• 제목/요약/키워드: differential operators

검색결과 154건 처리시간 0.024초

Singular Representation and Finite Element Methods

  • 김석찬
    • 한국전산응용수학회:학술대회논문집
    • /
    • 한국전산응용수학회 2003년도 KSCAM 학술발표회 프로그램 및 초록집
    • /
    • pp.9-9
    • /
    • 2003
  • Let $\Omega$ be a bounded, open, and polygonal domain in $R^2$ with re-entrant corners. We consider the following Partial Differential Equations: $$(I-\nabla\nabla\cdot+\nabla^{\bot}\nabla\times)u\;=\;f\;in\;\Omega$$, $$n\cdotu\;0\;0\;on\;{\Gamma}_{N}$$, $${\nabla}{\times}u\;=\;0\;on\;{\Gamma}_{N}$$, $$\tau{\cdot}u\;=\;0\;on\;{\Gamma}_{D}$$, $$\nabla{\cdot}u\;=\;0\;on\;{\Gamma}_{D}$$ where the symbol $\nabla\cdot$ and $\nabla$ stand for the divergence and gradient operators, respectively; $f{\in}L^2(\Omega)^2$ is a given vector function, $\partial\Omega=\Gamma_{D}\cup\Gamma_{N}$ is the partition of the boundary of $\Omega$; nis the outward unit vector normal to the boundary and $\tau$represents the unit vector tangent to the boundary oriented counterclockwise. For simplicity, assume that both $\Gamma_{D}$ and $\Gamma_{N}$ are nonempty. Denote the curl operator in $R^2$ by $$\nabla\times\;=\;(-{\partial}_2,{\partial}_1$$ and its formal adjoint by $${\nabla}^{\bot}\;=\;({-{\partial}_1}^{{\partial}_2}$$ Consider a weak formulation(WF): Find $u\;\in\;V$ such that $$a(u,v):=(u,v)+(\nabla{\cdot}u,\nabla{\cdot}v)+(\nabla{\times}u,\nabla{\times}V)=(f,v),\;A\;v{\in}V$$. (2) We assume there is only one singular corner. There are many methods to deal with the domain singularities. We introduce them shortly and we suggest a new Finite Element Methods by using Singular representation for the solution.

  • PDF

A PARTIAL CAYLEY TRANSFORM OF SIEGEL-JACOBI DISK

  • Yang, Jae-Hyun
    • 대한수학회지
    • /
    • 제45권3호
    • /
    • pp.781-794
    • /
    • 2008
  • Let $\mathbb{H}_g$ and $\mathbb{D}_g$ be the Siegel upper half plane and the generalized unit disk of degree g respectively. Let $\mathbb{C}^{(h,g)}$ be the Euclidean space of all $h{\times}g$ complex matrices. We present a partial Cayley transform of the Siegel-Jacobi disk $\mathbb{D}_g{\times}\mathbb{C}^{(h,g)}$ onto the Siegel-Jacobi space $\mathbb{H}_g{\times}\mathbb{C}^{(h,g)}$ which gives a partial bounded realization of $\mathbb{H}_g{\times}\mathbb{C}^{(h,g)}$ by $\mathbb{D}_g{\times}\mathbb{C}^{(h,g)}$. We prove that the natural actions of the Jacobi group on $\mathbb{D}_g{\times}\mathbb{C}^{(h,g)}$. and $\mathbb{H}_g{\times}\mathbb{C}^{(h,g)}$. are compatible via a partial Cayley transform. A partial Cayley transform plays an important role in computing differential operators on the Siegel Jacobi disk $\mathbb{D}_g{\times}\mathbb{C}^{(h,g)}$. invariant under the natural action of the Jacobi group $\mathbb{D}_g{\times}\mathbb{C}^{(h,g)}$ explicitly.

Central Moments를 이용한 경계선 검출 (Edge Extraction Using Central Moments)

  • 김학상;김영모;박길흠;이광호;하영호
    • 대한전자공학회논문지
    • /
    • 제25권10호
    • /
    • pp.1244-1251
    • /
    • 1988
  • 영상에서 명암도의 변화가 큰 영역을 경계선이라 하며 이는 영상을 분류하고 해석하는 가장 기본적인 특징 중의 하나이다. 본 논문에서는 central moments에 의한 새로운 경계선 검출 방법을 제안하였다. 제안된 방법은 서로 다르게 정의된 확률변수 및 확률밀도함수와 moment의 차수에 따라 여러 가지 특성을 가진 경계선을 검출하였다. 또한 미분이 아닌 창내의 명암도의 평균과 각 화소와의 차를 적분한 연산자로서 기존의 연산자보다 잡음에 우수하며 가늘고 섬세한 경계선을 검출하였다.

