• 한국음향학회:학술대회논문집
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• 한국음향학회 1996년도 제11회 수중음향학 학술발표회 논문집 11th Underwater Acoustics Symposium Proceedings
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• pp.64-68
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• 1996

수중음파전달 모델은 benchmark 시험을 통해 정확도, 적용범위, 계산시간 등의 성능을 평가받는다. 본 논문에서는 analytic 모델, 정상 모드 모델(normal mode model), 포물선 방정식 모델(parabolic equation model), 가우시안 빔 모델(Gaussian beam model), 스펙트럼 모델(spectral model) 등 거리의존 모델에 대해 benchmark 시험을 수행하였으며, benchmark 시험은 다음과 같은 세 가지 거리의존 해양환경으로 나누어 실시했다 : 1) 해수면과 해저면이 Dirichlet 경계조건인 이상 쐐기 문제(ideal wedge problem), 2) 해수면은 앞서 말한 Dirichlet 경계조건이나 해저면은 전달 손실이 있는 손실 통과 해저면 쐐기 문제(penetrable lossy bottom wedge problem), 3) 해수면은 앞서 말한 Dirichlet 경계조건이고 해저면은 Neumann 경계조건으로 서로 평행이면 음파전달 속도가 거리방향 의존인 경우, 경우 1은 anaytic 모델을 사용하고 경우 2는 정상 모드 모델, 포물선 방정식 모델, 스펙트럼 모델을 사용하였으며, 경우 3에 대해서는 가우시안 빔 모델과 포물선 방정식 모델을 사용하였다.

• 대한전자공학회논문지SP
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• 제44권1호
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• pp.94-104
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• 2007

홍채 인식은 홍채 패턴 정보를 이용하여 사람의 신원을 확인하는 생체 인식 기술이다. 일반적인 홍채 인식 시스템에서 취득된 홍채 영상에는 홍채 패턴 정보를 가리는 눈꺼풀이 포함된다. 이러한 눈꺼풀은 홍채 인식의 성능을 저하시키는 요소이다. 따라서 본 논문에서는 홍채인식의 정확성을 향상시키기 위해 눈꺼풀 검출 알고리즘을 제안한다. 본 연구는 기존의 방법에 비해 다음과 같은 세 가지 차별성과 장점을 가지고 있다. 첫 번째, 눈꺼풀 검출에 문제가 되는 속눈썹과 조명 반사광(specular reflection)을 기존의 방법에 의해 검출한 후에, 선형 보간법(interpolation)을 이용하여 제거하는 방법을 제안함으로써 눈꺼풀 추출의 정확도를 향상하였다. 두 번째, 기존의 알고리즘은 눈꺼풀 후보점을 추출하기 위해 홍채의 넓은 부분을 탐색하므로 영상잡음이나 홍채 패턴 등에 의해 눈꺼풀을 잘못 추출하는 경우가 많았다. 이러한 문제를 해결하기 위하여 본 논문에서는 검출된 홍채의 외곽경계 정보에 의해 초기 눈꺼풀 탐색 영역을 결정하고, 마스크 기법을 이용하여 눈꺼풀 후보점들을 추출함으로써 눈꺼풀 추출 에러를 감소시켰다. 세 번째, 기존의 알고리즘들은 포물선 방정식에 의해 눈꺼풀 영역을 검출하지만, 사용자의 눈의 회전을 고려하지 않았기 때문에 많은 에러가 발생되었다. 따라서 제안하는 알고리즘은 눈의 회전을 고려한 회전된 포물선 방정식을 이용한 허프 변환(Hough transform)을 통해 눈꺼풀을 검출함으로써 이러한 에러 발생을 감소시켰다. CASIA 데이터베이스의 홍채 영상을 사용하여 제안하는 눈꺼풀 검출 알고리즘을 실험한 결과, 위 눈꺼풀의 검출 정확도는 90.82%, 아래 눈꺼풀의 검출 정확도는 96.47%였다.

• 한국기계가공학회지
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• 제21권4호
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• pp.53-59
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• 2022

In this study, an enhanced first-order shear deformation theory is proposed to efficiently and accurately predict the thermo-mechanical-viscoelastic coupled behavior of laminated composite structures. To this end, transverse shearstress and displacement fields are independently assumed, and the strain-energy relationship between these fields issystematically established using the mixed variational theorem (MVT). In MVT, the transverse shear stress fields are obtained from the third-order zigzag model, whereas the displacement fields of the conventional first-order model are considered to amplify the benefits of numerical efficiency. Additionally, a transverse displacement field with a smooth parabolic distribution is introduced to accurately predict the thermal behavior of composite structures. Furthermore, the concept of Laplace transformation is newly employed to simplify the viscoelastic problem, similar to the linear-elastic problem. To demonstrate the performance of the proposed theory, the numerical results obtained herein were compared with those available in the literature.

