• Title/Summary/Keyword: higher order of convergence

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Formulation Method for Solid-to-Beam Transition Finite Elements

  • Im, Jang-Gwon;Song, Dae-Han;Song, Byeong-Ho
    • Journal of Mechanical Science and Technology
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    • v.15 no.11
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    • pp.1499-1506
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    • 2001
  • Various transition elements are used in general for the effective finite element analysis of complicated mechanical structures. In this paper, a solid-to-beam transition finite element, which can b e used for connecting a C1-continuity beam element to a continuum solid element, is proposed. The shape functions of the transition finite element are derived to meet the compatibility condition, and a transition element equation is formulated by the conventional finite element procedure. In order to show the effectiveness and convergence characteristics of the proposed transition element, numerical tests are performed for various examples. As a result of this study, following conclusions are obtained. (1) The proposed transition element, which meets the compatibility of the primary variables, exhibits excellent accuracy. (2) In case of using the proposed transition element, the number of nodes in the finite element model may be considerably reduced and the model construction becomes more convenient. (3) This formulation method can be applied to the usage of higher order elements.

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HIGHER ORDER DISCONTINUOUS GALERKIN FINITE ELEMENT METHODS FOR NONLINEAR PARABOLIC PROBLEMS

  • Ohm, Mi Ray;Lee, Hyun Young;Shin, Jun Yong
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.18 no.4
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    • pp.337-350
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    • 2014
  • In this paper, we consider discontinuous Galerkin finite element methods with interior penalty term to approximate the solution of nonlinear parabolic problems with mixed boundary conditions. We construct the finite element spaces of the piecewise polynomials on which we define fully discrete discontinuous Galerkin approximations using the Crank-Nicolson method. To analyze the error estimates, we construct an appropriate projection which allows us to obtain the optimal order of a priori ${\ell}^{\infty}(L^2)$ error estimates of discontinuous Galerkin approximations in both spatial and temporal directions.

Higher Order Uniformly Convergent Numerical Scheme for Singularly Perturbed Reaction-Diffusion Problems

  • Anilay, Worku Tilahun;Duressa, Gemechis File;Woldaregay, Mesfin Mekuria
    • Kyungpook Mathematical Journal
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    • v.61 no.3
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    • pp.591-612
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    • 2021
  • In this paper, a uniformly convergent numerical scheme is designed for solving singularly perturbed reaction-diffusion problems. The problem is converted to an equivalent weak form and then a Galerkin finite element method is used on a piecewise uniform Shishkin mesh with linear basis functions. The convergence of the developed scheme is proved and it is shown to be almost fourth order uniformly convergent in the maximum norm. To exhibit the applicability of the scheme, model examples are considered and solved for different values of a singular perturbation parameter ε and mesh elements. The proposed scheme approximates the exact solution very well.

Physicochemical of Turnip Baek-Kimchi and Anti-Cancer Effects of Human Gastric Cancer Cells (AGS) (순무백김치의 이화학적 특성 및 인체위암세포(AGS)의 항암효과)

  • Im, Gum Ja;Kang, Soon Ah
    • The Korean Journal of Food And Nutrition
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    • v.35 no.2
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    • pp.127-136
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    • 2022
  • Comparing the quality characteristics of kimchi were measured and anticancer effects using AGS human gastric cancer cells were observed. Five kinds of kimchi samples were made of Kanghwa Baek kimchi (KB), Kangwha Turnip kimchi (KT), Turnip: Chinese cabbage = 1:1 Baek kimchi (T1B1), Turnip:Chinese cabbage = 4:1 Baek kimchi (T4B1), Turnip mul kimchi (T). As a result T kimchi showed the best fermentation characteristics among the five samples. T kimchi had a lower percentage of the total number of aerobic bacteria, while the number of lactobacillus was higher than that of other samples. The mRNA and protein expression levels of apoptosis-related factors found that T kimchi significantly increases the mRNA expression levels of caspases-3 and caspases-9 in AGS human gastric cancer cells as compared to the other kimchi samples. It showed high anticancer effects in the order of T, T1B1, and KB kimchi. As the anticancer effect of Turnip mul kimchi made only of turnip was higher, the higher the turnip content, the higher the anticancer effect. These results show that there were changes in fermentation characteristics such as pH, acidity, number of lactic acid bacteria, and anticancer effects according to the ratio of turnip and cabbage.

