• 제목/요약/키워드: relaxation parameter

검색결과 98건 처리시간 0.025초

FAST ONE-PARAMETER RELAXATION METHOD WITH A SCALED PRECONDITIONER FOR SADDLE POINT PROBLEMS

  • OH, SEYOUNG;YUN, JAE HEON
    • Journal of applied mathematics & informatics
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    • 제34권1_2호
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    • pp.85-94
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    • 2016
  • In this paper, we first propose a fast one-parameter relaxation (FOPR) method with a scaled preconditioner for solving the saddle point problems, and then we present a formula for finding its optimal parameter. To evaluate the effectiveness of the proposed FOPR method with a scaled preconditioner, numerical experiments are provided by comparing its performance with the existing one or two parameter relaxation methods with optimal parameters such as the SOR-like, the GSOR and the GSSOR methods.

ACCELERATION OF ONE-PARAMETER RELAXATION METHODS FOR SINGULAR SADDLE POINT PROBLEMS

  • Yun, Jae Heon
    • 대한수학회지
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    • 제53권3호
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    • pp.691-707
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    • 2016
  • In this paper, we first introduce two one-parameter relaxation (OPR) iterative methods for solving singular saddle point problems whose semi-convergence rate can be accelerated by using scaled preconditioners. Next we present formulas for finding their optimal parameters which yield the best semi-convergence rate. Lastly, numerical experiments are provided to examine the efficiency of the OPR methods with scaled preconditioners by comparing their performance with the parameterized Uzawa method with optimal parameters.

하중과 변위의 동시제어에 의한 좌굴후 현상해석 (Post-buckling analysis using a load-displacement control)

  • 권영두;임범수;박철;최진민
    • 대한기계학회논문집A
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    • 제21권11호
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    • pp.1931-1942
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    • 1997
  • A new load/displacement parameter method is developed for the cases that loads are applied to one or more points, and displacements of a structure are controlled at one or more points sinultaneously. The procedure exploits a generalized Riks method, which utilizes load/displacement parameters as scaling factors in order to analyze the post-buckling phenomena including snap-through or snap-back. A convergence characteristic is improved by employing new relaxation factors in incremental displacement parameter, particularly at the region where exhibits severe numerical instability. The improved performance is illustrated by means of numerical example.

Nonlinear analysis using load-displacement control

  • Kwon, Young-Doo;Kwon, Hyun-Wook;Lim, Beom-Soo
    • Structural Engineering and Mechanics
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    • 제19권2호
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    • pp.153-172
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    • 2005
  • A new load/displacement parameter method is proposed for the simultaneous control of applied loads and structural displacements at one or more points. The procedure is based on a generalized Riks' method, which utilizes load/displacement parameters as scaling factors to analyze post-buckling phenomena including snap-through or snap-back. The convergence characteristics are improved by employing new relaxation factors through an incremental displacement parameter, particularly in a region that exhibits severe numerical instability. The improved performance is illustrated by means of a numerical example.

시간분해기법을 이용한 디메틸 술폭사이드와 디메틸 포름아미드-아닐린용액에서 온도의존 유전이완에 관한 연구 (Tempereture Dependent Dielectric Relaxation Study of Aniline in Dimethylsulphoxide and Dimethlformamide Using Time Domain Technique)

  • Chaudhari, Ajay;Patil, C.S.;Shankarwar, A.G.; Arbad, B.R.;Mehrotra, S.C.
    • 대한화학회지
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    • 제45권3호
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    • pp.201-207
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    • 2001
  • aniline-dimethylsulphoxide(DMSO)와 aniline-dimethylformamide(DMF) 계에서 dielectric relaxation 에 관한 연구를 10MHz-10GHz 진동수 영역에서 여러 가지 다른 온도 그리고 농도에서 Time Domain Reflectometry(TDR) 방법을 이용하여 수행하였다. dielectric parameter를 정적유전율, 이완시간, Kirkwood 상관계수, 잉여유전율, 잉여 역이완시간, 그리고 열역학 parameter들의 함수로 얻었다. 검정방법으로 최소자승법을 이용하였다. dielectric parameter 들이 온도와 농도에 대해 체계적으로 변하는 것을 볼 수 있었다.

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이완변수를 고려한 영상의 정칙화 반복 복원 (Regularized Iterative Image Restoration with Relaxation Parameter)

  • 홍성용;이태홍
    • 한국통신학회논문지
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    • 제19권1호
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    • pp.91-99
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    • 1994
  • 잡음이 섞인 흐려진 영상의 복원에서 구속 조건으로서 이완 변수와 정칙화 변수를 적용한 정칙화 반복 복원 방법을 제시 하였다. Blemond등에 의해 제시된 종전의 정칙화 반복 복원 방법은 정칙화 연산자로서 리플라시안 여파기를 사용하였으나 정칙화 변수와 이완 변수를 고정된 상수로 처리하는 반면, 본 논문에서는 (I.H)를 정칙화 연산자로서 사용하였고, 영상의 사전 정보를 고려하여 각 화소마다 적응성있게 가변되는 두 종류의 구속조건을 정칙화 반복 복원 방법에 적용하였다. 실험 결과를 통하여 제시한 방법이 윤곽부분에서는 피묻현상이 감소하였으며, 평면부분에서는 잡음의 억제가 현저하였음을 알 수 있었다.