• 대한수학회지
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• 제60권3호
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• pp.565-586
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• 2023

We study the Dirichlet problem for the degenerate nonlocal parabolic equation u_t - a(||∇u||²_L²(Ω))∆u = C_b ||u||^β_L²(Ω) |u|^q(x,t)-2 u log |u| + f in Q_T, where Q_T := Ω × (0, T), T > 0, Ω ⊂ ℝ^N, N ≥ 2, is a bounded domain with a sufficiently smooth boundary, q(x, t) is a measurable function in Q_T with values in an interval [q^-, q⁺] ⊂ (1, ∞) and the diffusion coefficient a(·) is a continuous function defined on ℝ₊. It is assumed that a(s) → 0 or a(s) → ∞ as s → 0⁺, therefore the equation degenerates or becomes singular as ||∇u(t)||2 → 0. For both cases, we show that under appropriate conditions on a, β, q, f the problem has a global in time strong solution which possesses the following global regularity property: ∆u ∈ L²(Q_T) and a(||∇u||²_L²(Ω))∆u ∈ L²(Q_T ).

• 한국농공학회지
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• 제29권3호
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• pp.153-162
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• 1987

A numerical procedure for the analysis of slender arch buckling problems for uniform dead weight is presented in this paper. Such loading changes in the arch profile. The problem is nonlinear. The numerical procedure is limited to an inextensible analysis and to elastic behavior. Based upon a numerical integration technique developed by Newmark for straight beams, a large deflection bending analysis is combined with small deflection buckling routines to formulate the numerical procedure. The numerical procedure is composed of a combination of the numerical integration and successive approximations procedure. The results obtained in this study are as follows : 1.The critical loads obtained in this study coincide with the results by Austin so that the algorithm developed in this study is verified. 2.The numerical results are converged with good precision when the half arch is divided into 10 segments in both Prime and Quadratic section. 3.The critical loads are decreased as the ratios of rise versus span are increased. 4.The critical loads are increased as the moments of inertia at the ends are increased. 5.The critical loads of Prime section are larger than that of Quadratic section under the same profile conditions.

• 대한수학회보
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• 제49권4호
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• pp.705-714
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• 2012

In this paper, we study nonlinear equation arising in MEMS modeling electrostatic actuation. We will prove the local and global existence of solutions of the generalized parabolic MEMS equation. We present that there exists a constant ${\lambda}^*$ such that the associated stationary problem has a solution for any ${\lambda}$ < ${\lambda}^*$ and no solution for any ${\lambda}$ > ${\lambda}^*$. We show that when ${\lambda}$ < ${\lambda}^*$ the global solution converges to its unique maximal steady-state as $t{\rightarrow}{\infty}$. We also obtain the condition for the existence of a touchdown time $T{\leq}{\infty}$ for the dynamical solution. Furthermore, there exists $p_0$ > 1, as a function of $p$, the pull-in voltage ${\lambda}^*(p)$ is strictly decreasing with respect to 1 < $p$ < $p_0$, and increasing with respect to $p$ > $p_0$.

• 대한수학회논문집
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• 제10권1호
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• pp.39-48
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• 1995

The ADI method was introduced by Peaceman and Rachford [6] in 1955, to solve the discretized boundary value problems for elliptic and parabolic PDEs. The finite difference discretization of the model elliptic problem $$ (1) -\Delta u = f, \Omega = [0, 1] \times [0, 1] $$ $$ u = 0 on \delta \Omega $$ with 5-point centered finite difference discretization, with n +2 mesh-points in the x - direction and m + 2 points in the y direction, leads to the solution of a linear system of equations of the form $$ (2) Au = b $$ where A is a matrix of dimension $N = n \times m$. Without loss of generality and for the sake of simplicity, we will assume for the remainder of this paper that m = n, so that $N = n^2$.

• 한국전산유체공학회:학술대회논문집
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• 한국전산유체공학회 2003년도 The Fifth Asian Computational Fluid Dynamics Conference
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• pp.48-49
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• 2003

In the present research a high order Gudonov-type method has been used for the simulation of very high pressure flow fields, as well as the capturing of strong shocks, which usually occur in explosion of high explosives. The treatment strong shocks and the flow field behind the shocks needs a very high resolution scheme. To resolve accurately the shock and the release waves behind the shock the piece­wise parabolic method (PPM) of Colella [1] was utilized in this research. A major problem which encountered in very high pressure problems is the equation of state which differs completely form the ideal-gas equation of state (EOS). Here, the original PPM is extended for real gas effect consideration.

• Structural Engineering and Mechanics
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• 제36권3호
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• pp.279-299
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• 2010

A methodology on application of the discrete singular convolution (DSC) technique to the free vibration analysis of thin plates with curvilinear quadrilateral platforms is developed. In the proposed approach, irregular physical domain is transformed into a rectangular domain by using geometric coordinate transformation. The DSC procedures are then applied to discretization of the transformed set of governing equations and boundary conditions. For demonstration of the accuracy and convergence of the method, some numerical examples are provided on plates with different geometry such as elliptic, trapezoidal having straight and parabolic sides, sectorial, annular sectorial, and plates with four curved edges. The results obtained by the DSC method are compared with those obtained by other numerical and analytical methods. The method is suitable for the problem considered due to its generality, simplicity, and potential for further development.

• Kyungpook Mathematical Journal
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• 제60권3호
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• pp.629-645
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• 2020

A uniformly convergent numerical method is developed for solving singularly perturbed 1-D parabolic convection-diffusion problems. The developed method applies a non-standard finite difference method for the spatial derivative discretization and uses the implicit Runge-Kutta method for the semi-discrete scheme. The convergence of the method is analyzed, and it is shown to be first order convergent. To validate the applicability of the proposed method two model examples are considered and solved for different perturbation parameters and mesh sizes. The numerical and experimental results agree well with the theoretical findings.