• Title/Summary/Keyword: P-convergent

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Analysis of 2-D Potential Problem with L-shape Domain by p-Convergent Boundary Element Method (p-수렴 경계요소법에 의한 L-형 영역을 갖는 2차원 포텐셜 문제 해석)

  • Woo, Kwang-Sung;Jo, Jun-Hyung
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.22 no.1
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    • pp.117-124
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    • 2009
  • The p-convergent boundary element method has been proposed to analyze two-dimensional potential problem on the basis of high order Legendre shape functions that have different property comparing with the shape functions in conventional boundary element method. The location of nodes corresponding to high order shape function are not defined along the boundary, called by nodeless node, similar to the p-convergent finite element method. As the order of shape function increases, the collocation point method is used to solve linear simultaneous equations. The collocation patterns of p-convergent boundary element method consist of non-symmetric hierarchial or symmetric non-hierarchical. As the order of shape function increases, the number of collocation point increases. The singular integral that appears in p-convergent boundary element has been calculated by special numeric quadrature technique and semi-analytical integration technique. The L-shape domain problem including singularity in the vicinity of reentrant comer is analyzed and the numerical results show that the relative error is smaller than $10^{-2}%$ range as compared with other results in literatures. In case of same condition, the symmetric p-collocation point pattern shows high accuracy of solution.

Uniqueness of square convergent triconometric series

  • Ha, Young-Hwa;Lee, Jin
    • Journal of the Korean Mathematical Society
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    • v.32 no.4
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    • pp.785-802
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    • 1995
  • It is well known that every periodic function $f \in L^p([0,2\pi]), p > 1$, can be represented by a convergent trigonometric series called the Fourier series of f. Uniqueness of the representing series is very important, and we know that the Fourier series of a periodic function $f \in L^p([0,2\pi])$ is unique.

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Heat Transfer and Friction in Rectangular Convergent Channels with Ribs on One Wall

  • Kim, Won-Cheol;Lee, Myung-Sung;Bae, Sung-Taek;Ahn, Soo-Whan
    • Journal of Power System Engineering
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    • v.18 no.2
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    • pp.12-18
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    • 2014
  • The local heat transfer of developed turbulent flows in the stationary ribbed rectangular convergent channels has been investigated experimentally. The rectangular convergent channels with one ribbed surface only have the inclination of $0.72^{\circ}$ and $1.43^{\circ}$ at which the ribbed wall is manufactured with a fixed rib height (e) of 10 mm and the ratio of rib spacing (p) to height (e) =10. The measurement was conducted within the range of Reynolds numbers from 15,000 to 89,000. The local heat transfer characteristics of the rectangular convergent channels are quite different from those of the ribbed square straight channel.

The Effects of Convergent Stimulation on tDCS during Mirror Therapy to Improve the Muscle Strength and Gait Ability in Chronic Stroke Patients (만성 뇌졸중 환자에서 거울 치료 시 tDCS의 융합 자극이 다리근력 및 보행능력에 미치는 효과)

  • Lee, Seung-Tae;Kim, Kyung-Yoon
    • Journal of Industrial Convergence
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    • v.18 no.4
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    • pp.51-59
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    • 2020
  • The purpose of this study was to investigate the improvement of muscle strength and gait ability of paralyzed lower extremity through convergent stimulation of tDCS(transcranial direct current stimulation) during mirror therapy with resistance exercise in chronic stroke patients. 12 patients with stroke were randomly assigned and divided into groupI(n=6) and groupII(n=6). GroupI provided NDT(neurodevelopmental treatment) and mirror therapy with sham tDCS, and groupII provided NDT and mirror therapy with tDCS. Each convergent stimulation was conducted 5 times a week, 30 minutes per session for a total of 4 weeks. All evaluation was conducted before intervention and performed after 4 weeks. Lower extremity strength showed a significant improvement in groupII compared to groupI(p<.05), and in comparison between groups by variance, significant difference in the quadriceps(p<.01) and tibialis anterior(p<.01). Gait ability showed a significant improvement in both groupI(p<.05) and groupII(p<.05), and significant difference in comparison between groups by variance(p<.01). In conclusion, mirror therapy with tDCS convergent stimulation had a positive improvement effect on paralyzed lower extremity to strength and gait ability through the overlapping interaction.

ON THE CONVERGENCE OF THE UOBYQA METHOD

  • Han, Lixing;Liu, Guanghui
    • Journal of applied mathematics & informatics
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    • v.16 no.1_2
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    • pp.125-142
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    • 2004
  • We analyze the convergence properties of Powell's UOBYQA method. A distinguished feature of the method is its use of two trust region radii. We first study the convergence of the method when the objective function is quadratic. We then prove that it is globally convergent for general objective functions when the second trust region radius p converges to zero. This gives a justification for the use of p as a stopping criterion. Finally, we show that a variant of this method is superlinearly convergent when the objective function is strictly convex at the solution.

