• 제목/요약/키워드: Trapezoidal rule

검색결과 78건 처리시간 0.021초

Meshfree consolidation analysis of saturated porous media with stabilized conforming nodal integration formulation

  • Wang, Dongdong;Xie, Pinkang;Lu, Hongsheng
    • Interaction and multiscale mechanics
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    • 제6권2호
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    • pp.107-125
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    • 2013
  • A strain smoothing meshfree formulation with stabilized conforming nodal integration is presented for modeling the consolidation process in saturated porous media. In the present method, nodal strain smoothing is consistently introduced into the meshfree approximation of strain and pore pressure gradient variables associated with the saturated porous media. Meanwhile, in order to achieve a consistent numerical implementation, a smoothing approximation of the meshfree shape function within a nodal representative domain is also proposed in the stiffness construction. The resulting discrete system of equations is all expressed in smoothed nodal measures that are very efficient for numerical evaluation. Subsequently the space-time fully discrete equations are further established by the generalized trapezoidal rule for time integration. The effectiveness of the proposed meshfree consolidation analysis method is systematically illustrated by several benchmark problems.

Romberg 적분법을 위한 Systolic Array (Romberg's Integration Using a Systolic Array)

  • 박덕원
    • 한국컴퓨터정보학회논문지
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    • 제3권4호
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    • pp.55-62
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    • 1998
  • 이 논문은 수치해석에서 적분값을 구하는데 이용되는 Romberg 적분법이 많은 계산량으로 인하여 소프트웨어적인 방법으로는 처리 속도가 떨어지므로 수치처리를 위한 툴 키트를 사용시 처리속도가 떨어진다. 그래서 이 논문에서는 시스토릭어레이를 이용하여 Romberg 적분법에 적분값을 구하는 새로운 하드웨어를 제안하였다. 이 새로운 하드웨어는Romberg 적분법이 2단계로 나누어져있어서 2단계의 시스토릭어레이로 설계를 하였다. 첫번째 단계는 사다리꼴 적분법에 의해서 근사치를 구하고, 두 번째는 단계는 구해진 적분값을수렴속도도 빠르고 근사 값을 정확하게 하기 위해서 오차의 위수를 높여 가는 방법에 많이사용하는 Richardson의 외삽법을 적용하여 적분값을 구하는 것이다.

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UNCONDITIONAL STABILITY AND CONVERGENCE OF FULLY DISCRETE FEM FOR THE VISCOELASTIC OLDROYD FLOW WITH AN INTRODUCED AUXILIARY VARIABLE

  • Huifang Zhang;Tong Zhang
    • 대한수학회지
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    • 제60권2호
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    • pp.273-302
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    • 2023
  • In this paper, a fully discrete numerical scheme for the viscoelastic Oldroyd flow is considered with an introduced auxiliary variable. Our scheme is based on the finite element approximation for the spatial discretization and the backward Euler scheme for the time discretization. The integral term is discretized by the right trapezoidal rule. Firstly, we present the corresponding equivalent form of the considered model, and show the relationship between the origin problem and its equivalent system in finite element discretization. Secondly, unconditional stability and optimal error estimates of fully discrete numerical solutions in various norms are established. Finally, some numerical results are provided to confirm the established theoretical analysis and show the performances of the considered numerical scheme.

무선통신소자제작을 위한 45GHz $f_{T}$ 및 50GHZz $f_{max}$ SiGe BiCMOS 개발 (A 45GHz $f_{T}\;and\;50GHz\;f_{max}$ SiGe BiCMOS Technology Development for Wireless Communication ICs)

  • 황석희;조대형;박강욱;이상돈;김남주
    • 대한전자공학회논문지SD
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    • 제42권9호
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    • pp.1-8
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    • 2005
  • 최근 Mobile용 RF ICs 적용을 위한 RF CMOS 기술과 함께 핵심 기술로 SiGe Heterojunction Bipolar Transistor (HBT) 소자 개발의 중요성이 증대되고 있다. 본 논문은 현재 5GHz 동작 수준의 RF제품에서 주로 사용되는 기술인 $0.35\{mu}m$ 설계 Rule을 적용하여 $f_{max}$ 50GHz에서 동작하는 SiGe BiCMOS 기술 개발에 대한 내용을 논의한다. 본 SiGe HBT에 사용하는 에피막 성장 기술은 Trapezoidal Ge base profile 및 non-selective 방식이고, 에미터 RTA 조건 및 SiGe HBT base에 대한 Vertical Profile 최적화를 수행하였다. hFE 100, $f_{T}\;45GHz,\;NF_{min}\;0.8dB$ 수준으로 우수한 특성 및 기술 경쟁력을 갖는 SiGe BiCMOS 공정 개발 및 양산 기술을 확보하였다. 또한, 기존의 0.35um설계 Rule공정 target떼 부합되는 CMOS소자를 포함시켰으며, RF용 Passive소자로 높은 Q값을 갖는 MIM capacitor(1pF, Q>80), Inductor(2nH $Q\~$l2.5)를 제공하였다

