• Title/Summary/Keyword: Galerkin' method

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Analysis of the TE Scattering by a Resistive Strip Grating Over a Grounded Dielectric Plane (접지된 유전체 평면위의 저항띠 격자구조에 의한 TE 산란 해석)

  • Yoon, Uei-Joong
    • Journal of Advanced Navigation Technology
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    • v.10 no.3
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    • pp.198-204
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    • 2006
  • In this paper, TE(transverse electric) scattering problems by a resistive strip grating on a grounded dielectric plane according to the strip width and grating period, the relative permittivity and thickness of dielectric layer, and incident angles of a TE plane wave are analyzed by applying the FGMM(Fourier-Galerkin Moment Method) known as a numerical procedure. The induced surface current density is simply expanded in a Fourier series by using the exponential function as a simple function. The reflected power gets increased according as the relative permittivity and thickness of dielectric multilayers gets increased, the sharp variations of the reflected power are due to resonance effects were previously called wood's anomallies[7]. To verify the validity of the proposed method, the numerical results of normalized reflected power for the uniform resistivity R = 0 as a conductive strip case show in good agreement with those in the existing paper.

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Analysis of TE Scattering by a Conductive Strip Grating Between a Double Dielectric Layer (2중 유전체층 사이의 완전도체띠 격자구조에 의한 TE 산란 해석)

  • Yoon, Uei-Joong
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.19 no.2
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    • pp.47-52
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    • 2019
  • In this paper, TE(transverse electric) scattering problems by a conductive strip grating between a double dielectric layer are analyzed by applying the FGMM(Fourier-Galerkin moment method) known as a numerical method of electromagnetic fileld. The boundary conditions are applied to obtain the unknown field coefficients, and the conductive boundary condition is applied to analysis of the conductive strip. The numerical results for the normalized reflected and transmitted power are analyzed by according as the width and spacing of conductive strip, the relative permittivity and thickness of the double dielectric layers, and incident angles. Generally, as the value of the dielectric constant increases, the reflected power increases and the transmitted power decreases, respectively. As the dielectric constant increases, the current density induced in the strip increases as it goes to both strip ends. The numerical results for the presented structure of this paper are shown in good agreement compared to those of the existing papers.

Solution of TE Scattering Applying FGMM for Resistive Strip Grating Between a Grounded Double Dielectric Layer (접지된 2중 유전체층 사이의 저항띠 격자에 대해 FGMM을 적용한 TE 산란 해)

  • Uei-Joong Yoon
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.23 no.3
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    • pp.71-76
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    • 2023
  • In this paper, TE(transverse electric) scattering problems by a resistive strip grating between a grounded double dielectric layer are analyzed by applying the FGMM(fourier galerkin moment method) known as a numerical method of electromagnetic fileld. The boundary conditions are applied to obtain the unknown field coefficients, the scattered electromagnetic fields are expanded in a series of Floquet mode functions, and the resistive boundary condition is applied to analysis of the resistive strip. Overall, as the resistivity decreased, the magnitude of the current density induced in the resistive strip increased, and the reflected power also increased. In case of uniform resistivity, the reflected power decreased as the relative permittivity of the dielectric layers increased or the thickness of the dielectric layer increased. The numerical results for the presented structure in this paper are shown in good agreement compared to those of the existing papers.

Combined Extended and Superimposed Finite Element Method for Crack Analysis (균열해석을 위한 겹침확장 유한요소법)

  • 이상호;송정훈;허문석
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2004.04a
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    • pp.341-348
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    • 2004
  • This paper presents a modeling technique of cracks by combined extended and superposed finite element method (XSFEM) which is a combination of the extended finite element method (XFEM) and the mesh superposition method (sversion FEM). In the proposed method, the near-tip field is modeled by a superimposed patch consisting of quarter point elements and the rest of the discontinuity is treated by the XFEM. The actual crack opening in this method is measured by the sum of the crack openings of XFEM and SFEM in transition region. This method retains the strong point of the XFEM so it can avoid remeshing in crack evolution and trace the crack growth by translation or rotation of the overlaid mesh and the update of the nodes to be enriched by step functions. Moreover, the quadrature of the Galerkin weak form becomes simpler. Numerical experiments are provided to demonstrate the effectiveness and robustness of the proposed method.