Effect of Rib Angle on Thermal Performance in a Two Wall Convergent/Divergent Channel with Ribs on One Wall (양측면 수축/확대 사각채널에서 한면에 설치된 리브의 각도가 열성능에 미치는 효과)

  • Ahn, Soo Whan;Lee, Myung Sung;Bae, Sung Taek
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.27 no.4
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    • pp.195-200
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    • 2015
  • The thermal performance in the channels with two-wall rectangular convergent/divergent cross-sectional areas along the axial distance was investigated experimentally. The ribbed rectangular convergent/divergent channels were manufactured with a fixed rib height (e) = 10 mm and the ratio of rib spacing (p) to height (e) = 10. Three different parallel angled ribs (a = $30^{\circ}$, $45^{\circ}$, and $60^{\circ}$) were each placed on the channel's one sided wall only. The convergent channel of $D_{ho}/D_{hi}=0.67$ and the divergent channel of $D_{ho}/D_{hi}=1.49$ were considered. The ribbed divergent channel produced better thermal performance than the ribbed convergent channel in three different restrictions; identical flow rate, identical pumping power, and identical pressure loss.

SOME RESULTS ON CONVERGENCES IN FUZZY METRIC SPACES AND FUZZY NORMED SPACES

  • Cho, Kyugeun;Lee, Chongsung
    • Communications of the Korean Mathematical Society
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    • v.35 no.1
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    • pp.185-199
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    • 2020
  • In this paper, we introduce the definitions of sp-convergent sequence in fuzzy metric spaces and fuzzy normed spaces. We investigate relations of convergence, sp-convergence, s-convergence and st-convergence in fuzzy metric spaces and fuzzy normed spaces. We also study sp-convergence, s-convergence and st-convergence using the sub-sequence of convergent sequence in fuzzy metric spaces and fuzzy normed spaces. Stationary fuzzy normed spaces are defined and investigated. We finally define sp-closed sets, s-closed sets and st-closed sets in fuzzy metric spaces and fuzzy normed spaces and investigate relations of them.

The Effect of Taping, Stretching and Ultrasound Intervention on Convergent Balance with Ankle Muscle Fatigue (발목 근 피로 시 테이핑, 스트레칭 그리고 초음파 중재가 융합적 균형에 미치는 효과)

  • Yu, Eun-Jeong;Lee, Su-Young
    • Journal of the Korea Convergence Society
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    • v.9 no.10
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    • pp.141-147
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    • 2018
  • The purpose of this study was to investigate the effects of taping, stretching and ultrasound on convergent balance ability with induced ankle muscle fatigue. Thirty-nine healthy adults participated voluntarily in this study. After the induction of their's ankle muscle fatigue, they were randomly assigned as taping, static stretching, or ultrasound group. And the intervention corresponding to each group was applied. Before and after induced ankle fatigue and after intervention, balance ability was measured using Space Balance 3D. Balance ability was no significant difference among groups (p>.05), but significantly increased within all three groups (p<.001). Therefore, the taping, static stretching, and ultrasound on ankle muscle fatigue are effective in convergent balance ability. In future studies, it is necessary to prove the therapeutic effect by applying various measurement variables and therapeutic intervention.

Convergent Relationships among Appearance Satisfaction, Self-Esteem, and Problem-Solving Ability of Adolescent (청소년의 외모만족도와 자존감 및 문제해결력의 융합적 관계)

  • Jang, Me-Young;Kang, Gyun-Young
    • Journal of the Korea Convergence Society
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    • v.8 no.4
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    • pp.79-87
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    • 2017
  • This study was a descriptive survey grasping the convergent relationship among the appearance satisfaction, self-esteem, and problem-solving ability of adolescents. The participants were 158 students of two middle schools in J city. The appearance satisfaction, self-esteem, problem-solving ability and general characteristics of students were measured. The data were collected from September 26 to October 14, 2016. The collected data was analyzed with t-test, ANOVA, Pearson's correlation coefficients. As a result, the level of appearance satisfaction, self-esteem and problem-solving ability were relatively above moderate. Problem-solving ability was positively correlated with appearance satisfaction(r=.602 p<.001) and self-esteem(r=.881, p<.001). Therefore, the arbitration program development and convergent access which can improve the appearance satisfaction and self-esteem in order to raise the program-solving ability is required.