• 제목/요약/키워드: $L_{p}$-norm method

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QUADRATURE ERROR OF THE LOAD VECTOR IN THE FINITE ELEMENT METHOD

  • Kim, Chang-Geun
    • Journal of applied mathematics & informatics
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    • 제5권3호
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    • pp.735-748
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    • 1998
  • We analyze the error in the p version of the of the finite element method when the effect of the quadrature error is taken in the load vector. We briefly study some results on the $H^{1}$ norm error and present some new results for the error in the $L^{2}$ norm. We inves-tigate the quadrature error due to the numerical integration of the right hand side We present theoretical and computational examples showing the sharpness of our results.

ROBUST $L_{p}$-NORM ESTIMATORS OF MULTIVARIATE LOCATION IN MODELS WITH A BOUNDED VARIANCE

  • Georgly L. Shevlyakov;Lee, Jae-Won
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제9권1호
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    • pp.81-90
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    • 2002
  • The least informative (favorable) distributions, minimizing Fisher information for a multivariate location parameter, are derived in the parametric class of the exponential-power spherically symmetric distributions under the following characterizing restrictions; (i) a bounded variance, (ii) a bounded value of a density at the center of symmetry, and (iii) the intersection of these restrictions. In the first two cases, (i) and (ii) respectively, the least informative distributions are the Gaussian and Laplace, respectively. In the latter case (iii) the optimal solution has three branches, with relatively small variances it is the Gaussian, them with intermediate variances. The corresponding robust minimax M-estimators of location are given by the $L_2$-norm, the $L_1$-norm and the $L_{p}$ -norm methods. The properties of the proposed estimators and their adaptive versions ar studied in asymptotics and on finite samples by Monte Carlo.

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ERROR ESTIMATION OVER THE POLYGONAL DOMAINS BY THE FINITE ELEMENT METHOD

  • Kim, Chang-Geun
    • Journal of applied mathematics & informatics
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    • 제9권1호
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    • pp.311-320
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    • 2002
  • For second order linear elliptic problems over smooth domains, it is well known that the rate of convergence of the error in the $L_2$norm is one order higher than that in the $H^1$norm. For polygonal domains with reentrant corners, it has been shown in [15] that this extra order cannot be fully recovered when the h-version is used. We present theoretical and computational examples showing the sharpness of our results.

장기이식환자의 건강관련 삶의 질 (Health Related Quality of Life among Organ Transplant Recipients)

  • 김금순;강지연;정인숙
    • 대한간호학회지
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    • 제33권3호
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    • pp.365-375
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    • 2003
  • Purpose: This study was aimed to investigate the health related quality of life and related factors of organ transplant recipients. Method: The participants were 188 people who had liver(86), kidney(81), or heart(24) transplanted. Data on the demographic characteristics, transplantation-related characteristics, symptom frequency or discomfort measured by Transplant Symptom Frequency and Symptom Distress Scale by Lough et al(l987), and health related quality of life measured by SF-36(version 2) were collected. Result: Overall health related quality of life score was 492.1 for 100scoring and, 344.9 for norm based. Physical functioning showed the highest quality of life score (77.5) and vitality showed the lowest(51.l). The kidney transplanted showed the highest quality of life (504.4) and the heart transplanted showed the lowest(426.7) Quality of life was related with occupation(p=.016) and symtom discomfort(p < .0001). Conclusion: The health related quality of life of transplated patients was lower than the norm of American. Further studies need to be done to identify the norm of Korean and to investigate the effect of releving symptom discomfort on the increasing the health related quality of life.

수중음향채널에서 Sparse 채널 추정 기법에 관한 연구 (A Study on the Sparse Channel Estimation Technique in Underwater Acoustic Channel)

  • 권병철;이외형;김기만
    • 한국정보통신학회논문지
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    • 제18권5호
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    • pp.1061-1066
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    • 2014
  • 천해에서 음파 전달은 매우 복잡하며, sparse한 전달 특성을 갖는다. 이러한 환경에서 수중음향통신 시스템의 성능을 향상시키기 위하여 채널을 추정하기 위한 여러 방법들이 연구되었다. 본 논문에서는 기존의 sparse-aware LMS(Least Mean Square) 알고리즘들보다 빠른 수렴속도를 갖는 LMS 기반 채널 추정 알고리즘을 제안하였다. 제안한 방법은 $L_p$-norm LMS 알고리즘과 soft decision 과정을 결합한 것이다. 모의실험은 실제 해상 실험을 통하여 얻은 수중 음속 데이터를 바탕으로 수행되었다. 그 결과 제안한 방법이 기존의 방법들보다 빠른 수렴속도와 향상된 성능을 보이는 것을 확인하였다.

