• Title/Summary/Keyword: direct solution

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High Performance Hybrid Direct-Iterative Solution Method for Large Scale Structural Analysis Problems

  • Kim, Min-Ki;Kim, Seung-Jo
    • International Journal of Aeronautical and Space Sciences
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    • v.9 no.2
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    • pp.79-86
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    • 2008
  • High performance direct-iterative hybrid linear solver for large scale finite element problem is developed. Direct solution method is robust but difficult to parallelize, whereas iterative solution method is opposite for direct method. Therefore, combining two solution methods is desired to get both high performance parallel efficiency and numerical robustness for large scale structural analysis problems. Hybrid method mentioned in this paper is based on FETI-DP (Finite Element Tearing and Interconnecting-Dual Primal method) which has good parallel scalability and efficiency. It is suitable for fourth and second order finite element elliptic problems including structural analysis problems. We are using the hybrid concept of theses two solution method categories, combining the multifrontal solver into FETI-DP based iterative solver. Hybrid solver is implemented for our general structural analysis code, IPSAP.

Verification of 1-d direct solution for longitudinal end effect occurred in linear induction motor by using 2-d FEM (2차원 유한요소해석을 통한 선형 유도전동기의 종방향 단부효과 고려를 위한 1-d direct solution의 검증)

  • Lee, Sung-Gu;Ham, Sang-Hwan;Lee, Hyung-Woo;Lee, Ju
    • Proceedings of the KSR Conference
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    • 2009.05a
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    • pp.978-983
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    • 2009
  • This paper analyzed longitudinal end effect occurred in linear induction motor by using I-d direct solution and its result is verified by 2-d Finite Element Method(FEM). Longitudinal end effect of linear induction motor caused by magnetic discontinuity in primary core and electric discontinuity in armature winding has been investigated by many researchers. In this paper, 1-d direct solution and boundary conditions proposed by Yamamura and Nasar is used to analyze end effect of linear induction motor and its solution is verified by 2-d FEM.

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Direct Detection of Shigella flexneri and Salmonella typhimurium in Human Feces by Real-Time PCR

  • Yang, Young-Geun;Song, Man-Ki;Park, Su-Jeong;Kim, Suhng-Wook
    • Journal of Microbiology and Biotechnology
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    • v.17 no.10
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    • pp.1616-1621
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    • 2007
  • We have established a SYBR Green-based realtime PCR method using AnyDirect solution, which enhances PCR from whole blood, for direct amplification of the virA gene of Shigella flexneri and the invA gene of Salmonella typhimurium from human feces without prior DNA purification. When we compared the efficiency of conventional or realtime PCR amplification of the virA and invA genes from the supernatant of boiled feces supplemented with S. flexneri and S. typhimurium in the presence or absence of AnyDirect solution, amplification products were detected only in reactions to which AnyDirect solution had been added. The detection limit of real-time PCR was $1{\times}10^4\;CFU/g$ feces for S. flexneri and $2{\times}10^4\;CFU/g$ feces for S. typhimurium; this sensitivity level was comparable to other studies. Our real-time PCR assay with AnyDirect solution is simple, rapid, sensitive, and specific, and allows simultaneous detection of S. flexneri and S. typhimurium directly from fecal samples without prior DNA purification.

Hybrid Linear Closed-Form Solution in Wireless Localization

  • Cho, Seong Yun
    • ETRI Journal
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    • v.37 no.3
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    • pp.533-540
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    • 2015
  • In wireless localization, several linear closed-form solution (LCS) methods have been investigated as a direct result of the drawbacks that plague the existing iterative methods, such as the local minimum problem and heavy computational burden. Among the known LCS methods, both the direct solution method and the difference of squared range measurements method are considered in this paper. These LCS methods do not have any of the aforementioned problems that occur in the existing iterative methods. However, each LCS method does have its own individual error property. In this paper, a hybrid LCS method is presented to reduce these errors. The hybrid LCS method integrates the two aforementioned LCS methods by using two check points that give important information on the probability of occurrence of each LCS's individual error. The results of several Monte Carlo simulations show that the proposed method has a good performance. The solutions provided by the proposed method are accurate and reliable. The solutions do not have serious errors such as those that occur in the conventional standalone LCS and iterative methods.

