• 제목/요약/키워드: local-global approximation

검색결과 43건 처리시간 0.027초

설계지향 구조 재해석 모델의 비교 평가 (Comparative assessment for Design Oriented Structural Reanalysis Models)

  • 황진하;이재석;김경일
    • 한국강구조학회 논문집
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    • 제12권1호통권44호
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    • pp.45-54
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    • 2000
  • 본 연구는 반복되는 중간단계의 구조설계과정에 연동되는 근사 재해석 모델을 비교 평가하고, 특히 설계변수가 크게 변화할 때도 일정한 정확도를 유지하여 전체 설계과정에 효율성과 신뢰성을 함께 줄 수 있는 안정된 모델을 찾는다. 이를 위해 대형 프레임구조를 대상으로 설계변수 그룹의 갯수와 변화량을 달리하면서 최대 변위값을 정해와 비교하여 정확도 및 신뢰성을 검토하고, CPU 연산시간 비교를 통해 효율성을 시험한다. 예제를 통하여 부분근사화는 가장 간편하고 빠르기는 하나 설계의 면화가 극히 적은 특정한 경우에만 유용한 반면 전역근사화는 기저벡터를 효과적으로 취할 경우 설계 변화량이 클 때에도 비교적 높은 정확도를 유지하나 효율성이 떨어지는 취약점을 갖고 있다. 이들에 비해 전역-부분근사화는 어느 경우에나 높은 정확성과 효율성을 아울러 갖추고 있음을 보여준다. 이 방법들을 구조 재설계 과정에 연계할 때 설계정보에 따라 혼용하므로써 효율성을 증대시킬 수 있다.

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다단계 혼성근사화에 의한 부구조화 기반 구조 재해석 (Substructuring-based Structural Reanalysis by Multilevel Hybrid Approximation)

  • 황진하;김경일;이학술
    • 한국전산구조공학회논문집
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    • 제12권3호
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    • pp.397-406
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    • 1999
  • 본 연구는 부구조화에 기초한 다단계 혼성 구조 재해석방법을 제시한다. 부구조화의 틀에 보존근사화의 각 항을 차원축소법의 기저로 한 보존 전역-부분근사화에 의하여 변위 산정의 정확성과 효율성을 확보하고, 이를 바탕으로 이미 구성된 응력-변위 관계식을 병용하는 혼성방식을 통하여 전체 설계의 중간 단계에서 반복되는 재해석 과정의 신뢰성을 높인다. 전체적으로 선형근사화와 상반근사화를 교차적용하는 1단계 보존근사화로부터 전역 근사화와 결합하여 구하는 변위산정과 그에 종속되는 행렬연산으로 산출하는 응력계산의 3단계로 이루어지는 본 방법은 대형 구조계를 대상으로 하여, 해석의 기본 틀로 부구조화 방법을 택하였으며, 몇 개의 예제들을 통하여 타당성 및 유용성을 검증하였다.

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다공매체를 통과하는 유동문제의 유한요소해석과 부분해석후 오차계산 (Finite Element Analysis and Local a Posteriori Error Estimates for Problems of Flow through Porous Media)

  • 이춘열
    • 대한기계학회논문집A
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    • 제21권5호
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    • pp.850-858
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    • 1997
  • A new a posteriori error estimator is introduced and applied to variational inequalities occurring in problems of flow through porous media. In order to construct element-wise a posteriori error estimates the global error is localized by a special mixed formulation in which continuity conditions at interfaces are treated as constraints. This approach leads to error indicators which provide rigorous upper bounds of the element errors. A discussion of a compatibility condition for the well-posedness of the local error analysis problem is given. Two numerical examples are solved to check the compatibility of the local problems and convergence of the effectivity index both in a local and a global sense with respect to local refinements.

함수 근사화를 위한 방사 기저함수 네트워크의 전역 최적화 기법 (A Global Optimization Method of Radial Basis Function Networks for Function Approximation)

  • 이종석;박철훈
    • 정보처리학회논문지B
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    • 제14B권5호
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    • pp.377-382
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    • 2007
  • 본 논문에서는 방사 기저함수 네트워크의 파라미터를 전 영역에서 최적화하는 학습 알고리즘을 제안한다. 기존의 학습 알고리즘들은 지역 최적화만을 수행하기 때문에 성능의 한계가 있고 최종 결과가 초기 네트워크 파라미터 값에 크게 의존하는 단점이 있다. 본 논문에서 제안하는 하이브리드 모의 담금질 기법은 모의 담금질 기법의 전 영역 탐색 능력과 경사 기반 학습 알고리즘의 지역 최적화 능력을 조합하여 전 파라미터 영역에서 해를 찾을 수 있도록 한다. 제안하는 기법을 함수 근사화 문제에 적용하여 기존의 학습 알고리즘에 비해 더 좋은 학습 및 일반화 성능을 보이는 네트워크 파라미터를 찾을 수 있으며, 초기 파라미터 값의 영향을 크게 줄일 수 있음을 보인다.

