• 전기의세계
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• 제28권6호
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• pp.47-51
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• 1979

An optimal problem in which the dynamics is nonlinear and the cost functional includes a discontinuous integrand is investigated. By using Neustadt's abstract maximum principle, a necessary conditions in the form of Pontryagin's maximum principle is derived and it is further shown that this necessary condition is also a sufficient condition for normal problems with linear-in-the-state systems.

• Journal of applied mathematics & informatics
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• 제37권1_2호
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• pp.123-131
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• 2019

In this paper, we introduce a uniform mesh method for a Maxwell's equation with discontinuous coefficients. We observe optimal O(h) order for the electric field and O(h) order for the curl.

• 호남수학학술지
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• 제44권4호
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• pp.485-503
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• 2022

In this work, a discontinuous singular Dirac system is studied. For this system, a spectral function is constructed. Finally, by using the spectral function, a spectral expansion formula is given.

• Journal of international Conference on Electrical Machines and Systems
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• 제3권4호
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• pp.362-366
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• 2014

In recent years, a permanent magnet linear synchronous motor (PMLSM) has been used in various kinds of transportation applications for its relative high power density and efficiency. The general transportation system arranges the armature on the full length of transportation lines. However, when this method is applied to long distance transportation system, it causes increase of material cost and manufacturing time. Thus, in order to resolve this problem, we suggested stationary discontinuous armature PMLSM. However, the stationary discontinuous armature PMLSM contains the edges which always exist as a result of the discontinuous arrangement of the armature. These edges become a problem because the cogging force that they exert bad influences the controllability of the motor. Therefore, in this paper we proposed the combination of skewed magnets and stair shape auxiliary teeth to reduce the force by edge effect. Moreover, we analyzed the influence of the design factors by using a 3-D finite element method (FEM) simulation tool.

• Journal of Microbiology and Biotechnology
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• 제9권4호
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• pp.522-524
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• 1999

A discontinuous Percoll gradient was used to separate islets from the collagenase-treated mouse pancreas easily and rapidly. Since the osmolality of Percoll is very low, adjustment of its osmolality to 340 mOs/kg $H_2$O was essential for securing the optimal separation. A discontinuous gradient layering with Percoll solution of 1.09 g, 1.07g, and1.05g/m, respectively, when centrifuged at 800$\times$g for 10 min, resulted in an optimal condition for separation and yielded a banding pattern with an even distribution of islet cells. No significant difference was observed in the morphological features between the Percoll-isolated and the manually-isolated islets. In conclusion, the discontinuous Percoll gradient can be effectively used to isolate the pancreatic islets from mice with four-fold higher efficiency compared to the handpicking method.

• 한국콘텐츠학회논문지
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• 제13권3호
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• pp.428-434
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• 2013

빈발하고 있는 대규모 홍수와 자연재해는 정확도가 높은 하천 흐름 수치해석 모델에 대한 관심의 증대로 이어지고 있다. 현재 하천에서 발생하는 일반적인 흐름은 기존에 개발된 여러 형태의 천수방정식을 지배방정식으로 하는 수치기법에 의해 해석되고 있으나, 연속적이지 않은 형태의 흐름을 해석하거나 매우 정확한 해석을 필요로 하는 경우에는 기존의 수치해석기법은 많은 한계를 보여 주고 있다. 본 연구에서는 불연속 갤러킨 기법 기반의 흐름 모델을 개발하고, 이를 이용하여 전통적으로 1차원 천이류로 분류되는, 댐 붕괴파, 둔덕위 흐름 모의에 적용하여 기존의 수치해와 대체로 잘 일치함을 확인하였다.