  • PDF

위그너-빌 분포함수의 계산시 창문함수의 적용에 의한 바이어스 오차 (The Bias Error due to Windows for the Wigner-Ville Distribution Estimation)

  • 박연규;김양한
    • 한국소음진동공학회:학술대회논문집
    • /
    • 한국소음진동공학회 1995년도 추계학술대회논문집; 한국종합전시장, 24 Nov. 1995
    • /
    • pp.80-85
    • /
    • 1995
  • Too see the effects of finite record on the estimation of WVD in practice, a window which has time varying length is examined. Its length increases linearly with time in the first half of the record, and decreases from the center of the record. The bias error due to this window decreases inversely proportionally to the window length as time increases in the first half. In the second half, the bias error increases and the resolution decreases as time increases. The bias error due to the smoothing of WVD, which is obtained by two-dimensional convolution of the true WVD and the smoothing window, which has fixed lengths along time and frequency axes, is derived for arbitrary smoothing window function. In the case of using a Gaussian window as a smoothing window, the bias error is found to be expressed as an infinite summation of differential operators. It is demonstrated that the derived formula is well applicable to the continuous WVD, but when WVD has some discontinuities, it shows the trend of the error. This is a consequence of the assumption of the derivation, that is the continuity of WVD. For windows other than Gaussian window, the derived equation is shown to be well applicable for the prediction of the bias error.

  • PDF

An improved parametric formulation for the variationally correct distortion immune three-noded bar element

  • Mukherjee, Somenath;Manju, S.
    • Structural Engineering and Mechanics
    • /
    • 제38권3호
    • /
    • pp.261-281
    • /
    • 2011
  • A new method of formulation of a class of elements that are immune to mesh distortion effects is proposed here. The simple three-noded bar element with an offset of the internal node from the element center is employed here to demonstrate the method and the principles on which it is founded upon. Using the function space approach, the modified formulation is shown here to be superior to the conventional isoparametric version of the element since it satisfies the completeness requirement as the metric formulation, and yet it is in agreement with the best-fit paradigm in both the metric and the parametric domains. Furthermore, the element error is limited to only those that are permissible by the classical projection theorem of strains and stresses. Unlike its conventional counterpart, the modified element is thus not prone to any errors from mesh distortion. The element formulation is symmetric and thus satisfies the requirement of the conservative nature of problems associated with all self-adjoint differential operators. The present paper indicates that a proper mapping set for distortion immune elements constitutes geometric and displacement interpolations through parametric and metric shape functions respectively, with the metric components in the displacement/strain replaced by the equivalent geometric interpolation in parametric co-ordinates.

한국인의 스테레오타입에 부합하는 공정제어용 이어콘 설계 가이드라인의 도출 (Guidelines for Designing Earcons to Deliver Process Control Information using its Semantic Association)

  • 김상호;김진수
    • 대한안전경영과학회지
    • /
    • 제13권1호
    • /
    • pp.81-89
    • /
    • 2011
  • It is presumable that properly designed earcons given simultaneously with visual information could enhance the situation awareness of operators when they are involving in highly complicate process control activities. In this study, population stereotypes of earcons with respect to process control information were identified using 60 Korean subjects. To do this, 11 most distinctive earcons were selected from various earcons having different pitch, rhythm, and timbre. Associations between the selected earcons and 40 pairs of adjectives used to describe the state of control in process were gathered from 37 subjects using a semantic differential method. Based on the results from multivariate analyses, the 40 pairs of adjectives were aggregated into three distinctive semantic dimensions. The emotional maps of the 11 earcons matched with the semantic dimensions were presented in this study. On the basis of these results, a general guideline was suggested for designing earcons to deliver process control information.

교육부 고시 개정이 대학 현장실습학기제에 미치는 영향: 대학 현장실습 운영자의 인식을 중심으로 (Effects of the Amendment of Regulation of Ministry of Education and Co-op: Focusing on the Perception of University Co-op Operators)

  • 김태형;유영삼;박지성;황의택
    • 공학교육연구
    • /
    • 제26권3호
    • /
    • pp.49-59
    • /
    • 2023
  • On July 6, 2021, the Ministry of Education revised and announced the operating regulations of the undergraduate co-op with the aim of protecting students rights and student-centered operation based on mutual benefits for students and institutions. Therefore, the purpose of this study is to analyze universities' perceptions against the amendment of regulation of the Ministry of Education's into universities/college, regions. According to a survey of 75 KACE, we found that colleges are more difficult than universities in terms of administrative work, company participation, reduced opportunities for co-op, and managing participating companies. Next, most of the regional differences in difficulties were not significant, and only the decline in company participation rate was more difficult in Daegyoung/Gangwon/Chungcheong/Jeju than in the metropolitan area. Finally, policy directions such as the differential application of practical support expenses according to the size of the company, tax benefits for institutions, and clarification of the concept of job training were presented.

