• 제목/요약/키워드: uniform convergence

검색결과 441건 처리시간 0.023초

NURBS 곡선을 이용한 고속비행체 최적형상설계 (Shape Design Optimization of High-Speed Air Vehicles Using Non-Uniform Rational B-Splines)

  • 김상진;이재우;변영환;김명성
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2001년도 춘계 학술대회논문집
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    • pp.72-77
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    • 2001
  • The computational efficiency of an shape optimization procedure is highly dependent upon the proper selection of shape representation methods and design variables. In this study, shape functions, Bezier and NURBS(non-uniform rational B-splines) curves are selected as configuration generation methods and their efficiencies on the nose shape design of high-speed air vehicles, are compared. The effects of the number of control points, weighting factors and the optimization methods when utilizing the NURBS curves, are investigated. By implementing Bezier and NURBS curves, shapes having lower drag than the optimization case utilizing the shape functions, were obtained, hence it was demonstrated that these curves have better capability in representing the configuration. Efforts will be given to improve the convergence behavior when utilizing the NURBS, hence to reduce the number of Navier-Stokes analysis calculations.

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Transmit Antenna Selection for Multi-user MIMO Precoding Systems with Limited Feedback

  • Mohaisen, Manar
    • Journal of information and communication convergence engineering
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    • 제9권2호
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    • pp.193-196
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    • 2011
  • Transmit antenna selection techniques are prominent since they exploit the spatial selectivity at the transmitter side. In the literature, antenna selection techniques assume full knowledge of the channel state information (CSI). In this paper, we consider that the CSI is not perfectly known at the transmitter; however, a quantized version of the channel coefficients is fed back by the users. We employ the non-uniform Lloyd-Max quantization algorithm which takes into consideration the distribution of the channel coefficients. Simulation results show that the degradation in the BER of the system with imperfect CSI at the transmitter is tolerable, especially when the transmit diversity order is high.

적응 경계요소법을 이용한 2형원 정자계 해석 (2-D Magnetostatic Field Analysis Using Adaptive Boundary Element Method)

  • 고창섭;정현교;한송엽
    • 대한전기학회논문지
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    • 제40권3호
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    • pp.243-249
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    • 1991
  • Adaptive mesh refinement scheme is incorporated with the boundary element analysis in order to get accurate solution with relatively fewer unnowns for magnetostatic field analysis. A new andsimple posteriori local error estimate is also presented. The local error is defined as an integraktion over the element of the difference between solutions from quadratic interpolation functions and linear interpolation functions and is used as the criterion for mesh refinement. Case study with a singular point reveals that adaptive meshes are more efficient in accuracy of solutions than uniform meshs generated by dividing al the elements evenly. The adaptive meshes give much better rate of convergence in global errors than the uniform meshes.

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다양한 외부흐름에 대한 평탄한 지형을 통과하는 파랑의 반사율 산정 (The Calculation of Reflection Coefficients of Water Waves over Various Shear Currents with a Uniform Depth Topography)

  • 이준환;조용식
    • 한국수자원학회논문집
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    • 제46권3호
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    • pp.245-252
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    • 2013
  • 본 연구에서는 다양한 외부흐름에 대한 평탄한 지형을 통과하는 파랑의 반사율을 해석적으로 계산하였다. 수심이 일정한 지형에 외부흐름을 작은 구간의 계단형으로 단순화하였다. 계산에 필요한 적절한 구간의 수와 소멸파 성분의 개수를 제안하였다. 아울러, 외부흐름의 변화와 다양한 양상에 따른 반사율의 특징을 서술하였다.

Asymptotic Characteristics of MSE-Optimal Scalar Quantizers for Generalized Gamma Sources

  • 이재건;나상신
    • 한국통신학회논문지
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    • 제37권5A호
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    • pp.279-289
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    • 2012
  • Characteristics, such as the support limit and distortions, of minimum mean-squared error (MSE) N-level uniform and nonuniform scalar quantizers are studied for the family of the generalized gamma density functions as N increases. For the study, MSE-optimal scalar quantizers are designed at integer rates from 1 to 16 bits/sample, and their characteristics are compared with corresponding asymptotic formulas. The results show that the support limit formulas are generally accurate. They also show that the distortion of nonuniform quantizers is observed to converge to the Panter-Dite asymptotic constant, whereas the distortion of uniform quantizers exhibits slow or even stagnant convergence to its corresponding Hui-Neuhoff asymptotic constant at the studied rate range, though it may stay at a close proximity to the asymptotic constant for the Rayleigh and Laplacian pdfs. Additional terms in the asymptote result in quite considerable accuracy improvement, making the formulas useful especially when rate is 8 or greater.