Sprague-Dawley계 정상흰쥐에서 포도당 내성과 인슐린 감수성에 대한 Cyclosporine의 영향 (Effects of Cyclosporine on Glucose Tolerance and Insulin Sensitivity in Sprague-Dawley Rats)

  • 강주섭;고현철;이창호;신인철;김동선;양석철;전용철
    • Biomolecules & Therapeutics
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    • 제7권4호
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    • pp.342-346
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    • 1999
  • This study was performed to investigate the effect of cyclosporine (CsA) on glucose tolerance and peripheral insulin sensitivity in normal Sprague-Dawley rats. After daily treament of CsA (10 mg/kg, i.p.) for two weeks, glucose tolerance tests were carried out by the treatment of glucose (Glu, 2 g/kg, i.p.) alone or in conjunction with exogenous insulin (Ins; human regular insulin, 5 U/kg, s.c.) and measured the decrement of area under the time-plasma glucose concentration curve ($AUC_{o\longrightarrow120}$; g.min/ml) by the trapezoidal rule. The rats were divided into three groups (Glu- (Control), Ins+Glu- and CsA+Ins+Glu-, n=7 in each group). The $AUC_{o\longrightarrow120}$ of the CsA+Ins+Glu-group was significantly (p<0.01) lower than that of Glu-group (61.0% of control) and significantly (p<0.05) higher than that of Ins+Glu-group (197.4% of Ins+Glu-). The CsA+Ins+Glu- grou showed higher levels of maximal blood glucose concentration and higher $AUC_{o\longrightarrow120}$ than those of Ins+Glu-group in normal rats. Besides direct pancreatic toxicity of CsA previously reported (Hahn et al., 1972), these results suggest that CsA also make the possibility to induce peripheral insulin insensitivity and glucose intolerance in normal rats.

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퍼지 PI 제어기를 사용한 BLDC 제어 응답특성 (The Characteristic of Control Response of BLDC using a Fuzzy PI Controller)

  • 윤용호;김재문;김덕헌;원충연
    • 전기학회논문지
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    • 제60권10호
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    • pp.1978-1983
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    • 2011
  • BLDC motor is used in a wide variety of industrial and servo applications. Its features and advantages mainly consist in high value of torque/inertia ratio, high efficiency with speed range and high dynamic performance. This paper deals with the speed control of a trapezoidal type brushless DC motor using Fuzzy PI controller. The conventional PI controller has been widely used in industrial applications. If we select a optimal PI control gain, the PI controller shows very good control performance. But it is very difficult to find the optimal PI control gain. Fuzzy control does not need any model of plant and is basically adaptive and gives robust performance for plant parameter variation. Therefore the combinations of conventional PI controller and fuzzy controller seem to be very effective. This paper deals with PI controller with 4-rule based fuzzy controller. The proposed fuzzy PI controller increases the control performance of the conventional PI controller. Simulation and experimental results show that fuzzy PI controller has a good robustness regarding the improper tuned PI controller.

스플라인 곡면을 이용한 토공량 결정에 관한 연구 (On the Earthwork Volume Decision Using Spline Surfaces)

  • 류재칠;이승훈;문두열
    • 한국측량학회지
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    • 제20권1호
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    • pp.85-92
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    • 2002
  • 건설시공현장에서 토공량 결정은 전체공사비 중에 큰 비중을 차지하므로 정확한 계산방법이 있어야 한다. 토공량을 계산하는 현행방법은 격자점 사이의 횡단면의 간격을 선형(사다리꼴법칙)이나 비선형(심프슨법칙)으로 가정한다. 일반적으로 비선형법칙이 선형법칙보다 더 정확한 것으로 나타나 있다. 그러나 앞에서 언급된 모든 방법은 예리한 코너부분이나 두 점 사이의 갑작스런 지형변화에 대처할 수 없는 결점을 내포하고 있다. 본 논문에서는 B-스플라인을 이용하여 주어진 데이터를 지나는 스플라인 곡면을 구하는 알고리즘을 살펴보고, 스플라인 곡면을 이용하여 토공량을 근사적으로 구하는 방법을 제시한다. 스플라인 곡면을 이용한 방법이 Chen 과 Lin이 제시한 방법보다 더 정확함을 몇 가지 예를 통해 보인다.

모티리움엠정(말레인산 돔페리돈 12.72 mg)에 대한 디엠정의 생물학적동등성 평가 (Bioequivalence Assessment of DM Tablet to Motilium-$M^{(R)}$ Tablet)

