• 제목/요약/키워드: Approximations

검색결과 683건 처리시간 0.024초

Preparation of ultra-clean hydrogen and deuterium terminated Si(111)-($1{\times}1$) surfaces and re-observation of the surface phonon dispersion curves

  • Kato, H.;Taoka, T.;Murugan, P.;Kawazoe, Y.;Yamada, T.;Kasuya, A.;Suto, S.
    • 한국진공학회:학술대회논문집
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    • 한국진공학회 2009년도 제38회 동계학술대회 초록집
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    • pp.4-5
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    • 2010
  • The surface phonon is defined as a coherent vibrational excitation of surface atoms propagating along the surface. It is characterized by a phonon dispersion curves, which were extensively studied in 1990's using helium atom scattering and high-resolution electron-energy-loss spectroscopy (HREELS)[1].The understanding is mainly based on the theoretical framework of a classical bond model or cluster calculations. The recent sample preparation and first principles calculations open the naval way to deep insight for surface phonon problems. The surface phonon dispersion on the hydrogen-terminated Si(111)-($1{\times}1$) surface [H:Si(111)] is the typical system and already reported experimentally [2] and theoretically [3], although the understandingis incomplete. The sample contaminated by the oxygen atoms on the surface and the calculations were also classical. In this study, firstly, we have prepared an ultra-clean H:Si(111) surface [4] and measured the surface phonon dispersion curvesusing HREELS. Secondly, we have performed first-principles density functional calculations with the projector augmented wave functionals, as implemented in VASP, using generalized gradient approximations. We used aslab of six silicon layers and both top and bottom surfaces were terminated with hydrogen atoms. Finally, we have compared with the surface phonon dispersion of deuterium-terminatedSi(111)-($1{\times}1$) surface[5] and led to our conclusions. The Si-H stretching and the bending modes are observed at 258.5 and 78.2 meV, respectively. These energies are the same as the previously reported values [2], but the energy-loss peaks at the lower energy regions are dramatically shifted. Through this combination study, we have formulated the procedure of preparing ultra-clean H:Si(111)/D:Si(111), which was confirmed by HREELS vibrational analysis. The Si surface will be utilized for further nano-physics research as well as for the materials for nano-fubrication.

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무요소 계산법의 발전과 전개 (Development of meshfree particle Methods)

  • 이진호
    • 한국수학사학회지
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    • 제18권4호
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    • pp.49-66
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    • 2005
  • 유한요소법(Finite Element Methods)은 지난 수십 년 동안 다양한 공학문제를 해석하는 주요 수치해석기법으로서, 지속적으로 연구$\cdot$개발되어 오늘에 이르고 있다. 그러나, 유한요소법은 계산을 위하여 요소망을 구성해야 하고 일부의 문제에 대하여서는 요소망을 재구성하는 등 특별한 처리기법과 계산의 소요가 필요하다. 이와같은 단점을 극복하기 위하여 무요소법(Meshfree Methods)이라 불리우는 일단의 수치해석 기법들이 고안되었다. 무요소법은 요소를 사용하지 않고 절점(node)만을 이용하여 함수를 근사하는 수치해석기법이다. 본 논문에서는 무요소법이 고안된 배경과 그 연산구조를 소개하고 무요소법의 대표적인 방법들인 Smoothed Particle Hydrodynamics(SPH)방법, 무요소 갤러킨 방법(Meshfree Galerkin Methods) 그리고 무요소 선점법(Meshfree Point Collocation Methods)의 기본 개념과 이들 수치해석기법의 방법론을 알아본다. 그리고 이들 방법의 장단점과 그 적용 예를 통하여 무요소 계산법의 유효함을 보인다.