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Elucidating the Dynamic Properties of Globular Protein using Predicted Order Parameters and 15N NMR Relaxation

  • Yi, Jong-Jae;Kim, Won-Je;Rhee, Jin-Kyu;Lim, Jongsoo;Lee, Bong-Jin;Son, Woo Sung
    • 한국자기공명학회논문지
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    • 제21권1호
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    • pp.26-30
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    • 2017
  • Dynamic properties of proteins can present key information on protein-ligand and protein-protein interaction. Despite their usefulness, the properties of protein dynamics have not been obtained easily due to protein stability and short-term measurement. Here, it is shown that combined method for analysis of dynamical properties. It utilizes predicted order parameter and NMR relaxation data such as $T_1$, $T_2$, and heteronuclear NOE. The suggested method could be used to know the flexibility of protein roughly without precise dynamical parameters such as order parameters through model-free analysis.

Dynamic Heterogeneity in Spin Facilitated Model of Supercooled Liquid: Crossover from Fragile to Strong Liquid Behavior

  • Choi, Seo Woo;Kim, Soree;Jung, YounJoon
    • EDISON SW 활용 경진대회 논문집
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    • 제3회(2014년)
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    • pp.183-195
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    • 2014
  • Kinetically constrained models (KCM) have attracted interest as models that assign dynamic origins to the interesting dynamic properties of supercooled liquid. Signs of dynamic heterogeneity in the crossover model that linearly interpolates between the FA-like symmetric constraint and the East model constraint by asymmetric parameter b were investigated using Monte Carlo technique. When the asymmetry parameter was decreased sufficiently, smooth fragile-to-strong dynamic transition was observed in terms of the relaxation time, diffusion constant, Stokes-Einstein violation, and dynamic length scale. Competition between energetically favored symmetric relaxation mechanism and entropically favored asymmetric relaxation mechanism is behind such transition.

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$Cul-Cu_2S-Cu_2O-MoO_3$계 유리의 전기전도 및 유전환화와의 상관 (Correlation between Electrical Conduction and Dielectric Relaxation in the Glass System $Cul-Cu_2S-Cu_2O-MoO_3$)

  • 이재형;임기조
    • 대한전기학회논문지
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    • 제43권7호
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    • pp.1152-1157
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    • 1994
  • The glasses were prpared in the system CuI-CuS12TS-CuS12TO-MoOS13T by rapid quenching technique. These glasses have high ionic conductivities at 2$0^{\circ}C$ in the range of 10S0-1T[S/m], and the conductivities increase with increasing CuI and CuS12TS content. The value of activation energy for dielectric relaxation is nearly identical with that for conductivity. The cole-Cole parameter $\beta$ for representation of the distribution of dielectric relaxation times varies the range from 0.92 to 0.96. This parameter has a weak dependence on the composition of glass, and is independent of temperature. The correlation factors P for the glasses shows from 1.1 to 1.7.

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$^{15}$N NMR Relaxation Study of the Catalytic Residues in Y14F Mutant Ketosteroid Isomerase

  • Yoon, Ye-Jeong;Lee, Hyeong-Ju;Kim, Chul;Lee, Hee-Cheon
    • 한국자기공명학회논문지
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    • 제8권2호
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    • pp.77-85
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    • 2004
  • $^1$H-detected $^{15}$N NMR was employed to investigated the effect of mutation (Y14F) on the dynamic properties of catalytic residues in ${\Delta}^5$-3- ketosteroid isomerase (KSI) from Conamonas testosteroni. In particular, the backbone dynamics of the catalytic residues have been studied in free enzyme and its complex with a steroid ligand, 19-nortestosterone hemisuccinate, by $^{15}$N relaxation measurements. The relaxation data were analyzed using the model-free formalism to extract the model-free parameters (S$^2$, ${\tau}_e$, and R$_{ex}$). The results show that the mutation causes a significant decrease in the order parameter (S$^2$) for the catalytic residues of free Y14F KSI, presumably due to breakdown of the hydrogen bond network by mutation. In addition, the order parameters of Phe-14 and Asp-99 increased slightly upon ligand binding, indicating a slight restriction of the high-frequency (pico- to nanosecond) internal motions of the residues in the complexed Y14F KSI, while the order parameter of Tyr-55 decreased significantly upon ligand binding.

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