• 대한수학회논문집
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• 제12권2호
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• pp.419-425
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• 1997

Consider a d-dimensional domain D that has finite Lebesque measure and a Dirichlet form which has discontinuous coefficient. Then the stationary Markov process corresponding to the given Dirichlet form is a semimartingale under suitable condition for D and the coefficient.

• 대한수학회보
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• 제52권6호
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• pp.1945-1962
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• 2015

This paper is mainly concerned with the formation of delta standing wave for the scalar conservation law with a linear flux function involving discontinuous coefficients by using the self-similar viscosity vanishing method. More precisely, we use the self-similar viscosity to smooth out the discontinuous coefficient such that the existence of approximate viscous solutions to the delta standing wave for the Riemann problem is established and then the convergence to the delta standing wave solution is also obtained when the viscosity parameter tends to zero. In addition, the Riemann problem is also solved with the standard method and the instability of Riemann solutions with respect to the specific small perturbation of initial data is pointed out in some particular situations.

• 한국수자원학회논문집
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• 제55권10호
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• pp.811-821
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• 2022

불연속 지형 전면에 작용하는 정수압 분포에 실제 압력과 차이를 해명하는 흐름률 보정 계수를 도입하여 불연속 지형을 직접 해석하는 Hwang의 기법이 적용된 수치 모형의 정확도를 높일 수 있었다. 218개 실험 시행으로 직각 광정 위어의 월류량에 가장 적합한 계수를 결정하였으며, 이것을 별도의 두 가지 직립 광정 위어 실험과 측면 위어 부정류 실험에 적용해보니 실험과 모의에서 월류량이 서로 잘 일치하였다. 이로써 조밀한 격자로 불연속 지형을 완화하거나 내부 경계를 부여하지 않고도 직각 광정 위어와 같은 불연속 하천 구조물을 지나는 천수 흐름의 정확한 수치 모의가 가능해졌다.

• 대한수학회보
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• 제29권1호
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• pp.145-151
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• 1992

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제26권4호
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• pp.244-262
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• 2022

In this paper, we analyze the hybridizable discontinuous Galerkin (HDG) method for second-order elliptic equations with nonlinear coefficients, which are used in many fields. We present the HDG method that uses a mixed formulation based on numerical trace and flux. Under assumptions on the nonlinear coefficient and H²-regularity for a dual problem, we prove that the discrete systems are well-posed and the numerical solutions have the optimal order of convergence as a mesh parameter. Also, we provide a matrix formulation that can be calculated using an iterative technique for numerical experiments. Finally, we present representative numerical examples in 2D to verify the validity of the proof of Theorem 3.10.

• 대한수학회지
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• 제54권1호
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• pp.249-265
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• 2017

Interface problem here refers to a second order elliptic problem with a discontinuous coefficient for the second order derivatives. For the corresponding boundary value problem, the maximum principle still holds but Hopf's boundary point lemma may fail. We will give an optimal power type estimate that replaces Hopf's lemma at those boundary points, where this coefficient jumps.

• 한국통신학회논문지
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• 제17권5호
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• pp.460-471
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• 1992

본 논문에서는 최근에 주로 사용되는 디지털 PLL중 Tri-State 방식과 sample-Hold 방식을 사용한 PLL루프의 시간 불연속 동작을 묘사하기 위한 새로운 모델을 설정하여 비선형 PLL의 안정도 해석을 Z영역에서 하였으며 과도응답을 구하기 위한 상태방정식을 유도하였다. 종래에는 디지털 PLL의 시간 불연속 동작을 시간 연속 동작으로 근사화 시켜 선형적 해석을 하므로써 실제로는 시간 불연속 동작을 하는 디지털 PLL의 불안정한 영역을 정확히 찾아내지 못하였으나 새로운 모델에 의한 Z영역에서의 해석에서는 시간연속 해석에서 발견할 수 없었던 불안정 영역을 밝혀냄으로써 디지털 PLL의 최적 설계가 가능하도록 루프계수의 한계를 구하였다.

• 한국공작기계학회논문집
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• 제17권3호
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• pp.101-107
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• 2008

A composite mechanics for discontinuous fiber reinforced polymer matrix composites(PMC) is analysed in order to predict fiber axial stresses. In continuum approach. frictional slip which usually takes place between fibers and polymers is accounted to derive PMC equations. The interfacial friction stress is treated by the product of the coefficient of friction and the compressive stress norma1 to the fiber/matrix interface. The residual stress and the Poisson's contraction implemented by the rule of mixture(ROM) are considered for the compressive stress normal to the fiber/matrix interface. In addition. the effects of fiber aspect ratio and fiber volume fraction on fiber axial stresses are evaluated using the derived equations. Results are illustrated numerically using the present equations with reasonable materials data. It is found that the fiber axial stress in the center region shows no great discrepancy for different fiber aspect ratios and fiber volume fractions while some discrepancies are shown in the fiber end region.

• Structural Engineering and Mechanics
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• 제6권1호
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• pp.63-76
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• 1998

This paper presents dynamic responses of structures with sliding base which limits the translation of external loads from ground excitation. A discrete element model based on the discontinuous deformation analysis method is proposed to study this sliding boundary problem. The sliding base is simulated using sets of fictitious contact springs along the sliding interface. The set of contact spring is to translate friction force from ground to superstructure. Validity of the proposed model is examined by the closed-form solutions of an idealized mass-spring structural model subjected to harmonic ground excitation. This model is also applied to a problem of a three-story structural model subjected to the ground excitation of 1940 El Centro earthquake. Analyses of both sliding-base and fixed-base conditions are performed as comparisons. This study shows that using this model can simulate the dynamic response of a sliding structure with frictional cut-off quite accurately. Results reveal that lowering the frictional coefficient of the sliding joint will reduce the peak responses. The structure responses in little deformation, but it displaces at the end of excitation.

• 한국세라믹학회지
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• 제33권1호
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• pp.74-82
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• 1996

Fe-Si based powders prepare by melting the metals in the composition of FeSi2,.Fe0.95Mn0.05Si2 and Fe0.95Co0.05Si0.2 were used as the starting materials together with a commercial FeSi2 powder to study the effect of oxidation on their thermoelectric properties. The powders were heated at 650~80$0^{\circ}C$ in dired air before forming and sintering at 1190 and 120$0^{\circ}C$ in Ar+7%H2. The microstructure and phases of the annealed specimens were observed using the optical microscopty SEM, EDS and XRD. The thermoelectric properties of the specimens were also measured. The temperature at which Seebe다 coefficient showed the maximum value increased with the degree of oxidation. Electrical conductivity showed a tendency to decrease in the oxidized samples regardless of their compositions. Seebeck coefficient of the specimen showed almost the same value even after oxidation which may be explained by the formation of the discontinuous second phases from impurities in the oxidized specimens.