LONG-TIME BEHAVIOR OF SOLUTIONS TO A NONLOCAL QUASILINEAR PARABOLIC EQUATION

  • Thuy, Le Thi;Tinh, Le Tran
    • 대한수학회논문집
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    • 제34권4호
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    • pp.1365-1388
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    • 2019
  • In this paper we consider a class of nonlinear nonlocal parabolic equations involving p-Laplacian operator where the nonlocal quantity is present in the diffusion coefficient which depends on $L^p$-norm of the gradient and the nonlinear term is of polynomial type. We first prove the existence and uniqueness of weak solutions by combining the compactness method and the monotonicity method. Then we study the existence of global attractors in various spaces for the continuous semigroup generated by the problem. Finally, we investigate the existence and exponential stability of weak stationary solutions to the problem.

Limitation of effective length method and codified second-order analysis and design

  • Chan, S.L.;Liu, Y.P.;Zhou, Z.H.
    • Steel and Composite Structures
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    • 제5권2_3호
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    • pp.181-192
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    • 2005
  • The effective length method for flexural (column) buckling has been used for many decades but its use is somewhat limited in various contemporary design codes to moderately slender structures with elastic critical load factor (${\lambda}_{cr}$) less than 3 to 5. In pace with the use of higher grade steel in recent years, the influence of buckling in axial buckling resistance of a column becomes more important and the over-simplified assumption of effective length factor can lead to an unsafe, an uneconomical or a both unsafe and uneconomical solution when some members are over-designed while key elements are under-designed. Effective length should not normally be taken as the distance between nodes multiplied by an arbitrary factor like 0.85, 1.0, 2.0 etc. Further, the classification of non-sway and sway-sensitive frames makes the conventional design procedure tedious to use and, more importantly, limited to simple regular frames. This paper describes the practical use of second-order analysis with section capacity check allowing for $P-{\delta}$ and $P-{\Delta}$ effects together with member and system imperfections. Most commercial software considers only the $P-{\Delta}$ effect, but not member and frame imperfections nor $P-{\delta}$ effect, and engineers must be very careful in their uses. A verification problem is also given for validation of software for this type of powerful second-order analysis and design. It is a trend for popular and advanced national design codes in using the second-order analysis as a norm for analysis and design of steel structures while linear analysis may only be used in very simple structures.

HRV 분석을 이용한 운전피로도에 관한 연구 (The Study of Driving Fatigue using HRV Analysis)

  • 성홍모;차동익;김선웅;박세진;김철중;윤영로
    • 대한의용생체공학회:의공학회지
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    • 제24권1호
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    • pp.1-8
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    • 2003
  • 장시간 운전을 하는 동안 운전자는 외부상황을 계속해서 주시하고 경계하게 하므로 운전자에게는 정신적 부하로 작용하게 되며 이로 인해 발생하는 운전피로는 자동차 사고의 원인이 될 수 있다. 본 연구에서는 심박변동신호를 분석하여 운전시간의 증가에 따른 발생하는 운전피로도를 알아보았다. 심박변동신호의 분석방법에는 이전 연구들에서 널리 사용되어져 왔던 선형분석방법들과 함께 ApEn, Poincare Plot등을 이용한 비선형 분석방법들을 이용하였다. 3년 이상의 운전경력을 가진 5명의 실험자가 참가하였으며 모든 실험자는 4대의 승용차를 2번씩 운전하여 총 40회의 실험을 실시하였다. 운전구간은 고속도로 300km구간을 왕복해서 주행하도록 하였으며 약 3시간 정도가 소요되었다. 운전하는 동안 30분 간격으로 심전도 데이터를 측정하였다. 측정된 심전도 신호로부터 유도된 심박변동신호(HRV : heart rate variability)로부터 시간영역 변수, 주파수 영역변수, 비선형 특성 등을 구한다음, 안정 상태의 데이터라 비교하여 통계석 유의성을 살펴보았다. 분석결과 시간영역의 변수인 평균심박동수는 운전시간의 증가에 따라 계속적으로 감소하였으며 심박동율의 표준편차와 연속적인 RR간격의 차이는 90분 이후로는 일정 수준을 유지하였다. 주파수 영역에서 구한 L $F_{norm}$, LF/HF는 운전시간에 따라 증가함을 보였다. 비선형 특성을 알아보기 위해서 ApEn, Poincare plot을 이용하였는데 모두 시간에 따라 감소함을 나타내었다. 대부분의 변수에서 통계적 유의성은 1시간 이후부터 나타남을 볼 수 있었다.