• Title/Summary/Keyword: Lowest order methods

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HIERARCHICAL ERROR ESTIMATORS FOR LOWEST-ORDER MIXED FINITE ELEMENT METHODS

  • Kim, Kwang-Yeon
    • Korean Journal of Mathematics
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    • v.22 no.3
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    • pp.429-441
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    • 2014
  • In this work we study two a posteriori error estimators of hierarchical type for lowest-order mixed finite element methods. One estimator is computed by solving a global defect problem based on the splitting of the lowest-order Brezzi-Douglas-Marini space, and the other estimator is locally computable by applying the standard localization to the first estimator. We establish the reliability and efficiency of both estimators by comparing them with the standard residual estimator. In addition, it is shown that the error estimator based on the global defect problem is asymptotically exact under suitable conditions.

DISCRETE COMPACTNESS PROPERTY FOR GENERAL QUADRILATERAL MESHES

  • KIM, JI HYUN
    • Journal of applied mathematics & informatics
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    • v.40 no.5_6
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    • pp.949-958
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    • 2022
  • The aim of this papaer is to prove the discrete compactness property for modified Raviart-Thomas element(MRT) of lowest order on quadrilateral meshes. Then MRT space can be used for eigenvalue problems, and is more efficient than the lowest order ABF space since it has less degrees of freedom.

REVIEW AND IMPLEMENTATION OF STAGGERED DG METHODS ON POLYGONAL MESHES

  • KIM, DOHYUN;ZHAO, LINA;PARK, EUN-JAE
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.25 no.3
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    • pp.66-81
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    • 2021
  • In this paper, we review the lowest order staggered discontinuous Galerkin methods on polygonal meshes in 2D. The proposed method offers many desirable features including easy implementation, geometrical flexibility, robustness with respect to mesh distortion and low degrees of freedom. Discrete function spaces for locally H1 and H(div) spaces are considered. We introduce special properties of a sub-mesh from a given star-shaped polygonal mesh which can be utilized in the construction of discrete spaces and implementation of the staggered discontinuous Galerkin method. For demonstration purposes, we consider the lowest case for the Poisson equation. We emphasize its efficient computational implementation using only geometrical properties of the underlying mesh.

Research recognition and image about dental technician (치과기공사에 대한 인식정도와 이미지 조사 - 대구지역을 중심으로 -)

  • Jung, Hyo-Kyung;Kim, Jeong-Sook;Lee, Seung-Hee
    • Journal of Technologic Dentistry
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    • v.32 no.2
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    • pp.91-102
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    • 2010
  • Purpose : The purpose of study was 500 people who are not related to dentistry in order to survey image about dental technicians. Methods : The subjects were composed of 500 people who are not related in Daegu Metropolitan city. This study was done using the Statistical Package for Social Sciences 17.0 for Windows. As for the analysis methods, the study used the frequency analysis, percentage, mean, t-test, analysis of variance. Results : The score on the image of dental technicians declined in the order of occupational image(2.98), work image(3.14), personal image(3.26), social image(2.87). 'It is hard and stressful' in the occupational image had the highest score with 3.69, 'Dentist and companionship are strong' in the occupational image had the lowest score with 2.21. 'It need expert knowledge and a skilled technology' in the work image had the highest score with 3.69, 'Health medical treatment side of health technique is occupation.' in the work image had the lowest score with 3.69. 'It always work busily' in the personal image had the highest score with 3.69, 'It is value and is effect work.' in the personal image had the lowest score with 3.69. 'An employment is easy after license acquisition.' in the social image had the highest score with 3.69, 'It admit independence' in the social image had the lowest score with 3.69. Conclusion : Dental technition research in order to image improvement and recognition, as the medical professional must construct the desirable dental technition image and recognition.

Correlation Between Professionalism, Job Satisfaction and Job Performance of the Physical Therapist

  • Park, Seung Kyu;Heo, Jae Won
    • The Journal of Korean Physical Therapy
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    • v.27 no.1
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    • pp.12-17
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    • 2015
  • Purpose: This study was conducted in order to understand the correlation between professionalism, job satisfaction, and job performance of physical therapists Methods: Subjects included 148 physiotherapists. We conducted a questionnaire survey on professionalism, job satisfaction, and business performance. We then performed a correlation analysis. Results: The highest 'compliance of professional organization' in professionalism, the lowest 'vocation awareness of the profession'. In job satisfaction, the highest satisfaction was reported for 'supervisor', and the lowest satisfaction for 'duty'. Professionalism and job satisfaction/job satisfaction and job performance showed a clear positive correlation, and professionalism and job performance showed a weak positive correlation. Conclusion: The results of this study indicate that, in order to improve the job performance of the physical therapist, it is necessary to improve professionalism and job satisfaction. Physical therapists should improve their professionalism in order to improve job performance. In addition, research to improve job satisfaction and job performance of the physical therapist should be continued.

SMOOTHERS BASED ON NONOVERLAPPING DOMAIN DECOMPOSITION METHODS FOR H(curl) PROBLEMS: A NUMERICAL STUDY

  • DUK-SOON, OH
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.26 no.4
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    • pp.323-332
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    • 2022
  • This paper presents a numerical study on multigrid algorithms of V-cycle type for problems posed in the Hilbert space H(curl) in three dimensions. The multigrid methods are designed for discrete problems originated from the discretization using the hexahedral Nédélec edge element of the lowest-order. Our suggested methods are associated with smoothers constructed by substructuring based on domain decomposition methods of nonoverlapping type. Numerical experiments to demonstrate the robustness and the effectiveness of the suggested algorithms are also provided.

