• Title/Summary/Keyword: Mixed method

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Elastic Analysis of Unbounded Solids Using a Mixed Numerical Method (혼합 수치해석 방법을 이용한 무한고체의 탄성해석)

  • Lee , Jung-Ki;Heo, Kang-Il
    • Proceedings of the KSME Conference
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    • 2001.11a
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    • pp.341-348
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    • 2001
  • A Mixed Volume and Boundary Integral Equation Method is applied for the effective analysis of plane elastostatic problems in unbounded solids containing general anisotropic inclusions and voids or isotropic inclusions. It should be noted that this newly developed numerical method does not require the Green's function for anisotropic inclusions to solve this class of problems since only Green's function for the unbounded isotropic matrix is involved in their formulation for the analysis. This new method can also be applied to general two-dimensional elastodynamic and elastostatic problems with arbitrary shapes and number of anisotropic inclusions and voids or isotropic inclusions. Through the analysis of plane elastostatic problems in unbounded isotropic matrix with orthotropic inclusions and voids or isotropic inclusions, it will be established that this new method is very accurate and effective for solving plane elastic problems in unbounded solids containing general anisotropic inclusions and voids or isotropic inclusions.

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Realtime Processing for Marker Tracking in Smart-Phone Environment Using Deformable Searching Area (스마트폰 환경하의 실시간 처리를 위한 가변 탐색영역을 이용한 마커 추적 방법)

  • Kim, Se-Hoon;Lim, Sung-Jun;Lee, Min-Ho;Kim, Gye-Yuong;Choi, Hyung-Il
    • 한국HCI학회:학술대회논문집
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    • 2009.02a
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    • pp.542-546
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    • 2009
  • This paper introduces a Mixed-Reality based Software technology in Smart-Phone Environment. The field of Mixed-Reality in mobile environment is relatively young. but Cause to develop Mobile infra and improvement of mobile device, open-platform mobile OS, the request extended This paper suggest the method for Marker Detection and Marker Tracking method. This method is the one of some kind of a base-technology in Mixed Reality. this method is to effect to location and registration. This paper suggest the method in low CPU computing power. Using a deformable searching area, the method improve computing power. and Using a Cam-shift algorithm, we suggest a calibration free method.

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Computation of 2-D mixed-mode stress intensity factors by Petrov-Galerkin natural element method

  • Cho, Jin-Rae
    • Structural Engineering and Mechanics
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    • v.56 no.4
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    • pp.589-603
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    • 2015
  • The mixed-mode stress intensity factors of 2-D angled cracks are evaluated by Petrov-Galerkin natural element (PG-NE) method in which Voronoi polygon-based Laplace interpolation functions and CS-FE basis functions are used for the trial and test functions respectively. The interaction integral is implemented in a frame of PG-NE method in which the weighting function defined over a crack-tip integral domain is interpolated by Laplace interpolation functions. Two Cartesian coordinate systems are employed and the displacement, strains and stresses which are solved in the grid-oriented coordinate system are transformed to the other coordinate system aligned to the angled crack. The present method is validated through the numerical experiments with the angled edge and center cracks, and the numerical accuracy is examined with respect to the grid density, crack length and angle. Also, the stress intensity factors obtained by the present method are compared with other numerical methods and the exact solution. It is observed from the numerical results that the present method successfully and accurately evaluates the mixed-mode stress intensity factors of 2-D angled cracks for various crack lengths and crack angles.

A VISCOSITY APPROXIMATIVE METHOD TO CES$\`{A}$RO MEANS FOR SOLVING A COMMON ELEMENT OF MIXED EQUILIBRIUM, VARIATIONAL INEQUALITIES AND FIXED POINT PROBLEMS

  • Jitpeera, Thanyarat;Katchang, Phayap;Kumam, Poom
    • Journal of applied mathematics & informatics
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    • v.29 no.1_2
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    • pp.227-245
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    • 2011
  • In this paper, we introduce a new iterative method for finding a common element of the set of solutions for mixed equilibrium problem, the set of solutions of the variational inequality for a ${\beta}$inverse-strongly monotone mapping and the set of fixed points of a family of finitely nonexpansive mappings in a real Hilbert space by using the viscosity and Ces$\`{a}$ro mean approximation method. We prove that the sequence converges strongly to a common element of the above three sets under some mind conditions. Our results improve and extend the corresponding results of Kumam and Katchang [A viscosity of extragradient approximation method for finding equilibrium problems, variational inequalities and fixed point problems for nonexpansive mapping, Nonlinear Analysis: Hybrid Systems, 3(2009), 475-86], Peng and Yao [Strong convergence theorems of iterative scheme based on the extragradient method for mixed equilibrium problems and fixed point problems, Mathematical and Computer Modelling, 49(2009), 1816-828], Shimizu and Takahashi [Strong convergence to common fixed points of families of nonexpansive mappings, Journal of Mathematical Analysis and Applications, 211(1) (1997), 71-83] and some authors.

A Mixed SOC Estimation Algorithm with High Accuracy in Various Driving Patterns of EVs

  • Lim, Dong-Jin;Ahn, Jung-Hoon;Kim, Dong-Hee;Lee, Byoung Kuk
    • Journal of Power Electronics
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    • v.16 no.1
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    • pp.27-37
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    • 2016
  • In this paper, a mixed algorithm is proposed to overcome the limitations of the conventional algorithms, which cannot be applied in various driving patterns of drivers. The proposed algorithm based on the coulomb counting method is mixed with reset algorithms that consist of the enhanced OCV reset method and the DCIR iterative calculation method. It has many advantages, such as a simple model structure, low computational overload in various profiles, and a low accumulated SOC error through the frequent SOC reset. In addition, the enhanced parameter based on a mathematical analysis of the second-order RC ladder model is calculated and is then applied to all of the methods. The proposed algorithm is verified by experimental results based on a 27-Ah LiPB. It is observed that the SOC RMSE of the proposed algorithm decreases by about 9.16% compared to the coulomb counting method.

