• Title/Summary/Keyword: Error Estimates

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A PRIORI ERROR ESTIMATES OF A DISCONTINUOUS GALERKIN METHOD FOR LINEAR SOBOLEV EQUATIONS

  • Ohm, Mi-Ray;Shin, Jun-Yong;Lee, Hyun-Young
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.13 no.3
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    • pp.169-180
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    • 2009
  • A discontinuous Galerkin method with interior penalty terms is presented for linear Sobolev equation. On appropriate finite element spaces, we apply a symmetric interior penalty Galerkin method to formulate semidiscrete approximate solutions. To deal with a damping term $\nabla{\cdot}({\nabla}u_t)$ included in Sobolev equations, which is the distinct character compared to parabolic differential equations, we choose special test functions. A priori error estimate for the semidiscrete time scheme is analyzed and an optimal $L^\infty(L^2)$ error estimation is derived.

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Multiresponse Optimization in Response Surface Analysis : A Method by Minimization of Weighted Sum of Estimates of Expected Squared Relative Errors (반응표면분석에서의 다반응 최적화 : 기대 상대오차제곱 추정치 가중합의 최소화에 의한 방법)

  • Rheem, Sung-Sue;Lee, Woo-Sun
    • Journal of Korean Society for Quality Management
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    • v.33 no.1
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    • pp.73-82
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    • 2005
  • This article proposes a practical approach, which is based on the concept of the expected squared relative error, that can consider both the prediction quality and the practitioner's subjectivity in simultaneously optimizing multiple responses. Through a case study, multiresponse optimization using the expected squared relative error approach is illustrated, and the SAS program to implement the proposed method is provided.

Real Time Error Correction of Hydrologic Model Using Kalman Filter

  • Wang, Qiong;An, Shanfu;Chen, Guoxin;Jee, Hong-Kee
    • Proceedings of the Korea Water Resources Association Conference
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    • 2007.05a
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    • pp.1592-1596
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    • 2007
  • Accuracy of flood forecasting is an important non-structural measure on the flood control and mitigation. Hence, combination of horologic model with real time error correction became an important issue. It is one of the efficient ways to improve the forecasting precision. In this work, an approach based on Kalman Filter (KF) is proposed to continuously revise state estimates to promote the accuracy of flood forecasting results. The case study refers to the Wi River in Korea, with the flood forecasting results of Xinanjiang model. Compared to the results, the corrected results based on the Kalman filter are more accurate. It proved that this method can take good effect on hydrologic forecasting of Wi River, Korea, although there are also flood peak discharge and flood reach time biases. The average determined coefficient and the peak discharge are quite improved, with the determined coefficient exceeding 0.95 for every year.

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A CONSISTENT DISCONTINUOUS BUBBLE SCHEME FOR ELLIPTIC PROBLEMS WITH INTERFACE JUMPS

  • KWONG, IN;JO, WANGHYUN
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.24 no.2
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    • pp.143-159
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    • 2020
  • We propose a consistent numerical method for elliptic interface problems with nonhomogeneous jumps. We modify the discontinuous bubble immersed finite element method (DB-IFEM) introduced in (Chang et al. 2011), by adding a consistency term to the bilinear form. We prove optimal error estimates in L2 and energy like norm for this new scheme. One of the important technique in this proof is the Bramble-Hilbert type of interpolation error estimate for discontinuous functions. We believe this is a first time to deal with interpolation error estimate for discontinuous functions. Numerical examples with various interfaces are provided. We observe optimal convergence rates for all the examples, while the performance of early DB-IFEM deteriorates for some examples. Thus, the modification of the bilinear form is meaningful to enhance the performance.

Speed-Sensorless Control of an Induction Motor using Model Reference Adaptive Fuzzy System (기준 모델 적응 퍼지 시스템을 이용한 유도전동기의 속도 센서리스 제어)

  • Choi, Sung-Dae;Kang, Sung-Ho;Ko, Bong-Woon;Nam, Hoon-Hyon;Kim, Lark-Kyo
    • Proceedings of the KIEE Conference
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    • 2002.07d
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    • pp.2064-2066
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    • 2002
  • This paper proposes Model Reference Adaptive Fuzzy System(MRAFS) using Fuzzy Logic Controller(FLC) as a adaptive laws in Model Reference Adaptive System(MRAS) in order to realize the speed-sensorless control of an induction motor. MRAFS estimates the speed of an induction motor with a rotor flux of a reference model and adjustable model in MRAS. Fuzzy logic controller reduces the error of the rotor flux between the reference model and the adjustable model using the error and the change of error as the input of FLC. The computer simulation is executed to verify the propriety and the effectiveness of the proposed system.