Higher Order Uniformly Convergent Numerical Scheme for Singularly Perturbed Reaction-Diffusion Problems

  • Anilay, Worku Tilahun;Duressa, Gemechis File;Woldaregay, Mesfin Mekuria
    • Kyungpook Mathematical Journal
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    • 제61권3호
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    • pp.591-612
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    • 2021
  • In this paper, a uniformly convergent numerical scheme is designed for solving singularly perturbed reaction-diffusion problems. The problem is converted to an equivalent weak form and then a Galerkin finite element method is used on a piecewise uniform Shishkin mesh with linear basis functions. The convergence of the developed scheme is proved and it is shown to be almost fourth order uniformly convergent in the maximum norm. To exhibit the applicability of the scheme, model examples are considered and solved for different values of a singular perturbation parameter ε and mesh elements. The proposed scheme approximates the exact solution very well.

Angle-of-Arrival Estimation Algorithm Based on Combined Array Antenna

  • Kim, Tae-yun;Hwang, Suk-seung
    • Journal of Positioning, Navigation, and Timing
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    • 제10권2호
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    • pp.131-137
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    • 2021
  • The Angle-of-Arrival (AOA) estimation in real time is one of core technologies for the real-time tracking system, such as a radar or a satellite. Although AOA estimation algorithms for various antenna types have been studied, most of them are for the single-shaped array antenna suitable to the specific frequency. In this paper, we propose the cascade AOA estimation algorithm for the combined array antenna with Uniform Rectangular Frame Array (URFA) and Uniform Circular Array (UCA), with the excellent performance for various frequencies. The proposed technique is consisted of Capon for roughly finding AOA groups with multiple signal AOAs and Beamspace Multiple Signal Classification (MUSIC) for estimating the detailed signal AOA in the AOA group, for the combined array antenna. In addition, we provide computer simulation results for verifying the estimation performance of the proposed algorithm.

A ROBUST NUMERICAL TECHNIQUE FOR SOLVING NON-LINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITH BOUNDARY LAYER

  • Cakir, Firat;Cakir, Musa;Cakir, Hayriye Guckir
    • 대한수학회논문집
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    • 제37권3호
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    • pp.939-955
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    • 2022
  • In this paper, we study a first-order non-linear singularly perturbed Volterra integro-differential equation (SPVIDE). We discretize the problem by a uniform difference scheme on a Bakhvalov-Shishkin mesh. The scheme is constructed by the method of integral identities with exponential basis functions and integral terms are handled with interpolating quadrature rules with remainder terms. An effective quasi-linearization technique is employed for the algorithm. We establish the error estimates and demonstrate that the scheme on Bakhvalov-Shishkin mesh is O(N-1) uniformly convergent, where N is the mesh parameter. The numerical results on a couple of examples are also provided to confirm the theoretical analysis.

COMPUTATIONAL METHOD FOR SINGULARLY PERTURBED PARABOLIC REACTION-DIFFUSION EQUATIONS WITH ROBIN BOUNDARY CONDITIONS

  • GELU, FASIKA WONDIMU;DURESSA, GEMECHIS FILE
    • Journal of applied mathematics & informatics
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    • 제40권1_2호
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    • pp.25-45
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    • 2022
  • In this study, the non-standard finite difference method for the numerical solution of singularly perturbed parabolic reaction-diffusion subject to Robin boundary conditions has presented. To discretize temporal and spatial variables, we use the implicit Euler and non-standard finite difference method on a uniform mesh, respectively. We proved that the proposed scheme shows uniform convergence in time with first-order and in space with second-order irrespective of the perturbation parameter. We compute three numerical examples to confirm the theoretical findings.

고전압 LiNi0.5Mn1.5O4 양극 고성능 바인더 개발 연구 (Development of Advanced Polymeric Binders for High Voltage LiNi0.5Mn1.5O4 cathodes in Lithium-ion batteries)

  • 윤대희;최성훈
    • 산업기술연구
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    • 제43권1호
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    • pp.43-48
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    • 2023
  • Spinel LiNi0.5Mn1.5O4 (LNMO) has been considered as one of most promising cathode material, because of its low-cost and competitive energy density. However, 4.7V vs. Li/Li+ of high operating potential facilitates electrolyte degradation on cathode-electrolyte interface during charge-discharge process. In particular, commercial polyvinylidene fluoride (PVDF) is not sutaible for LNMO cathode binder because its weak van der waals force induces thick and non-uniform coverage on the cathode surface. In this review, we study high performance binders for LNMO cathode, which forms uniform coating layer to prevent direct contact between electrolyte and LNMO particle as well as modifying high quality cathode electrolyte interphase, improved cell performace.