New Closed-Form Direct Kinematic Solution of the 3-6 Stewart-Gough Platform Using the Tetrahedron Approach

  • Song, Se-Kyong;Kwon, Dong-Soo
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.83.4-83
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    • 2001
  • The paper presents a new closed-form, not a polynomial-form, solution of the direct kinematics of the 3-6 (Stewart-Gough) Platform. Many research works have presented a single high-order polynomial equation of the direct kinematics. However the polynomial equation causes potential problems such as complicated formulation procedures and discrimination of the actual solution from all roots, which results in time-consuming task and heavy computational burden. Thus, to overcome these problems, we use a new formulation approach, based on the Tetrahedron Approach, to derive easily a closed-form nonlinear equation of the direct kinematics and use not the Newton-Raphson method, but the Secant method to obtain quickly the solution from ...

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New Direct Kinematic Formulation of 6 D.O.F Stewart-Cough Platforms Using the Tetrahedron Approach

  • Song, Se-Kyong;Kwon, Dong-Soo
    • Transactions on Control, Automation and Systems Engineering
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    • v.4 no.3
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    • pp.217-223
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    • 2002
  • The paper presents a single constraint equation of the direct kinematic solution of 6-dof (Stewart-Gough) platforms. Many research works have presented a single polynomial of the direct kinematics for several 6-dof platforms. However, the formulation of the polynomial has potential problems such as complicated formulation procedures and discrimination of the actual solution from all roots. This results in heavy computational burden and time-consuming task. Thus, to overcome these problems, we use a new formulation approach, called the Tetrahedron Approach, to easily derive a single constraint equation, not a polynomial one, of the direct kinematics and use two well-known numerical iterative methods to find the solution of the single constraint equation. Their performance and characteristics are investigated through a series of simulation.

A Study on the Acceleration of the Solution Convergence for the Rigid Plastic FEM (강소성 유한요소해석에서 해의 수렴 가속화에 관한 연구)

  • 최영
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2004.10a
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    • pp.347-350
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    • 2004
  • In this paper, the acceleration is studied for the rigid-plastic FEM of metal forming simulation. In the FEM, the direct iteration and Newton-Raphson iteration are applied to obtain the initial solution and accurate solution respectively. In general, the acceleration scheme for the direct iteration is not used. In this paper, an Aitken accelerator is applied to the direct iteration. In the modified Newton-Raphson iteration, the step length or the deceleration coefficient is used for the fast and robust convergence. The step length can be determined by using the accelerator. The numerical experiments have been performed for the comparisons. The faster convergence is obtained with the acceleration in the direct and Newton-Raphson iterations.

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A Regularization-direct Method to Numerically Solve First Kind Fredholm Integral Equation

  • Masouri, Zahra;Hatamzadeh, Saeed
    • Kyungpook Mathematical Journal
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    • v.60 no.4
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    • pp.869-881
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    • 2020
  • Most first kind integral equations are ill-posed, and obtaining their numerical solution often requires solving a linear system of algebraic equations of large condition number, which may be difficult or impossible. This article proposes a regularization-direct method to numerically solve first kind Fredholm integral equations. The vector forms of block-pulse functions and related properties are applied to formulate the direct method and reduce the integral equation to a linear system of algebraic equations. We include a regularization scheme to overcome the ill-posedness of integral equation and obtain a stable numerical solution. Some test problems are solved using the proposed regularization-direct method to illustrate its efficiency for solving first kind Fredholm integral equations.

Fabrication of All-Solution Processed Transparent Silver Nanowire Electrode Using a Direct Printing Process

  • Baek, Jang-Mi;Lee, Rin;Seong, Myeong-Mo
    • Proceedings of the Korean Vacuum Society Conference
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    • 2013.02a
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    • pp.641-641
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    • 2013
  • We report the transparentsilver nanowire electrode fabricated by a direct printing process, liquid-bridge-mediated nanotransfer molding. We fabricated silver nanowire arrays by liquidbridge- mediated nanotransfer molding using the silver nanoparticle ink and PEDOT:PSS polymer. Weinvestigated the formation of silver nanowire arrays by SEM and transmittance of the transparent silver nanowire electrode. We also measured the conductivity to confirm the potential of our approach.

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Static Analysis of Gas Bearing with Ultra Low Clearance by the Direct Numerical Solution Method (극소 공기막을 갖는 공기베어링의 직접수치해법을 이용한 정적해석)

  • Park, Sang-Sin;Chang, In-Bae;Hwang, Pyung;Han, Dong-Chul
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.1
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    • pp.120-126
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    • 1991
  • An expanded scheme of a direct numerical solution method for solving the Navier-Stokes equation considering the modified boundary conditions for gas lubrication with ultra low clearance at high .LAMBDA. region is presented. Many examples are calculated by this scheme and their results are compared to the previous solutions using P$^{2}$H$^{[-992]}$ . This scheme has the advantages of fast calculation time and stable convergence in high .LAMBDA. region, and gives very good results in the case of fluid film thickness discontinuity.