ROBUST A POSTERIORI ERROR ESTIMATOR FOR LOWEST-ORDER FINITE ELEMENT METHODS OF INTERFACE PROBLEMS

  • KIM, KWANG-YEON
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.20 no.2
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    • pp.137-150
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    • 2016
  • In this paper we analyze an a posteriori error estimator based on flux recovery for lowest-order finite element discretizations of elliptic interface problems. The flux recovery considered here is based on averaging the discrete normal fluxes and/or tangential derivatives at midpoints of edges with weight factors adapted to discontinuous coefficients. It is shown that the error estimator based on this flux recovery is equivalent to the error estimator of Bernardi and $Verf{\ddot{u}}rth$ based on the standard edge residuals uniformly with respect to jumps of the coefficient between subdomains. Moreover, as a byproduct, we obtain slightly modified weight factors in the edge residual estimator which are expected to produce more accurate results.

Comparing Two Approaches of Analyzing Mixed Finite Volume Methods

  • Chou, So-Hsiang;Tang, Shengrong
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.5 no.1
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    • pp.55-78
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    • 2001
  • Given the anisotropic Poisson equation $-{\nabla}{\cdot}{\mathcal{K}}{\nabla}p=f$, one can convert it into a system of two first order PDEs: the Darcy law for the flux $u=-{\mathcal{K}{\nabla}p$ and conservation of mass ${\nabla}{\cdot}u=f$. A very natural mixed finite volume method for this system is to seek the pressure in the nonconforming P1 space and the Darcy velocity in the lowest order Raviart-Thomas space. The equations for these variables are obtained by integrating the two first order systems over the triangular volumes. In this paper we show that such a method is really a standard finite element method with local recovery of the flux in disguise. As a consequence, we compare two approaches in analyzing finite volume methods (FVM) and shed light on the proper way of analyzing non co-volume type of FVM. Numerical results for Dirichlet and Neumann problems are included.

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A study on the slacks pattern making according to the Movement-Fitness (Part I) (동작 적합성에 따른 Slacks Pattern 설계에 관한 연구 (Part I))

  • 박영득
    • Journal of the Korean Home Economics Association
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    • v.34 no.2
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    • pp.43-55
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    • 1996
  • The purpose of this study was to investigate the slacks pattern making on the movement-fitness of the knee region. The experimental items were divided into the lower limb movement (M1~M5) and slacks pattern designs (4 : basic pattern, in-pleats, side-pleats, seam-line increase). This study was done by clothing pressure test, sensory evaluation test and the difference shape-transformation of wearing-slacks. The summarized finding resulted from experiments and investigation are suggested as follows ; First, the clothing pressure test showed that the order of clothing pressure in the movement was the rabbit leap movement (M3), the sit on knees (M4), the nobleman sitting (M5), the sit on chair (M2) from the highest to the lowest. In the comparison of clothing pressure tested by blocks of lower-limb, center front knee region shows the highest of 300g/cm2. In it by constructional methods, the clothing pressure of in-pleats, side-pleats methods shows lower than basic pattern, hem-line increase methods. Also in comparison of the two methods, in-pleats method shows lower than side-pleats method. Second, by the sensory evaluation test based on the lower-limb movements and constructional methods of slacks, it was found that the functional factor score of the rabbit leap movement was also the waist, hip, knee region was the lowest in all blocks. And in the comparison of constructional methods, in-pleats method was the highest in all methods. Third, in consideration of the difference in the shape-transformation of wearing-slacks on the movement-fitness, pleats pattern design methods showed that the ratio of shape-transformation was lower than basic on seam-line increase methods. But the difference of the side-pleats and in-pleats methods was litle. According to these investigation, the slacks pattern making caused by movement-fitness on the knee region, in-pleats design method was the functional slacks pattern.

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Customer satisfaction on the nursing services;A relationship among the expectation and the perceived performance and the willingness of reuse of patients on the nursing services (간호서비스에 대한 고객만족에 관한 연구;환자의 기대와 성과지각 및 병원 재이용의사 간의 관계)

  • Jung, Won-Suk;Yoon, Sook-Hee
    • Journal of Korean Academy of Nursing Administration
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    • v.9 no.1
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    • pp.31-40
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    • 2003
  • Purposes : The purpose of this study is to analyze the correlation among Expectations, Performance-Perception, Willingness of reuse of hospital. Methods : The subjects of this study were 120 patients who were admitted in the hospitals over 1 week in Pusan. The data was collected by self-reporting questionnaires from Oct. 16th, to Nov. 5th, 2001. The data were analysed by SPSS/PC package using frequency, percentage, mean, standard deviation, Pearson's correlation coefficient. Results : The results were as follows; 1) The mean score of Expectation was 3 and over. The highest item was 'equal treatment' and the lowest was 'safety in transaction'. 2) The mean score of Performance-Perception was 4 and under. The highest item was 'nurse' attractive appearance' and the lowest was 'equal treatment', 'kindness and etiquette'. 3) The mean score of Willingness of reuse was 3.11. 4) There was a statistical significance of the difference between Expectations and Performance-Perception. The highest difference item was 'equal treatment', and then the lowest difference item was 'working environment arrangement/order'. 5) There were statistically significant positive correlation among Expectations, Performance-Perception, and Willingness of reuse. The highest correlation was 0.89 between Performance-Perception and Willingness of reuse. Conclusions : Nursing managers have to develop nurse training programs for improving of patient's performance perception on nursing service.

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