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A Study on the Uncertainty Analysis for Thermopile Pyranometer Calibrations (일사계 교정을 위한 불확실성 분석에 관한 연구)

  • Jo, D.K.;Chun, I.S.;Jeon, M.S.;Kang, Y.H.;Auh, C.M.
    • Journal of the Korean Solar Energy Society
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    • v.21 no.3
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    • pp.25-32
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    • 2001
  • The major purpose of this paper is to develop an uncertainty estimate for the calibration of thermopile instruments used to measure solar radiation parameters. We briefly describe the solar radiation parameters most often measured, instrumentation, reference standards, and calibration techniques. The bulk of the paper describes elemental sources of error and their magnitude. We then apply a standard error analysis methodology to combine these elemental error estimates into a statement of total uncertainty for the instrument calibration factor. Our results allow one to evaluate the accuracy of a radiometric measurement using thermopile instrumentation in the light of the application, such as engineering test evaluation or for validation of theoretical models.

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An Adaptive Flux Observer of Induction Motors with Unknown Rotor Resistance (미지의 회전자 저항을 갖는 유도기의 적응 자속 관측자 설계)

  • Kim, Do-Woo;Yang, Hai-Won;Yoon, Ji-Sup;Park, Byung-Suk;Kim, Hong-Phil
    • Proceedings of the KIEE Conference
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    • 1998.11b
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    • pp.438-441
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    • 1998
  • In this paper, we proposes an adaptive flux observer to estimate initial values of rotor fluxes and unknown rotor resistance. The error system between the model of induction motor and a proposed observer is devided as a fast subsystem and a slow one by a singular perturbation system. The fast subsystem is exponentially convergent on a boundary-layer. And the overall error system is reduced to a quasi-steady-state system. The adaptive law for an unknown rotor resistance is designed to stabilize the approximate error system. As computer simulation results show, the proposed adaptive flux observer estimates fast initial values of rotor fluxes and unknown rotor resistance.

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A Study on the Performance Analysis Algorithm for Digital Transmission Lines (디지틀 전송선로의 성능 분석 알고리즘에 관한 연구)

  • 서수완;전동근;차균현
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.16 no.6
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    • pp.498-508
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    • 1991
  • This thesis presents a performance analysis algorithm that estimates erro performance of individual links, at the bit level, in an end-to-end digital connection using the model of 3-statte MarKov chain. The link model proposed the burst error behavior of each individual link. It also presents a method to concateante several individual links and extract a model for end-to-end digital connection. This resulting end-to-end model can be used to calculate performance parameters such as bit error rate(BER) and block error(BLER) for any block size.

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GAIA PARALLAX ZERO POINT FROM RR LYRAE STARS

  • Gould, Andrew;Kollmeier, Juna A.
    • Journal of The Korean Astronomical Society
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    • v.50 no.1
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    • pp.1-5
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    • 2017
  • Like Hipparcos, Gaia is designed to give absolute parallaxes, independent of any astrophysical reference system. And indeed, Gaia's internal zero-point error for parallaxes is likely to be smaller than any individual parallax error. Nevertheless, due in part to mechanical issues of unknown origin, there are many astrophysical questions for which the parallax zero-point error ${\sigma}({\pi}_0)$ will be the fundamentally limiting constraint. These include the distance to the Large Magellanic Cloud and the Galactic Center. We show that by using the photometric parallax estimates for RR Lyrae stars (RRL) within 8kpc, via the ultra-precise infrared period-luminosity relation, one can independently determine a hyper-precise value for ${\pi}_0$. Despite their paucity relative to bright quasars, we show that RRL are competitive due to their order-of-magnitude improved parallax precision for each individual object relative to bright quasars. We show that this method is mathematically robust and well-approximated by analytic formulae over a wide range of relevant distances.

Position Estimation of a Mobile Robot using Distance Error Weight Function (Distance Error Weight Function을 이용한 이동 로봇의 위치 추정 시스템의 설계)

  • Kho, Jee-Won;Park, Jae-Joon;Lee, Ki-Cheol;Park, Mig-Non
    • Proceedings of the KIEE Conference
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    • 1999.07g
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    • pp.3048-3050
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    • 1999
  • This paper suggests a position estimating algorithm using mono vision system with projective geometry method. Generally, 3-D information can not be easily extracted from mono vision system which is taken by a camera at a specific point. But this defect is overcome by adopting model-based image analysis and selecting lines and points on the ground as natural landmarks. And this paper suggests a method that estimates position from many natural landmarks by distance error weight function.

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