ON SOME OUTSTANDING PROBLEMS IN NUCLEAR REACTOR ANALYSIS

  • Cho, Nam-Zin
    • Nuclear Engineering and Technology
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    • 제44권2호
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    • pp.207-224
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    • 2012
  • This article discusses selects of some outstanding problems in nuclear reactor analysis, with proposed approaches thereto and numerical test results, as follows: i) multi-group approximation in the transport equation, ii) homogenization based on isolated single-assembly calculation, and iii) critical spectrum in Monte Carlo depletion.

Recognition of Profile Contours of Human Face by Approximation - Recognition

  • Yang, Yun-Mo
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1988년도 전기.전자공학 학술대회 논문집
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    • pp.683-686
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    • 1988
  • In the recognition of similar patterns like profile contours of human faces, feature measure plays important role. We extracted effective and general feature by B-spline approximation. The nodes and vertices of the approximated curve are normalized and used as features. Since the features have both local property of curvature extrema and global property by B-spline approximation, they are superior to those of curvature extrema of the profile contour. For the image data of six sets of 56 persons, some of which are ill-made, averaged accuracy rate of 97.6 % is obtained in recognizing combinational 333 test samples.

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부구조화 기반 전역-부분 근사화 구조재해석에 의한 구조최적화 (Structural Optimization by Global-Local Approximations Structural Reanalysis based on Substructuring)

  • 김태봉;서상구;김창운
    • 한국안전학회지
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    • 제12권3호
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    • pp.120-131
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    • 1997
  • This paper presents an approximate reanalysis methods of structures based on substructuring for an effective optimization of large-scale structural systems. In most optimal design procedures the analysis of the structure must be repeated many times. In particular, one of the main obstacles in the optimization of structural systems are involved high computational cost and expended long time in the optimization of large-scale structures. The purpose of this paper is to evaluate efficiently the structural behavior of new designs using information from previous ones, without solving basic equations for successive modification in the optimal design. The proposed reanalysis procedure is combined Taylor series expansions which is a local approximation and reduced basis method which is a global approximation based on substructuring. This technique is to choose each of the terms of Taylor series expansions as the basis vector of reduced basis method in substructuring system which is one of the most effective analysis of large -scale structures. Several numerical examples illustrate the effectiveness of the solution process.

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일치하지 않는 경계를 갖는 분리된 시스템을 위한 계면 요소법 (Interface element method (IEM) for a partitioned system with non-matching interfaces)

  • 김현규
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2001년도 추계학술대회논문집A
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    • pp.324-329
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    • 2001
  • A novel method for non-matching interfaces on the boundaries of the finite elements in partitioned domains is presented by introducing interface elements in this paper. The interface element method (IEM) satisfies the continuity conditions exactly through interfaces without recourse to the Lagrange multiplier technique. The moving least square (MLS) approximation in the present study is implemented to construct the shape functions of the interface elements. Alignment of the boundaries of sub-domains in the MLS approximation and integration domains provides a consistent numerical integration due to one form of rational functions in an integration domain. The compatibility of displacements on the boundaries of the finite elements and the interface elements is always preserved in this method, and the completeness of the shape functions of the interface elements guarantees the convergence of numerical solutions. The numerical examples show that the interface element method is a useful tool for the analysis of a partitioned system and for a global-local analysis.

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Improved Dynamic Programming in Local Linear Approximation Based on a Template in a Lightweight ECG Signal-Processing Edge Device

  • Lee, Seungmin;Park, Daejin
    • Journal of Information Processing Systems
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    • 제18권1호
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    • pp.97-114
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    • 2022
  • Interest is increasing in electrocardiogram (ECG) signal analysis for embedded devices, creating the need to develop an algorithm suitable for a low-power, low-memory embedded device. Linear approximation of the ECG signal facilitates the detection of fiducial points by expressing the signal as a small number of vertices. However, dynamic programming, a global optimization method used for linear approximation, has the disadvantage of high complexity using memoization. In this paper, the calculation area and memory usage are improved using a linear approximated template. The proposed algorithm reduces the calculation area required for dynamic programming through local optimization around the vertices of the template. In addition, it minimizes the storage space required by expressing the time information using the error from the vertices of the template, which is more compact than the time difference between vertices. When the length of the signal is L, the number of vertices is N, and the margin tolerance is M, the spatial complexity improves from O(NL) to O(NM). In our experiment, the linear approximation processing time was 12.45 times faster, from 18.18 ms to 1.46 ms on average, for each beat. The quality distribution of the percentage root mean square difference confirms that the proposed algorithm is a stable approximation.

다단계 혼성근사화에 기초한 대형구조계의 설계최적화 (Design Optimization of Large Scale Structural Systems based on Multilevel Hybrid Approximation)

  • 김경일;박종회;황진하
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2002년도 봄 학술발표회 논문집
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    • pp.249-256
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    • 2002
  • A new optimization procedure with approximate reanalysis module, using the staged hybrid methods with substructuring, is proposed in is study. In this procedure, displacements are calculated with two step mixed procedures. First step is to introduce the conservative approximation, which is a hybrid form of the linear and reciprocal approximation, as local approximation. In the next step, it is combined with the global approximation by reduced basis approach. The quality of reanalyzed quantities can be greatly improved through these staged hybrid approximations, specially for large changes in the design. Overall procedures are based on substructuring scheme. Several numerical examples illustrate the validity and effectiveness of the proposed methods.

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