• 터널과지하공간
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• 제9권2호
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• pp.149-157
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• 1999

불연속 변형 해석법(Discontinuous Deformation Analysis Method)은 1988년에 Shi에 의해 개발되었으며, 암반-구조물 상호작용 모델링에 매우 효율적인 해석법이다. 이 해석법에서 암반은 유한하고 변형가능한 블록으로 간주되며, 암반의 대변형 및 이동이 가능하다. 그 후, DDA 방법에 대한 여러가지 보완사례가 발표되었으나, 균열이 발달한 암반의 지표 또는 지중 굴착 모델링에 긴요한 지하수-암반블록 상호작용 모델링은 불가능하다. 본 논문에서는 암반 블록 사이의 수리 력학적 커플링을 고려하기 위한 새로운 방법이 제시된다. 또한, 이 방법이 보완된 새로운 DDA해석법의 적용 예가 제시된다. 본 연구결과 암반 균열 사이를 흐르는 지하수는 터널의 안정성에 나쁜 영향을 미친다는 사실이 확인되었다.

• Nuclear Engineering and Technology
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• 제52권6호
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• pp.1137-1147
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• 2020

The discrete ordinates method (S_N) is one of the major shielding calculation method, which is suitable for solving deep-penetration transport problems. Our objective is to explore the available quadrature sets and to improve the accuracy in shielding problems involving strong anisotropy. The linear discontinuous finite-element (LDFE) quadrature sets based on the icosahedron (in short, ICLDFE quadrature sets) are developed by defining projected points on the surfaces of the icosahedron. Weights are then introduced in the integration of the discontinuous finite-element basis functions in the relevant angular regions. The multivariate secant method is used to optimize the discrete directions and their corresponding weights. The numerical integration of polynomials in the direction cosines and the Kobayashi benchmark are used to analyze and verify the properties of these new quadrature sets. Results show that the ICLDFE quadrature sets can exactly integrate the zero-order and first-order of the spherical harmonic functions over one-twentieth of the spherical surface. As for the Kobayashi benchmark problem, the maximum relative error between the fifth-order ICLDFE quadrature sets and references is only -0.55%. The ICLDFE quadrature sets provide better integration precision of the spherical harmonic functions in local discrete angle domains and higher accuracy for simple shielding problems.

• 전기학회논문지
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• 제61권11호
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• pp.1611-1616
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• 2012

Recently, the stationary discontinuous armature Permanent Magnet Linear Synchronous Motor(PM-LSM) was suggested as a driving source for long-distance transportation system. However, as these motors arrange armatures discontinuously, there occurs an edge which causes the cogging force. This works as a factor that bothers acceleration and deceleration that takes place when movers enter into and eject from the armatures. Therefore, installation of auxiliary teeth on the edge of armature of PM-LSM is suggested in order to reduce cogging force caused by the edge when the armature is placed in a discontinuous arrangement. But length of auxiliary teeth can be changed if install it with auxiliary pole in order to decrease more and more edge cogging force. On this, in the study, decided on a design variable of auxiliary teeth and used 2-D FEA, and examined edge cogging force characteristic along this in order to grasp length of auxiliary teeth changed according to installation positions of an auxiliary pole.

• 한국전산유체공학회:학술대회논문집
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• 한국전산유체공학회 2011년 춘계학술대회논문집
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• pp.311-317
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• 2011

The present paper deals with the continuous works of extending the multi-dimensional limiting process (MLP) for compressible flows, which has been quite successful in finite volume methods, into discontinuous Galerkin (DG) methods. From the series of the previous, it was observed that the MLP shows several superior characteristics, such as an efficient controlling of multi-dimensional oscillations and accurate capturing of both discontinuous and continuous flow features. Mathematically, fundamental mechanism of oscillation-control in multiple dimensions has been established by satisfaction of the maximum principle. The MLP limiting strategy is extended into DG framework, which takes advantage of higher-order reconstruction within compact stencil, to capture detailed flow structures very accurately. At the present, it is observed that the proposed approach yields outstanding performances in resolving non-compressive as well as compressive flaw features. In the presentation, further numerical analyses and results are going to be presented to validate that the newly developed DG-MLP methods provide quite desirable performances in controlling numerical oscillations as well as capturing key flow features.