  • 조성완;김영일;이종오;방준석;정지훈
    • 한국임상약학회지
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    • 제18권2호
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    • pp.106-113
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    • 2008
  • The aim of this study was to evaluate the bioequivalence of two domperidone preparations. Bioequivalence assessment was conducted on 34 healthy volunteers who received two tablets (Domperidone Maleate, 12.72 mg/tablet) in the fasting state, in a randomized balanced $2{\times}2$ cross-over study design. This whole study was performed according to the implementation guidelines of the Korea Food Drug Administration. After dosing of two tablets, blood samples were collected serially for a period of 36 hours. Plasma was analyzed for domperidone by using LC/MS/MS assay method. The analysis system was validated in specificity, accuracy, precision, and linearity. $AUC_t$, (the area under the plasma concentration-time curve from the zero-time to 36 hr) was calculated through the trapezoidal rule. $C_{max}$ (maximum plasma drug concentration) and $T_{max}$ (time to reach $C_{max}$) were compiled from the plasma domperidone concentration-time data of each volunteer. No significant sequence effect was found for the bioavailability parameters indicating that the cross-over design was properly performed. The 90%-Confidence intervals of the $AUC_t$ ratio and the $C_{max}$ were from log 0.8007 to log 1.1240 and log 0.8645- log 1.2483, respectively. These values were within the acceptable bioequivalence intervals between 0.80 and 1.25. Therefore, this study demonstrated that two formulations have bioequivalence with respect to the rate and extent of absorption.

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토파맥스 정(토피라메이트 100mg)에 대한 토파민 정의 생물학적동등성 (Bioequivalence of Topamin Tablet to Topamax Tablet (Topiramate 100 mg))

  • 서지형;이명재;최상준;강종민;이진성;탁성권;이경태
    • Journal of Pharmaceutical Investigation
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    • 제38권4호
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    • pp.277-282
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    • 2008
  • The purpose of the present study was to evaluate the bioequivalence of two topiramate tablets, Topamax tablet (Janssen Korea. Co., Ltd., Seoul, Korea, reference drug) and Topamin tablet (Myungmoon Pharm. Co., Ltd., Seoul, Korea, test drug), according to the guidelines of Korea Food and Drug Administration (KFDA). Twenty-four healthy male Korean volunteers received one tablet at the dose of 100 mg topiramate in a $2{\times}2$ crossover study. There were two-weeks washout period between the doses. Plasma concentrations of topiramate were monitored by an LC-MS/MS for over a period of 96 hr after administration. $AUC_t$ (the area under the plasma concentration-time curve from time zero to 96 hr) was calculated by the linear trapezoidal rule method. $C_{max}$ (maximum plasma drug concentration) and $T_{max}$ (time to reach $C_{max}$) were compiled from the plasma concentration-time data. Analysis of variance (ANOVA) was carried out using logarithmically transformed $AUC_t$ and $C_{max}$. The 90% confidence intervals of the $AUC_t$, ratio and the $C_{max}$ ratio for Topamin/Topamax were $\log0.88{\sim}\log1.02$ and $\log0.87{\sim}\log1.03$, respectively. These values were within the acceptable bioequivalence intervals of $\log0.80{\sim}\log1.25$. Taken together, our study demonstrated the bioequivalence of Topamax and Topamin with respect to the rate and extent of absorption.

Bioequivalence of Mepiril Tablet to Amaryl Tablet (Glimepiride 2 mg) by Liquid Chromatography/Electrospray Tandem Mass Spectrometry

  • Lee, Heon-Woo;Cho, Sung-Hee;Park, Wan-Su;Im, Ho-Taek;Rew, Jae-Hwan;Lee, Kyung-Tae
    • Journal of Pharmaceutical Investigation
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    • 제35권4호
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    • pp.287-293
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    • 2005
  • The purpose of the present study was to evaluate the bioequivalence of two glimepiride tablets, Amaryl tablet (Handok & Aventis Korea, reference drug) and Mepiril tablet (Myungmoon Pharm. Co., Ltd., Korea, test drug), according to the guidelines of Korea Food and Drug Administration (KFDA). After adding an internal standard (glibenclamide) to human plasma, plasma samples were extracted using 1mL of methyl tertiary butyl ether. Compounds extracted were analyzed by reverse-phase HPLC with multiple reaction monitoring (MRM) mode analyte detection. This method for determination glimepiride proved accurate and reproducible, with a limit of quantitation of 2 ng/mL in human plasma. Twenty-four healthy male Korean volunteers received each medicine at the glimepiride dose of 2 mg in a $2{\times}2$ crossover study. There was a one-week washout period between the doses. Plasma concentrations of glimepiride were monitored by a LC-MS/MS for over a period of 12 hr after the administration. $AUC_t$ (the area under the plasma concentration-time curve from time zero to 12 hr) was calculated by the linear trapezoidal rule method. $C_{max}$ (maximum plasma drug concentration) and $T_{max}$ (time to reach $C_{max}$) were compiled from the plasma concentration-time data. Analysis of variance was carried out using logarithmically transformed $AUC_t$ and $C_{max}$. No significant sequence effect was found for all of the bioavailability parameters indicating that the crossover design was properly performed. The 90% confidence intervals of the $AUC_t$ ratio and the $C_{max}$ ratio for Amaryl/Mepiril were log 0.9583-log 1.1357 and log 1.0570-log 1.2376, respectively. These values were within the acceptable bioequivalence intervals of log 0.80-log 1.25. Taken together, our study demonstrated the bioequivalence of Amaryl and Mepiril with respect to the rate and extent of absorption.