• 제목/요약/키워드: P-element

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Precast Element를 이용한 P.C BOX GR. 공법소개 (Introduction to Constrction Method for P.C BOX GIRDER by Precast Element)

  • 이광민;김수보;김호근
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 1991년도 가을 학술발표회 논문집
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    • pp.163-168
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    • 1991
  • 최근 도시지역에서의 교량가설시 P.C BOX GR. 교량이 차지하는 비율이 점차 증가하면서 도심교통난 유발을 최소화 할 수 있는 가설공법에 대한 필요성이 증대되고 있는 상황에서 Precast Element를 이용하여 P.C BOX GR.의 Cantilever 길이를 길게하여 MAIN BOX GR.의 폭을 감소시켜 광폭(B=20M이상)의 상부구조물 일지라도 하부구조를 일주식 교각으로 설치가능할 뿐만 아니라 MAIN BOX GR. 가설시 어떤 가설공법도 적용가능하므로 현장여건에 가장 적합한 가설공법을 용이하게 P.C BOX GR. 공법을 소개하고자 한다.

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FINITE VOLUME ELEMENT METHODS FOR NONLINEAR PARABOLIC INTEGRODIFFERENTIAL PROBLEMS

  • Li, Huanrong;Li, Qian
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제7권2호
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    • pp.35-49
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    • 2003
  • In this paper, finite volume element methods for nonlinear parabolic integrodifferential problems are proposed and analyzed. The optimal error estimates in $L^p\;and\;W^{1,p}\;(2\;{\leq}\;p\;{\leq}\;{\infty})$ as well as some superconvergence estimates in $W^{1,p}\;(2\;{\leq}\;p\;{\leq}\;{\infty})$ are obtained. The main results in this paper perfect the theory of FVE methods.

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다중모델 해석을 위한 부분층별-등가단층 결합요소 (Partial Layerwise-to-ESL Coupling Elements for Multiple Model Analysis)

  • 신영식;우광성;안재석
    • 한국전산구조공학회논문집
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    • 제22권3호
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    • pp.267-275
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    • 2009
  • 이 논문에서는 복합재료 적층판 해석을 위해 등가단층요소와 부분-선형 층별 적층요소를 서로 연계시킨 결합요소를 제안하였다. 등가단층요소는 퇴화 쉘요소에 의해 정식화되었으며, 반면에 부분-선형 층별요소의 경우 면내변위는 부분적 선형변화로, 두께방향으로의 면외변위는 일정하다고 가정하였다. 제안된 유한요소모델은 p-수렴방식에 기초를 두고 있다. 변위장 보간을 위해 적분형 르장드르 다항식이, 수치적분을 수행하기 위해서는 가우스-로바토 적분을 각각 채택하였다. 이 연구에서는 주로 p-수렴 결합요소의 검증을 위해 다양한 형태의 유한요소 다중모델에 대해 안정된 수치해석값을 보여주는 지에 초점을 두었다. 채택한 예제는 정해를 쉽게 알고 있는 단순한 문제로 인장력을 받는 평판 또는 연직하중을 받는 캔틸레버보에 적용하여 제안된 요소의 성능을 평가하였다.

선택적 p-분배에 의한 적응적 유한 요소법 (Adaptive Finite Element Method by Selective p-Distribution)

  • 조준형;우광성;박진환;안재석
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2003년도 봄 학술발표회 논문집
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    • pp.288-295
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    • 2003
  • An adaptive procedure in finite element analysis is presented by p-refinement of meshes in conjunction with a posteriori error estimator that is based on the recovery technique. In case of the recovery technique, the SPR(superconvergent patch recovery) approach has been modified for p-adaptive mesh refinement. The strategy of finding a nearly optimal distribution of polynomial degrees on a fixed finite element mesh is discussed such that a particular element has to be refined automatically to obtain an acceptable level of accuracy by increasing p-levels non-uniformly. To verify the proposed algorithm, the limit value approach is proposed which utilizes the exact strain energy computed from the extrapolation equation. A new pre-processor is developed for the p-version finite element program in which the vector graphic editor is used for the automatic generation of node connection and coordinate by halfedge solid data structure according to uniform or nonuniform p-distribution. The general 2-D algorithm is also developed to generate face modes and internal modes in accordance with different mesh types. The quality of the error estimator is investigated with the help of two mumerical examples. The results show that the sequences of p-distributions obtained by the proposed error indicator closely follow the optimal trajectory.

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THE ORDER OF CONVERGENCE IN THE FINITE ELEMENT METHOD

  • KIM CHANG-GEUN
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제12권2호
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    • pp.153-159
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    • 2005
  • We investigate the error estimates of the h and p versions of the finite element method for an elliptic problems. We present theoretical results showing the p version gives results which are not worse than those obtained by the h version in the finite element method.