CPSN (complex Pi-sigma network) equalizer for the compensation of nonlinearities in satellite communication channels (위성 통신 채널의 비선형성 보상을 위한 CPSN (Complex Pi-sigma Network) 신경회로망 등화기)

  • 진근식;윤병문;신요안
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.22 no.6
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    • pp.1231-1243
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    • 1997
  • Digital satellite communication channels have nonlinearities with memory due to saturation characteristics of traveling wave tube amplifier in the satellite and transmitter/receiver linear filters. In this paper, we propose a network structure and a learning algorithm for complex pi-sigma network (CPSK) and exploit CPSN in the problem of equalization of nonlinear satellite channels. The proposed CPSN is a complex-valued extension of real-valued pi-sigma network that is a higher-order feedforward network with fast learning while greatly reducing network complexity by utilizing efficient form of polynomials for many input variables. The performance of the proposed CPSN is demonstrated by computer simulations on the equalization of complex-valued QPSK input symbols distorted by a nonlinear channel modeled as a Volterra series and additive noise. The results indicate that the CPSN shows good equalization performance, fast convergence, and less computations as compared to conventional higher-order models such as Volterra filters.

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Phase Noise Spectrum Distribution Analysis for Next-generation VSAT Satellite System (차세대 VSAT 위성통신시스템의 위상잡음 스펙트럼 분포 해석)

  • Kim, Young-wan
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.20 no.10
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    • pp.1831-1836
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    • 2016
  • Phase noise spectrum distributions of signal generators for next-generation VSAT satellite system based on DVB-RCS2 were analyzed in this paper. The forward link of VSAT system utilizes the APSK higher-order modulation methods based on the DVB-S2 ACM, the modulation methods of the return link utilizes the higher-order PSK and QAM based on the DVB-RCS2. In digital satellite system using the higher-order modulation techniques, the phase noise have an effect on transmission performance, the transmission performance is dominantly degraded by the phase noise of signal generators in the transmission system. The phase noise spectrum distribution of signal generators are analyzed by considering the ACM conditions that adopts the modulation techniques and data rates due to satellite transmission environment. The proper phase noise spectrum distribution for next-generation VSAT system based on DVB-RCS2 are proposed from the analyzed phase noise spectrum characteristics.

Effect of Chloride-containing Deicing Salts Concentration on the Germination Characteristics of Six Species of Asteraceae and Poaceae Seeds (염화물계 제설제의 농도처리에 따른 벼과와 국화과의 종자 발아특성)

  • Yang, Ji;Lee, Jae-Man;Song, Hee-Yeon;Park, Sun-Young;Yoon, Yong-Han;Ju, Jin-Hee
    • Journal of Environmental Science International
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    • v.28 no.11
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    • pp.907-915
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    • 2019
  • This study aims to identify the most tolerant species under salinity stress from amongst Asteraceae and Poaceae. The seeds of six species were exposed to different concentrations of $CaCl_2$ (0, 9, 18, 45, 90 mM) and NaCl (0, 17, 34, 85, 170 mM), and germination was measured once every two days. The results indicated that percent germination of the six species of Asteraceae and Poaceae seeds were affected differently by changes in salinity concentration. Seed germination was reduced as salinity levels increase, and longer mean germination times correlated to lower percent germination and earlier germination cessation. Both Asteraceae and Poaceae seeds had the highest germination rates at 18 mM $CaCl_2$ and 34 mM NaCl, and seed germination and growth were severely reduced at salinities greater than 90 mM $CaCl_2$ and 170 mM NaCl. In the seeds of Poaceae, salt resistance was strong in the order of Miscanthus sinensis Andersson, Pennisetum alopecuroides (L.) Spreng., and Phragmites communis Trin. In the seeds of Asteraceae, salt resistance was strong in the order of Dendranthema zawadskii var. latilobum (Maxim.) Kitam, Aster yomena (Kitam.) Honda, and Dendranthema boreale (Makino) Ling ex Kitam.. Overall, the germination rate was higher in Asteraceae than in Poaceae. This study demonstrated that Dendranthema zawadskii var. latilobum (Maxim.) Kitam. is the most tolerant species and that a relationship exists between the salt tolerance of percent germination and the mean germination time in the leaves.