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Analysis of the Fatigue Crack Growth in Pipe Using Finite Element Alternating Method (배관 피로균열 성장 해석을 위한 유한요소 교호법의 적용)

  • Kim, Tae-Soon;Park, Sang-Yun;Park, Jai-Hak;Park, Chi-Yong
    • Proceedings of the KSME Conference
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    • 2004.11a
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    • pp.124-129
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    • 2004
  • Finite element alternating method have been suggested and used for assessing the integrity of cracked structures. In the paper, in order to analyze arbitrarily shaped three dimensional cracks, the finite element alternating method is extended. The cracks are modeled as a distribution of displacement discontinuities by the displacement discontinuity method and the symmetric Galerkin boundary element method. Applied the proposed method to three dimensional crack included in the elbow, the efficiency and applicability of the method were demonstrated.

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Coupling of Meshfree Method and Finite Element Method for Dynamic Crack Propagation Analysis (무요소법과 유한요소법의 결합에 의한 동적균열전팍문제의 해석)

  • 이상호;김효진
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2000.04b
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    • pp.324-331
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    • 2000
  • In this study, a new algorithm analyzing dynamic crack propagation problem by the coupling technique of Meshfree Method and Finite Element Method is proposed. The coupling procedure of two methods is presented with a short description of Meshfree Method especially, Element-free Galerkin (EFG) method. The elastodynamic fracture theory is presented, and a numerical implementation procedure for dynamic fracture analysis by Meshfree Method is also discussed. A couple of dynamic crack propagation problems illustrate the performance of the propsed technique. The accuracy of numerical solutions by the developed algorithm are compared with those of analytical solutions and experimental ones.

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Treatment of Essential Boundary Conditions using Modified Weight Functions in Meshless Method (무요소법에서 가중함수를 수정한 필수경계조건 처리법)

  • 강명석;윤성기
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.11
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    • pp.2705-2712
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    • 2000
  • In meshless methods some techniques to impose essential boundary conditions have been developed since the approximations do not satisfy Kronecker delta properties at nodal points. In this study, new scheme for imposing essential boundary conditions is developed. Weight functions are modified by multiplying with auxiliary weight functions and the resulting shape functions satisfy Kronecker delta property on the bound ary nodes. In addition, the resulting shape functions possess and interpolation features on the boundary segments where essential boundary conditions are prescribed. Therefore the essential boundary conditions can be exactly satisfied with the new method. More importantly, the impositions of essential boundary conditions using the present method is relatively easy as in finite element method. Numerical examples show that the method also retains high convergence rate comparable to Lagrange multiplier method.

Analysis of Arbitrarily Shaped Three Dimensional Cracks in an Infinite Body Using the FEAM (유한요소 교호법을 이용한 무한 물체에 존재하는 임의 형상의 삼차원 균열 해석)

  • Kim, Tae-Soon;Park, Jai-Hak;Park, Chi-Yong
    • Proceedings of the KSME Conference
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    • 2004.04a
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    • pp.278-283
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    • 2004
  • Many analysis methods, including finite element method, have been suggested and used for assessing the integrity of cracked structures. In the paper, in order to analyze arbitrarily shaped three dimensional cracks in an infinite body, the finite element alternating method is extended. The cracks are modeled as a distribution of displacement discontinuities by the displacement discontinuity method and the symmetric Galerkin boundary element method. Applied the proposed method to several example problems for planner cracks in finite bodies, the accuracy and efficiency of the method were demonstrated.

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Characteristics of Antenna Factor for Open Sleeve Dipole Antennas (슬리브 다이폴 안테나의 안테나 인자 특성)

  • Ju, Chang-Hyun;Park, Eun-Jung;Kim, Ki-Chai
    • Proceedings of the Korea Electromagnetic Engineering Society Conference
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    • 2005.11a
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    • pp.285-288
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    • 2005
  • This paper presents the characteristics of antenna factors for sleeve dipole antennas with a broad bandwidth. The coupled integral equations for the unknown current distributions on each elements are derived and solved by applying Galerkin's method of moments. The flatness of antenna factor is considered. with variation of the length and number of sleeve elements.

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GLOBAL EXISTENCE AND STABILITY FOR EULER-BERNOULLI BEAM EQUATION WITH MEMORY CONDITION AT THE BOUNDARY

  • Park, Jong-Yeoul;Kim, Joung-Ae
    • Journal of the Korean Mathematical Society
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    • v.42 no.6
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    • pp.1137-1152
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    • 2005
  • In this article we prove the existence of the solution to the mixed problem for Euler-Bernoulli beam equation with memory condition at the boundary and we study the asymptotic behavior of the corresponding solutions. We proved that the energy decay with the same rate of decay of the relaxation function, that is, the energy decays exponentially when the relaxation function decay exponentially and polynomially when the relaxation function decay polynomially.