infty}$ output feedback problem. It is finding an internally stabilizing controller that minimizes a mixed $H_{2}$/ $H_{performance}$ measure. We show that a generalized mixed H_2/H_{\infty}$ system with two exogenous inputs and two controlled signals is transformed into auxiliary system with two exogenous inputs and one controlled signal. The two systems have equivalent performance. Therefore, a complete solution of generalized mixed H_2/H_{\infty}$ output feedback problem is achieved by existing results of mixed H_2/H_{\infty}$ control theory.

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A Study on the Change of Volume and Temperature in Aqueous Binary Solvent with Ethanol (물과 에탄을 이성분 혼합용매 계에서 부피 및 온도 변화에 관한 연구)

  • 김용권;임귀택
    • Journal of Korean Elementary Science Education
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    • v.20 no.1
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    • pp.139-147
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    • 2001
  • This paper is to study on the change of volume and temperature of the solution which mixed water with ethanol. And its main purpose is to examine closely how the volume changes, and to find the method to maximize the change of the volume. The summaries for results of the study are; First, we were known that water and ethanol are homogeneously mixed. But two solvents does not mix homogeneously by different specific gravity at early stages. Second, we could see that the volume changed large at homogeneous mixed water with ethanol by stirrer, the change of volume is the largest value when water mixed with ethanol in the ratio of one to one. Third, when water mixed with ethanol in the ratio of one to one, the change of temperature is very large by activated hydrogen bond. We conclude that it is the best result when ratio of water and ethanol is one to one and the solution is well mixed.

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Primaquine Administration after Falciparum Malaria Treatment in Malaria Hypoendemic Areas with High Incidence of Falciparum and Vivax Mixed Infection: Pros and Cons

  • Wilairatana, Polrat;Tangpukdee, Noppadon;Kano, Shigeyuki;Krudsood, Srivicha
    • Parasites, Hosts and Diseases
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    • v.48 no.2
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    • pp.175-177
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    • 2010
  • Mixed infections of Plasmodium falciparum and Plasmodium vivax is high (~ 30%) in some malaria hypoendemic areas where the patients present with P. falciparum malaria diagnosed by microscopy. Conventional treatment of P. falciparum with concurrent chloroquine and 14 days of primaquine for all falciparum malaria patients may be useful in areas where mixed falciparum and vivax infections are high and common and also with mild or moderate G6PD deficiency in the population even with or without subpatent vivax mixed infection. It will be possibly cost-effective to reduce subsequent vivax illness if the patients have mixed vivax infection. Further study to prove this hypothesis may be warranted.

Mode Decomposition of Three-Dimensional Mixed-Mode Cracks using the Solution for Penny-Shaped Crack

  • Kim, Young-Jong;Cho, Duk-Sang
    • International Journal of Precision Engineering and Manufacturing
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    • v.2 no.3
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    • pp.11-18
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    • 2001
  • A simple and convenient method of analysis for obtaining the individual stress intensity factors in a three-dimensional mixed mode crack is proposed. The procedures presented here are based on the path independence of J integral and mutual or two-state conservation integral, which involves two elastic fields. The problem is reduced to the determination of mixed mode stress intensity factor solutions in terms of conservation integrals involving known auxiliary solutions. Some numerical examples are presented to investigate the effectiveness and applicability of the method for a three-dimensional penny-shaped crack problem under mixed mode. This procedure is applicable to a three-dimensional mixed mode curved crack.

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A Study of Field Construction Process Analysis and Economic evaluation of Ready-mixed Shotcrete (레디믹스트 숏크리트의 현장 시공프로세스 분석 및 경제성 평가)

  • Kim, Dong-Min;Ma, Sang-Joon
    • Proceedings of the Korean Geotechical Society Conference
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    • 2010.09a
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    • pp.1322-1327
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    • 2010
  • Ready-mixed shotcrete mixed with high quality materials and can be controled shotcrete quality is producted in plants and transported to construction fields, so do not need a field batch plant. In this study, the field construction system that can be applied Ready-mixed Shotcrete to construction fields was proposed, and the all-in-one silo that was the key component of the field construction system was design. It was performed to evaluate the constructability that the field construction process analysis in case of applying a field batch plant and the all-in-one silo, the cost analysis of the material production and transport in a road tunnel was also performed to evaluate the economic feasibility of Ready-mixed shotcret.

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One-Dimensional Model for Simulations of Atmospheric Mixed Layer : Application to Dukyang Bay Area (대기혼합층 모사를 위한 1차원 수치모형 : 득량만에서의 적용)

  • Kim, Yoo-Keun;Moon, Sung-Euii;Ahn, Joong-Bae
    • Journal of Environmental Science International
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    • v.6 no.5
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    • pp.425-435
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    • 1997
  • One-dimensional thermodynamic mixed layer model to stimulate variations of meteorological variables wish the planetary boundary layer has been developed In this study. This model consists of 2 prognostic equations, which can predict the variations of potential temperature and mixing ratio and several diagnostic equations. Physics within the surface and mixed layers has been considered seperately in the model. For the variations of the model, Its result has been analysed and compared with observated data over Ole Dukyang Bay for one day, July 23, 1992. The simulated height of mixed layer is comparable to the observation and the variations of temperature and mixing ratio in the mixed layer are also reasonably simulated. Those Imply that the model responds appropriately with given boundary conditions In sprite of Its simplilfied assumptions applied to the model and insufficient boundary and Initial conditions.

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MOTIVICITY OF THE MIXED HODGE STRUCTURE OF SOME DEGENERATIONS OF CURVES

  • Chae, Hi-Joon;Jun, Byung-Heup
    • Bulletin of the Korean Mathematical Society
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    • v.47 no.3
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    • pp.593-610
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    • 2010
  • We consider a degeneration of genus 2 curves, which is opposite to maximal degeneration in a sense. Such a degeneration of curves yields a variation of mixed Hodge structure with monodromy weight filtration. The mixed Hodge structure at each fibre, which is different from the limit mixed Hodge structure of Schmid and Steenbrink, can be realized as $H^1$ of a noncompact singular elliptic curve. We also prove that the pull back of the above variation of mixed Hodge structure to a double cover of the base space comes from a family of noncompact singular elliptic curves.

Engineering Properties of Fiber Mixed Soil (섬유 혼합토의 공학적 특성)

  • 장병욱;박영곤
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.44 no.1
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    • pp.116-124
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    • 2002
  • Natural resources fur the construction materials such as good soil, sand, and coarse aggregates have been encountered to be short due to excessive use by human. Even though some soil has been found to be unsuitable for construction materials, soil with reinforcement can naturally be an answer to these alternatives. According to recently published papers on fiber mixed soil, fiber mixed with soil can improve shear strength, compressive strength and post-peak load strength retention. In this study, a series of tests were performed to clarify the characteristics of fiber mixed soil and to give basic data for design and construction and their engineering properties, that is, unconfined compressive strength, splitting tensile strength, shear strength, crack by drying, freeze-thaw, creep and Poisson\`s ratio, were investigated and analyzed. It has been shown that fiber mixed soil is one of good alternatives fur the civil and building construction materials.