Investigating the perception of instructors on the use of virtual reality education (가상현실 교육적 활용에 대한 교수자의 인식조사)

  • Kim, Ji-Hyo;Park, Seong-Man;Lee, Young-Lim;Joo, Mee-Ran;Park, Eun-Seo;Park, Jong-Tae
    • Journal of Digital Convergence
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    • v.19 no.7
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    • pp.11-19
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    • 2021
  • The purpose of the study is to explore a plan for effective education using virtual reality in English education. In order to achieve the purpose of the study, the perception of English education using virtual reality was comprehensively investigated and analyzed for teachers(n=20) in the field of English education. The results of the study reveal the followings: 1) Teachers are positively aware of the necessity of English education using virtual reality, but most teachers complained of a psychological burden on education using virtual reality; 2) negative responses were somewhat higher than positive responses to the expectation that virtual reality-based English content would be practical in the educational field; 3) In order to increase the effectiveness of English education using virtual reality, it is necessary to share experiences for educational experience of virtual reality and need to provide various virtual reality contents; and 4) For virtual reality educational application, there is a high demand for teaching and learning method education and training using virtual reality and provision of guidelines for education using virtual reality.

Higher-order assumed stress quadrilateral element for the Mindlin plate bending problem

  • Li, Tan;Qi, Zhaohui;Ma, Xu;Chen, Wanji
    • Structural Engineering and Mechanics
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    • v.54 no.3
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    • pp.393-417
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    • 2015
  • In this paper an 8-node quadrilateral assumed stress hybrid Mindlin plate element with $39{\beta}$ is presented. The formulation is based on complementary energy principle. The proposed element is free of shear locking and is capable of passing all the patch tests, especially the non-zero constant shear enhanced patch test. To accomplish this purpose, special attention is devoted to selecting boundary displacement interpolation and stress approximation in domain. The arbitrary order Timoshenko beam function is successfully used to derive the boundary displacement interpolation. According to the equilibrium equations, an appropriate stress approximation is rationally derived. Particularly, in order to improve element's accuracy, the assumed stress field is derived by employing $39{\beta}$ rather than conventional $21{\beta}$. The resulting element can be adopted to analyze both moderately thick and thin plates, and the convergence for the very thin case can be ensured theoretically. Excellent element performance is demonstrated by a wide of experimental evaluations.

Influencing Factors of Nursing Students' College Life Adjustment in COVID-19 (COVID-19 상황에서 간호학생의 대학생활적응 영향요인)

  • An, Hyeran;Lee, Jiyeong
    • Journal of Convergence for Information Technology
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    • v.11 no.3
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    • pp.34-45
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    • 2021
  • The purpose of this study was to investigate the major selection motivation, academic stress, self-efficacy and college life adjustment and identify influencing factors of college life adjustment in the crisis situation of COVID-19. 243 nursing students were selected from 2 regions through convenience sampling. Data were analyzed through descriptive statistics, t-test, ANOVA, Scheffé test, Pearson's correlation coefficients and multiple linear regression analysis using SPSS for Windows Ver. 22.0. The higher the major selection motivation and self-efficacy, the higher the college life adjustment. The lower the academic stress, the higher the college life adjustment. The factors influencing college life adjustment were self-efficacy, major selection motivation, monthly allowance, and the explanatory power of these variables for college life adjustment was 65.6%. Therefore, in order to improve the nursing students' college life adjustment, it is necessary to develop and apply college life adjustment program to increase self-efficacy.