• Structural Engineering and Mechanics
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• 제88권3호
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• pp.239-249
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• 2023

The Radial Point Interpolation Method (RPIM) has been proposed to overcome the difficulties associated with the use of the Radial Basis Functions (RBFs). The RPIM has the following properties: Simple implementation in terms of boundary conditions as in the Finite Element Method (FEM). A less expensive CPU time compared to other collocation meshless methods such as the Moving Least Square (MLS) collocation method. In this work, we propose an adaptive high-order numerical algorithm based on RPIM to simulate the thermoviscoplastic behavior of a material mixing observed in the Friction Stir Welding (FSW) process. The proposed adaptive meshfree RPIM algorithm adapts well to the geometric and physical data by choosing a good shape parameter with a good precision. Our numerical approach combines the RPIM and the Asymptotic Numerical Method (ANM). A numerical procedure is also proposed in this work to automatically determine an improved shape parameter for the RBFs. The efficiency of the proposed algorithm is analyzed in comparison with an iterative algorithm.

• 정보관리학회지
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• 제24권1호
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• pp.321-342
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• 2007

이 연구에서는 수작업 태깅없이 기계가독형 사전을 이용하여 자동으로 의미를 태깅한 후 학습데이터로 구축한 분류기에 대해 의미를 분류하는 단어 중의성 해소 모형을 제시하였다. 자동 태깅을 위해 사전 추출 정보 기반방법과 연어 공기 기반 방법을 적용하였다. 실험 결과, 자동 태깅에서는 복수 자질 축소를 적용한 사전 추출 정보 기반 방법이 70.06%의 태깅 정확도를 보여 연어 공기 기반 방법의 56.33% 보다 24.37% 향상된 성능을 가져왔다. 사전 추출 정보 기반 방법을 이용한 분류기의 분류 정학도는 68.11%로서 연어 공기 기반 방법의 62.09% 보다 9.7% 향상된 성능을 보였다. 또한 두 자동 태깅 방법을 결합한 결과 태깅 정확도는 76.09%, 분류 정확도는 76.16%로 나타났다.

• 한국음향학회지
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• 제18권6호
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• pp.31-37
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• 1999

본 논문은 근거리 음장 측정 자료로부터 원거리 음장 예측을 위한 기술에 대한 것이다. 음원의 음장 분포 특성은 원거리에서 측정된 자료의 해석으로 이루어지는 것이 일반적 방법이나, 음향수조 또는 무향실과 같은 제한된 공간에서는 근거리 영역에서 측정이 이루어지는 경우가 발생한다. 따라서 근거리 영역에서의 측정으로부터 원거리 음장이 예측되어야 한다. 이 경우 음원을 둘러싼 근거리 음장의 측정점수는 원거리 음장 예측치의 정확도와 자료 처리의 계산량과 상관된다. 기존 연구 결과는 최적측정점수는 음원의 kL에 비례하고 음원의 기하학적 형태 또는 지향특성에 따라 kL의 의존성이 다르게 나타난다고 되어 있으나 정확한 기준이 없다. 따라서 본 논문에서는 최적측정지점수에 대한 기준을 유도하기 위해 Helmholtz 적분식과 Green 함수를 근간으로 한 원거리 음장 예측 기술인 경계배치법(Boundary Collocation Method)을 분석하여 최적측정점수는 kL이 증가함에 따라 0.54kL로 수렴한다는 결과를 얻었다. 기존의 연구 결과 보다 최적측정점수를 1/2 정도로 줄였다.

• Journal of applied mathematics & informatics
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• 제6권2호
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• pp.523-538
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• 1999

A new preconditioning method is investigated to reduce the roundoff error in computing derivatives using Chebyshev col-location methods(CCM). Using this preconditioning causes ration of roundoff error of preconditioning method and CCm becomes small when N gets large. Also for accuracy enhancement of differentiation we use a domain decomposition approach. Error analysis shows that for this domain decomposition method error reduces proportional to the length of subintervals. Numerical results show that using domain decomposition and preconditioning simultaneously gives super accu-rate approximate values for first derivative of the function and good approximate values for moderately high derivatives.