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FINITE VOLUME ELEMENT METHODS FOR NONLINEAR PARABOLIC PROBLEMS

  • LI, QIAN;LIU, ZHONGYAN
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제6권2호
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    • pp.85-97
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    • 2002
  • In this paper, finite volume element methods for nonlinear parabolic problems are proposed and analyzed. Optimal order error estimates in $W^{1,p}$ and $L_p$ are derived for $2{\leq}p{\leq}{\infty}$. In addition, superconvergence for the error between the approximation solution and the generalized elliptic projection of the exact solution (or and the finite element solution) is also obtained.

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PRECONDITIONING FOR THE p-VERSION BOUNDARY ELEMENT METHOD IN THREE DIMENSIONS WITH TRIANGULAR ELEMENTS

  • Cao, Wei-Ming;Guo, Benqi
    • 대한수학회지
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    • 제41권2호
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    • pp.345-368
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    • 2004
  • A preconditioning algorithm is developed in this paper for the iterative solution of the linear system of equations resulting from the p-version boundary element approximation of the three dimensional integral equation with hypersingular operators. The preconditioner is derived by first making the nodal and side basis functions locally orthogonal to the element internal bases, and then by decoupling the nodal and side bases from the internal bases. Its implementation consists of solving a global problem on the wire-basket and a series of local problems defined on a single element. Moreover, the condition number of the preconditioned system is shown to be of order $O((1+ln/p)^{7})$. This technique can be applied to discretization with triangular elements and with general basis functions.

A CHARACTERIZATION OF SOME PGL(2, q) BY MAXIMUM ELEMENT ORDERS

  • LI, JINBAO;SHI, WUJIE;YU, DAPENG
    • 대한수학회보
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    • 제52권6호
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    • pp.2025-2034
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    • 2015
  • In this paper, we characterize some PGL(2, q) by their orders and maximum element orders. We also prove that PSL(2, p) with $p{\geqslant}3$ a prime can be determined by their orders and maximum element orders. Moreover, we show that, in general, if $q=p^n$ with p a prime and n > 1, PGL(2, q) can not be uniquely determined by their orders and maximum element orders. Several known results are generalized.

p-Version 비선형 유한요소모텔에 의한 2방향 철근 콘크리트 슬래브의 역학적 거동해석 (Structural Behavior Analysis of Two-way RC Slabs by p-Version Nonlinear Finite Element Model)

  • 조진구;박진환
    • 한국농공학회논문집
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    • 제47권4호
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    • pp.15-24
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    • 2005
  • This study is focused on modeling to predict the behavior of two-way RC slabs. A new finite element model will be presented to analyze the nonlinear behavior of RC slabs. The numerical approach is based on the p-version degenerate shell element including theory of anisotropic laminated composites, theory of materially and geometrically nonlinear plates. In the nonlinear formulation of this model, the total Lagrangian formulation is adopted with large deflections and moderate rotations being accounted for in the sense of von Karman hypothesis. The material model is based on the Kuper's yield criterion, hardening rule, and crushing condition. The validity of the proposed p-version nonlinear RC finite element model is demonstrated through the load-deflection curves and the ultimate loads. It is shown that the proposed model is able to adequately predict the deflection and ultimate load of two-way slabs with respect to steel arrangements and steel ratios.

충남 금산 폐탄광지역의 토양 및 식물체내 알칼리 및 금속원소의 함량 (Alkali and Metal Element concentrations in Soil and Plant from Daesung Coal Mine in Keumsan, Chungnam)

  • 김명희;송석환;민일식;장인수
    • The Korean Journal of Ecology
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    • 제21권5_1호
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    • pp.457.1-463
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    • 1998
  • the research has been made for alkali and metal element concentrations in top soils and plants from the abandoned coal mine, Keumsan, Chungnam Province. Samples of the top soil and plant (Miscanthus sinensis and Pinus rigida) were collected from the mine area in which was divided into t재 regions the polluted region influenced by the coal mining and the non-polluted region. pH of the top soils was 3.16-4.33 in the polluted region. Ca, Sr and P concentrations were high in the polluted soils, and Al and Ba concentrations were high in the non-polluted soils. No differences were found in K, Na and Ti concentrations. M. sinensis was higher in the element concentrations than P. rigida. In the average concentration of the alkali and metal element, M. sinensis showed high Cs and Na in the polluted region, and high Ba, Ca, K, Sr and concentrations in the non-polluted region. P. rigida had high Cs, Na and Rb concentrations in the polluted region. M. sinensis and P. rigida were higher in the root than above-ground part in the most element, but Ca and K. Ca, K and Na concentrations within both plants had higher than those of soils.

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