The Mixed Finite Element Analysis for Saturated Porous Media using FETI Method

  • Lee, Kyung-Jae;Tak, Moon-Ho;Park, Tae-Hyo
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.23 no.6
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    • pp.693-702
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    • 2010
  • In this paper, FETI(Finite Element Tearing and Interconnecting) method is introduced in order to improve numerical efficiency of Staggered method. The porous media theory, the Staggered method and the FETI method are briefly introduced in this paper. In addition, we account for the MPI(Message Passing Interface) library for parallel analysis, and the proposed combined Staggered method with FETI method. Finally Lagrange multipliers and CG(Conjugate Gradient) algorithm to solve decomposed domain are proposed, and then the proposed method is verified to be numerically efficient by MPI library.

Measuring and Describing Seoul's Mixed-Use Phenomenon (서울시 용도복합 현상의 측정 및 기술에 관한 연구)

  • KIM, Hyun-Moo;LEE, Woo-Jin;KWON, Tae-Jung;YEON, Jeong-Min
    • Journal of the Korean Association of Geographic Information Studies
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    • v.24 no.3
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    • pp.10-31
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    • 2021
  • The mixed-use concept definition, this study reveals, is that the mixing three or more major types of urban uses implements for economical, social and environmental values in our urban space. With this definition the study explores Seoul's mixed-use phenomenon. The quantification method, the study uses, is the relative entropy which calculate the balance of each urban use in a certain area. The relative entropy method, also known as the LUM(land-use mix score), uses three urban-use categories which is derived from the mixed-use concept definition. Hundreds of building-use types in the building regulations are categorized and calculate the LUM of Seoul's legal-status neighborhoods. The result interpreted as the criteria of Seoul's mixed-use phenomenon and categorize mixed land-use status in a certain value: 'non mixed-use' category has a value 0.631 and below, 'unbalanced mixed-use' category has a value between 0.631 and 0.884, 'balanced mixed-use' category has a value between 0.884 and 0.991 and 'complete mixed-use' category has a value 0.991 and over.

Reasonable Optimum Design of Prestressed Concrete Structures (프리스트레스트 콘크리트 구조물의 합리적인 최적설계)

  • Kim, Jong-Ok
    • Journal of The Korean Society of Agricultural Engineers
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    • v.46 no.2
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    • pp.77-89
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    • 2004
  • This study was carried out to find out the reasonable optimum design method for the design of prestressed concrete structures. The optimum design problems were formulated and computer programs to solve these problems were developed. To test the reliablity, efficiency, possibility of application and reasonablity of optimum design problems and computer programs, both continuous optimization method and mixed-discrete optimization method were applied to the design of prestressed concrete composite girder and application results were discussed. It is proved that mixed-discrete optimization method is more reliable, efficient and reasonable than continuous optimization method for the optimum design of prestressed concrete structures.

Qualitative Analysis on Mixed Research in the field of Mathematics for Elementary Students (초등 수학교육 관련 혼합 연구에서 적용된 질적 연구 방법에 대한 분석)

  • Na, Jang Ham;Kim, Jinho
    • Education of Primary School Mathematics
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    • v.19 no.1
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    • pp.47-60
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    • 2016
  • The purpose of this study is to analyze how the qualitative research is applied to mixed method research and thereby to gain an insight to suggest reasonable ways of employing qualitative method in order to accomplish intended goal of research, especially in the field of mathematics education. For that purpose, this study carefully selects and analyzes 5 article that used mixed method and were published by Education of Primary School Mathematics Journal in 2012. Unlike those a few previous studied on mixed method that focused on producing general trend by simply showing quantitative information on what the frequence of used research topic, content, methods combination, quantitative methods, and qualitative methods, this study provides detailed result of qualitative analysis on mixed studies. In sum, this study concludes with practical and in-depth suggestions on how to improve validity of mixed research and qualitative research in the field of mathematic of education.

Fast Mixed-Integer AC Optimal Power Flow Based on the Outer Approximation Method

  • Lee, Sungwoo;Kim, Hyoungtae;Kim, Wook
    • Journal of Electrical Engineering and Technology
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    • v.12 no.6
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    • pp.2187-2195
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    • 2017
  • In order to solve the AC optimal power flow (OPF) problem considering the generators' on/off status, it is necessary to model the problem as mixed-integer nonlinear programming (MINLP). Because the computation time to find the optimal solution to the mixed-integer AC OPF problem increases significantly as the system becomes larger, most of the existing solutions simplify the problem either by deciding the on/off status of generators using a separate unit commitment algorithm or by ignoring the minimum output of the generators. Even though this kind of simplification may make the overall computation time tractable, the results can be significantly erroneous. This paper proposes a novel algorithm for the mixed-integer AC OPF problem, which can provide a near-optimal solution quickly and efficiently. The proposed method is based on a combination of the outer approximation method and the relaxed AC OPF theory. The method is applied to a real-scale power system that has 457 generators and 2132 buses, and the result is compared to the branch-and-bound (B&B) method and the genetic algorithm. The results of the proposed method are almost identical to those of the compared methods, but computation time is significantly shorter.