• Journal of Welding and Joining
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• 제7권1호
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• pp.36-41
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• 1989

Among various calculation methods for residual stresses, inherent strain method can be useful one for its simplicity. In comparison with finite element method, it is more economical and efficient. First, inherent strain is assumed, and then incompatibility can be calculated from this inherent strain. Based on collocation method, incompatibility equation is solved assuming stress functions which satisfies boundary conditions. Assumed inherent strain can be determined through iterations on the condition that longitudinal residual stress in centerline is yield stress and transverse distortion is the same as predicted one from other method. Calculated results according to this analytic method yield good agreement with experimental ones.

• Korean Journal of Mathematics
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• 제13권2호
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• pp.161-176
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• 2005

We consider a model of population dynamics whose mortality function is unbounded. We note that the regularity of the solution depends on the growth rate of the mortality near the maximum age. We propose Gauss-Legendre methods along the characteristics to approximate the solution when the solution is smooth enough. It is proven that the scheme is convergent at fourth-order rate in the maximum norm. We also propose discontinuous Galerkin finite element methods to approximate the solution which is not smooth enough. The stability of the method is discussed. Several numerical examples are presented.

• 대한기계학회논문집A
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• 제24권1호
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• pp.16-28
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• 2000

The steady rotating flows in eccentric annulus has been studied by a numerical method based on the spectral collocation method. The inner cylinder has a constant angular velocity while the outer on e is stationary. Flow between eccentric cylinders is of considerable technical importance as it occurs in journal bearings. In the present work, the governing equations for laminar flow are expressed as Navier-Stokes equations, including the non-linear convection terms. The solutions were utilized i, estimate the effects of the nonlinear terms on the load acting on the rotating cylinder. Based on the half and the full Sommerfeld methods, the load on the rotating cylinder is evaluated with eccentricity, by integrating the pressure and skin friction around the cylinder. The attitude angle and Sommerfeld reciprocal are calculated from the load. Also, the torque on the rotating inner cylinder was calculated. considering the skin friction. The attitude angle and Sommerfeld reciprocal are decreased with eccentricity. Viscous damping coefficient due to the skin friction becomes larger with decreasing the annular space. It is found the non-linear effects of the convection terms on the flow and the load are important. especially on the attitude angle, for relatively wide annular configurations however, the effects on those are minor for very narrow annular ones.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2000년도 춘계학술대회논문집
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• pp.1752-1761
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• 2000

This paper describes the far-field estimation using the near-field measurement data. Measurement in far-field region gives us the acoustical characteristics of the source but in general measurement is made in near-field such as acoustic water tank or anechoic chamber, so far-field acoustical characteristics of the source should be predicted from near-field data. In this case, the number of measurement points in the near field which relates to the accuracy of the predicted field and the amount of data processing, should be optimized. Existing papers say that measurement points is proportional to kL and depends on geometry and directivity of the source. But they do not give us any definite criterion for the required number of measurement points. Boundary Collocation Method which is one of the far-field prediction methods, is analyzed based on Helmholtz integral equation and Green function and it has been found that the number of measurement points is optimized as 0.54kL which is about one half of the existing results.

• Journal of applied mathematics & informatics
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• 제8권1호
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• pp.27-44
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• 2001

A fast Poisson solver on irregular domains, based on bound-ary methods, is presented. The harmonic polynomial approximation of the solution of the associated homogeneous problem provides a good practical boundary method which allows a trivial parallel processing for solution evaluation or straightfoward computations of the interface values for domain decomposition/embedding. AMS Mathematics Subject Classification : 65N35, 65N55, 65Y05.

• Journal of applied mathematics & informatics
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• 제8권1호
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• pp.129-136
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• 2001

We introduce and discuss a new numerical method for solving system of second order boundary value problems, where the solution is required to satisfy some extra continuity conditions on the subintervals in addition to the usual boundary conditions. We show that the present method gives approximations which are better than that produced by other collocation, finite difference and spline methods. Numerical example is presented to illustrate the applicability of the new method. AMS Mathematics Subject Classification : 65L12, 49J40.