무인 스피드 스프레이어의 개발(I) -원격제어 및 유도케이블 시스템- (Development of Unmanned Speed Sprayer(I) -Remote Control and Induction Cable System-)

  • 장익주;김태한;조명동
    • Journal of Biosystems Engineering
    • /
    • 제20권3호
    • /
    • pp.226-235
    • /
    • 1995
  • 과수원 방제 작업 시 인체에 해로운 농약으로부터 운전자를 보호하고 노동력 및 농약의 절감, 환경오염의 방지 등의 효과를 꾀하기 위하여 무선 전파 리모콘을 이용한 무인 스피드 스프레이어의 원격제어 시스템을 개발함과 동시에 유도케이블식 주행유도 장치에 의한 자율주행 무인스피드 스프레이어를 개발하였다. 무인 스피드 스프레이어는 원격조종 시스템, 유도케이블 시스템, 장해물 검출장치, 제어 액튜에이터 등으로 구성되어 있고 원격조종 및 자율주행이 가능한 시스템이다. 무인화 한 스피드 스프레이어의 특징은 다음과 같다. 1) 무선 전파 리모콘과 유도 케이블에 의한 주행 유도장치를 개발하여 스피드 스프레이어에 장착한 결과 리모콘 조작방식과 주행 유도방식 모두 가능하였다. 2) 원격 조종은 주행 (전진, 후진), 조향, 3방향의 노즐 및 팬, 분무기, 주행정지 등 16종류의 조작이 가능하다. 3) 농업용 리모콘으로는 FSK방식보다 전송에러가 적은 DTMF방식이 우수하였으며, 농업용 특정 소전력 무선국이 필요하다고 생각된다. 4) 5개의 저임피던스 검출코일과 윈도우 컴퍼레이터 회로로 구성된 디지털식 케이블 유도 시스템은 2개의 검출코일에 유기 된 상대적 전압치로서 궤도를 수정하는 아날로그 검출방식보다 주행 성능이 우수하였다.

  • PDF

파랑 중 오일붐 성능 예측을 위한 2차원 입자법 시뮬레이션 (2-Dimensional Moving Particle Simulation for Prediction of Oil Boom Performance in Waves)

  • 남정우;박지인;황성철;박종천;정세민
    • 한국해양공학회지
    • /
    • 제27권4호
    • /
    • pp.90-97
    • /
    • 2013
  • Oil booms are one of the most widely used types of equipment for the protection of coastal areas against oil spills. In some situations, however, there are several types of oil leaks from the oil boom. Important factors regarding these phenomena include the surrounding ocean environment, such as waves, the density and viscosity of oil, the length of the oil boom skirt, etc. To estimate the performance of the oil boom, it is necessary to predict the behavior of the spilled oil and oil boom. In the present study, the prediction of oil boom performance in waves was carried out using the Pusan-National-University-modified Moving Particle Semi-implicit (PNU-MPS) method, which is an improved version of the original MPS proposed by Koshizuka and Oka (1996). The governing equations, which consist of continuity and Navier-Stokes equations, are solved by Lagrangian moving particles, and all terms expressed by differential operators in the governing equations are replaced by the particle interaction models based on a kernel function. The simulation results were validated through a comparison with the results of Violeau et al. (2007)..

유전알고리즘 기반의 사용자 파라미터 설정과 코드 진행을 고려한 리듬과 멜로디 자동 작곡 시스템 (An Automatic Rhythm and Melody Composition System Considering User Parameters and Chord Progression Based on a Genetic Algorithm)

  • 정재훈;안창욱
    • 정보과학회 논문지
    • /
    • 제43권2호
    • /
    • pp.204-211
    • /
    • 2016
  • 본 논문에서는 주어진 코드 진행에서 비화성음을 활용한 화려한 멜로디를 자동으로 생성하는 새로운 진화적 자동 음악 작곡 시스템을 제안한다. 전체 시스템은 리듬 생성과 멜로디 생성의 두 단계로 나누어지며, 사용자 설정 파라미터로 제어되는 리듬 적합도 평가 함수와 화성학 기반으로 설계된 멜로디 적합도 평가 함수, 그리고 멜로디 최적화 성능 향상을 위해 설계된 음악적 문맥을 고려한 진화연산을 소개한다. 제안하는 리듬 적합도 평가 함수의 최적화에서 표준 유전알고리즘과 엘리티즘이 적용된 유전알고리즘, 차분진화 알고리즘, 그리고 입자군집최적화 알고리즘의 비교 실험을 하였으며, 멜로디 적합도 평가함수 최적화에서 위 4가지 알고리즘과 제안하는 진화연산을 적용한 유전알고리즘과의 비교 실험을 통해 성능을 검증하고, 생성된 멜로디에 대한 음악적 분석을 수행하였다.