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관계영상정합을 이용한 초기근사값 결정 (Relational matching for solving initial approximation)

  • 조우석
    • 대한원격탐사학회지
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    • 제12권1호
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    • pp.43-59
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    • 1996
  • 이 연구는 수치사진측량의 기본과정 중의 하나인 입체영상 표정에서 관계영상정합 (relational matching)을 이용한 초기 근사값 결정에 관한 연구를 목적으로 한다. 수치입체영상에 대한 상호표정(relative orientation)을 자동화하기 위한 연구가 수치사진측량(Digital Photogrammetry) 및 컴퓨터 비젼(Computer Vision) 분야에서 많이 이루어져 왔다. 그러나 현재 까지의 자동화된 상호표정에 있어서는 초기 근사값 산정에 의한 문제가 제약조건이 되어 왔으므 로, 보다 일반적인 적용을 목적으로 관계영상정합이 제안되고 이에 대해 연구가 시작되었다. 이 연구에서는 특수한 관계설정(relational description)을 사용하여, 초기 근사값을 결정하는 보다 유연한 방법이 제시되고 적용되었으며, Cost 함수를 평가함수(evaluation fuction)로 적용하였다. 본 연구에서 제시된 관계정합방법에 일부로서 매칭오류(mismatch) 탐색과정을 부가하였다. 또 한, 반복적인 형태, 파단선, 사각지역 등이 다수 포함되어 있는 도심지의 영상에 대해 적용하므르 서 본 연구에서 제시된 관계영상정합이 실제 적용가능하다는 것을 입증하였다. 영상정합의 분야에서의 관계영상정합에 대한 이 연구는 기존의 영상정합법에 대한 장단점을 도 출하였으며, 수치사진측량 분야에서의 관계영상정합의 응용과 개발에 대한 향후의 연구방향을 제 시하였다.

Improvement of WRF forecast meteorological data by Model Output Statistics using linear, polynomial and scaling regression methods

  • Jabbari, Aida;Bae, Deg-Hyo
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2019년도 학술발표회
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    • pp.147-147
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    • 2019
  • The Numerical Weather Prediction (NWP) models determine the future state of the weather by forcing current weather conditions into the atmospheric models. The NWP models approximate mathematically the physical dynamics by nonlinear differential equations; however these approximations include uncertainties. The errors of the NWP estimations can be related to the initial and boundary conditions and model parameterization. Development in the meteorological forecast models did not solve the issues related to the inevitable biases. In spite of the efforts to incorporate all sources of uncertainty into the forecast, and regardless of the methodologies applied to generate the forecast ensembles, they are still subject to errors and systematic biases. The statistical post-processing increases the accuracy of the forecast data by decreasing the errors. Error prediction of the NWP models which is updating the NWP model outputs or model output statistics is one of the ways to improve the model forecast. The regression methods (including linear, polynomial and scaling regression) are applied to the present study to improve the real time forecast skill. Such post-processing consists of two main steps. Firstly, regression is built between forecast and measurement, available during a certain training period, and secondly, the regression is applied to new forecasts. In this study, the WRF real-time forecast data, in comparison with the observed data, had systematic biases; the errors related to the NWP model forecasts were reflected in the underestimation of the meteorological data forecast by the WRF model. The promising results will indicate that the post-processing techniques applied in this study improved the meteorological forecast data provided by WRF model. A comparison between various bias correction methods will show the strength and weakness of the each methods.

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Integrated fire dynamics and thermomechanical modeling framework for steel-concrete composite structures

  • Choi, Joonho;Kim, Heesun;Haj-ali, Rami
    • Steel and Composite Structures
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    • 제10권2호
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    • pp.129-149
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    • 2010
  • The objective of this study is to formulate a general 3D material-structural analysis framework for the thermomechanical behavior of steel-concrete structures in a fire environment. The proposed analysis framework consists of three sequential modeling parts: fire dynamics simulation, heat transfer analysis, and a thermomechanical stress analysis of the structure. The first modeling part consists of applying the NIST (National Institute of Standards and Technology) Fire Dynamics Simulator (FDS) where coupled CFD (Computational Fluid Dynamics) with thermodynamics are combined to realistically model the fire progression within the steel-concrete structure. The goal is to generate the spatial-temporal (ST) solution variables (temperature, heat flux) on the surfaces of the structure. The FDS-ST solutions are generated in a discrete form. Continuous FDS-ST approximations are then developed to represent the temperature or heat-flux at any given time or point within the structure. An extensive numerical study is carried out to examine the best ST approximation functions that strike a balance between accuracy and simplicity. The second modeling part consists of a finite-element (FE) transient heat analysis of the structure using the continuous FDS-ST surface variables as prescribed thermal boundary conditions. The third modeling part is a thermomechanical FE structural analysis using both nonlinear material and geometry. The temperature history from the second modeling part is used at all nodal points. The ABAQUS (2003) FE code is used with external user subroutines for the second and third simulation parts in order to describe the specific heat temperature nonlinear dependency that drastically affects the transient thermal solution especially for concrete materials. User subroutines are also developed to apply the continuous FDS-ST surface nodal boundary conditions in the transient heat FE analysis. The proposed modeling framework is applied to predict the temperature and deflection of the well-documented third Cardington fire test.

A Case Study on Function Point Method applying on Monte Carlo Simulation in Automotive Software Development

  • Do, Sung Ryong
    • 한국컴퓨터정보학회논문지
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    • 제25권6호
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    • pp.119-129
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    • 2020
  • 소프트웨어 개발은 다양한 프로세스 변동을 포함하기 때문에, 결정론적 이론 보다는 확률론적 이론에 더 영향을 많이 받는다. 확률론적 방식은 결정론적 방식보다 프로젝트 활동과 관련된 불확실을 고려하고, 예상되는 결과에 대해서 확률 분포로 접근하는 장점이 있다. 그러므로 소프트웨어 프로젝트를 성공하기 위해서는 확률 분포에 기반하여 범위, 규모, 비용, 공수, 일정 그리고 품질 목표를 체계적으로 관리해야 한다. 소프트웨어 규모 산정은 불확실성이 큰 개발 초기의 활동임에도 불구하고, LOC, COCOMO, FP, SLIM과 같은 결정론적 산정 방식으로 수행되고 있다. 본 연구에서는 확률적 분포 기반의 기능 점수 프로세스를 수립하고, 효과를 검증하기 위해 몬테카를로 시뮬레이션 기반의 자동차 전기전자 제어시스템 소프트웨어 개발에 적용한 사례를 제시한다. 본 연구 결과가 조직 내 기능 점수 프로세스를 수립하기 위한 가이드 및 관리자들의 정확한 의사결정 도구로 활용될 것으로 기대한다.

전도성 지질에서의 SNMR 신호 특성 (Surface nuclear magnetic resonance signal contribution in conductive terrains)

  • Hunter Don;Kepic Anton
    • 지구물리와물리탐사
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    • 제8권1호
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    • pp.73-77
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    • 2005
  • 전도성 지질에서 얻어진 지표 핵자기 공명(SNMR) 자료를 올바르게 역산하고 해석하기 위해서는 기하의 전기전도도 분포에 대한 정확한 추정이 필요하다. 이러한 추정 결과는 SNMR 수직탐사를 수행하기 이전에 전도도 구조가 지하수 탐지를 방해할 것인지에 대해 결정하는데 유용할 것이다 이 논문에서는 SNMR 모델링을 이용하여 지하 전기전도도 구조가 주어졌을 때, 대부분의 SNMR 신호를 발생하는 심도 범위를 결정하는 방법을 서술하였다. 이 논문에서는 반무한 공간에서 SNMR침투 심도를 추정하는 방법을 사용하였으며 전도성 반무한 공간(<10 ohm-m)에서는 침투심도가 50 m 이내라는 것을 보였다. 또한 이러한 반an한 공간 모델에서는 동일위치 방식의 loop 크기를 늘리더라도 침투심도를 뚜렷이 증가시키지 못함도 알 수 있었다. 이러한 결과는 좀 더 복잡한 1 차원 전도도 구조에 대한 반무한 공간 근사를 통해 전도성 지층에서 신호가 얻어질 수 있는 심도 범위를 합리적으로 추정하는데 사용될 수 있을 것이다.

Multivariate design estimations under copulas constructions. Stage-1: Parametrical density constructions for defining flood marginals for the Kelantan River basin, Malaysia

  • Latif, Shahid;Mustafa, Firuza
    • Ocean Systems Engineering
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    • 제9권3호
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    • pp.287-328
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    • 2019
  • Comprehensive understanding of the flood risk assessments via frequency analysis often demands multivariate designs under the different notations of return periods. Flood is a tri-variate random consequence, which often pointing the unreliability of univariate return period and demands for the joint dependency construction by accounting its multiple intercorrelated flood vectors i.e., flood peak, volume & durations. Selecting the most parsimonious probability functions for demonstrating univariate flood marginals distributions is often a mandatory pre-processing desire before the establishment of joint dependency. Especially under copulas methodology, which often allows the practitioner to model univariate marginals separately from their joint constructions. Parametric density approximations often hypothesized that the random samples must follow some specific or predefine probability density functions, which usually defines different estimates especially in the tail of distributions. Concentrations of the upper tail often seem interesting during flood modelling also, no evidence exhibited in favours of any fixed distributions, which often characterized through the trial and error procedure based on goodness-of-fit measures. On another side, model performance evaluations and selections of best-fitted distributions often demand precise investigations via comparing the relative sample reproducing capabilities otherwise, inconsistencies might reveal uncertainty. Also, the strength & weakness of different fitness statistics usually vary and having different extent during demonstrating gaps and dispensary among fitted distributions. In this literature, selections efforts of marginal distributions of flood variables are incorporated by employing an interactive set of parametric functions for event-based (or Block annual maxima) samples over the 50-years continuously-distributed streamflow characteristics for the Kelantan River basin at Gulliemard Bridge, Malaysia. Model fitness criteria are examined based on the degree of agreements between cumulative empirical and theoretical probabilities. Both the analytical as well as graphically visual inspections are undertaken to strengthen much decisive evidence in favour of best-fitted probability density.

Domain decomposition technique to simulate crack in nonlinear analysis of initially imperfect laminates

  • Ghannadpour, S. Amir M.;Karimi, Mona
    • Structural Engineering and Mechanics
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    • 제68권5호
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    • pp.603-619
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    • 2018
  • In this research, an effective computational technique is carried out for nonlinear and post-buckling analyses of cracked imperfect composite plates. The laminated plates are assumed to be moderately thick so that the analysis can be carried out based on the first-order shear deformation theory. Geometric non-linearity is introduced in the way of von-Karman assumptions for the strain-displacement equations. The Ritz technique is applied using Legendre polynomials for the primary variable approximations. The crack is modeled by partitioning the entire domain of the plates into several sub-plates and therefore the plate decomposition technique is implemented in this research. The penalty technique is used for imposing the interface continuity between the sub-plates. Different out-of-plane essential boundary conditions such as clamp, simply support or free conditions will be assumed in this research by defining the relevant displacement functions. For in-plane boundary conditions, lateral expansions of the unloaded edges are completely free while the loaded edges are assumed to move straight but restricted to move laterally. With the formulation presented here, the plates can be subjected to biaxial compressive loads, therefore a sensitivity analysis is performed with respect to the applied load direction, along the parallel or perpendicular to the crack axis. The integrals of potential energy are numerically computed using Gauss-Lobatto quadrature formulas to get adequate accuracy. Then, the obtained non-linear system of equations is solved by the Newton-Raphson method. Finally, the results are presented to show the influence of crack length, various locations of crack, load direction, boundary conditions and different values of initial imperfection on nonlinear and post-buckling behavior of laminates.

대역폭 제한 그래프신호를 위한 저 복잡도 샘플링 집합 선택 알고리즘 (Low-complexity Sampling Set Selection for Bandlimited Graph Signals)

  • 김윤학
    • 한국정보통신학회논문지
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    • 제24권12호
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    • pp.1682-1687
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    • 2020
  • 대역폭 제한 그래프신호의 신호복원을 위해서 최대의 정보를 제공하기 위한 그래프 상의 노드를 선택하는 샘플링 집합 선택 알고리즘에 대해 연구한다. 저 복잡도 선택알고리즘을 구현하기 위해 직접적인 비용함수인 신호 복원오차를 최소화 하는 대신, 신호 복원오차의 최대값을 최소화하는 방법에 대해 집중한다, 이를 위해, 추가적인 복잡도 개선을 위해 유용한 근사화공식을 적용하여 성능손실을 최소화하면서 복잡도를 개선한 저 복잡도 탐욕알고리즘을 제안한다. 다양한 그래프신호에 대한 폭넓은 실험을 통해, 기존 저 복잡도 방식과 신호복원성능 및 복잡도를 평가 비교하여 기존방식대비 신호복원 및 복잡도면에서 모두 성능 개선이 있음을 보였으며, 이는 실시간 응용분야에서 실용적인 해결방식으로써 경쟁력 있는 대안을 제시한다.