• 지구물리와물리탐사
• /
• 제6권2호
• /
• pp.77-86
• /
• 2003

자유면 경계조건을 정착하게 묘사할 수 있는 변위근사 유한차분법을 이용하는 시간영역 탄성파 모델링법을 고안하였다. 기존의 변위근사 유한차분법의 경우 변위와 매질의 물성을 격자점에 정의하는 격자군(격자점 기반의 격자군)을 이용하였으나, 이 연구에서 제시하는 새로운 유한차분법에서는 변위는 격자점에 정의하지만 매질의 물성을 격자점으로 둘러싸인 면에 정의하는 격자군(셀 기반의 격자군)을 이용한다. 매질의 물성을 셀에 정의할 경우 자유면에서 응력이 사라진다는 자유면 경계조건을 추가로 적용할 필요가 없으며 매질의 물성 변화만으로 자유면 경계조건을 표현할 수 있다. 수치예를 통한 정확도 분석 결과 셀 기반의 격자군을 이용할 경우 계산된 수치석인 해가 해석적인 해에 매우 근사함을 알 수 있었다.

• 대한수학회논문집
• /
• 제11권2호
• /
• pp.495-501
• /
• 1996

There is currently a regain of interest in ADI (Alternating Direction Implicit) method as a preconditioner for iterative Method for solving large sparse linear systems, because of its suitability for parallel computation. However the classical ADI is not applicable to FE(Finite Element) matrices. In this paper wer propose a Block-ADI method, which is applicable to Finite Element metrices. The new approach is a combination of classical ADI method and domain decompositi on. Also, we provide a partial proof of the convergence based on the results from the regular splittings, in case the discretization metrix is symmetric positive definite.

• 한국전자파학회논문지
• /
• 제7권4호
• /
• pp.320-327
• /
• 1996

This paper presents that the lossy or amplification property of the Finite Difference-Time Domain(FD-TD) method based on the leap-frog scheme is theoretically verified by using a plane wave analysis. The basic algorithm of the FD-TD method is introduced in order to help understanding the analysis procedure. Since our analysis is formulated by the Von Neumann's approach, the stability inequality is also produced as an another outcome.

• Journal of electromagnetic engineering and science
• /
• 제8권4호
• /
• pp.139-143
• /
• 2008

In this paper, a new scheme to calculate the weighting factor of the 2-D isotropic-dispersion finite difference time domain(ID-FDTD) is proposed. The weighting factor in [1] was formulated in free space, so that it may not be optimal in dielectric media. Therefore, the weighting factor was reformulated by considering the material properties and using the least mean square method. As a result, a minimum numerical dispersion error for any dielectric media is guaranteed.

• 호남수학학술지
• /
• 제22권1호
• /
• pp.9-16
• /
• 2000

An A-module M is catenary if for each pair of prime submodules K and L of M with $K{\subset}L$ all saturated chains of prime submodules of M from K to L have a common finite length. We show that when A is a Noetherian domain, then every finitely generated A-module is catenary if and only if A is a Dedekind domain or a field. Moreover, a torsion-free divisible A-module M is catenary if and only if the vector space M over Q(A) (the field of fractions of A) is finite dimensional.

• 대한전자공학회논문지TC
• /
• 제39권11호
• /
• pp.28-33
• /
• 2002

본 논문에서는 유한 차분 시간영역 해석법을 이용하여 PCS용 임피던스 정합 모노폴 마이크로스트립 안테나를 해석하였다. FDTD 격자를 나누기 위해서 Berenger 가 제안한 완전정합층 흡수경계조건을 사용하였다. 소스 신호로 Gaussian 펄스를 사용하고, 급전부는 내부저항 전압원을 적용시켜 모델링 하였다. FDTD법은 근계 해석 기술이므로 안테나의 방사패턴과 이득을 구하기 위해서는 시간영역과 주파수영역에 모두 적용이 가능한 근계를 원계로 변환하는 것이 필요하다. 따라서 원계 방사패턴을 계산하기 위해 주파수영역 변환을 사용하였다. FDTD법에 의해 얻어진 해석 결과는 HFSS 소프트웨어를 사용한 해석 결과와 비교 분석하였으며, 만족한 결과를 얻었다.

• 대한기계학회논문집A
• /
• 제24권6호
• /
• pp.1593-1600
• /
• 2000

A method based on frequency domain approaches is presented for the nonlinear parameters identification of structure having nonlinear joints. The finite element model of linear substructure is us ed to calculating its frequency response functions needed in parameter identification process. This method is easily applicable to a complex real structure having nonlinear elements since it uses the frequency response function of finite element model. Since this method is performed in frequency domain, the number of equations required to identify the unknown parameters can be easily increased as many as it needed, just by not only varying excitation amplitude but also selecting excitation frequencies. The validity of this method is tested numerically and experimentally with a cantilever beam having the nonlinear element. It was verified through examples that the method is useful to identify the nonlinear parameters of a structure having arbitary nonlinear boundaries.

• 한국해양공학회지
• /
• 제11권4호
• /
• pp.90-101
• /
• 1997

A hybrid element method is presented for two-dimensional diffraction problem of water waves. In this method, only a limited fluid domain close to irregular bodies is discretized into conventional finite elements, while the remaining infinite domain is treated as one element with analytical representations of high accuracy. A finite element grid is automatically generated by using Dealunay triangulation based on the Bowyer's algorithm and a linear system of equations is approximately solved with the ILU-CGS algorithm. To validate the present scheme, Computational results are compared with the existing experimental data and other numerical solutions.

• 대한기계학회:학술대회논문집
• /
• 대한기계학회 2008년도 추계학술대회A
• /
• pp.674-677
• /
• 2008

An advanced computational strategy for improvement of the accuracy of the structural analysis is developed in this paper. The finite elements connecting the primary nodes are constructed as a ground mesh in a domain, and the secondary nodes can be placed arbitrarily without reconstruction of a mesh. The support domains of the secondary nodes are defined on the basis of finite element mesh, and the shape functions are constructed by using MLS(moving least square) approximations. The present method is useful for controlling the errors without reconstruction of mesh when you add or remove nodes in a domain.

• Structural Engineering and Mechanics
• /
• 제14권1호
• /
• pp.71-84
• /
• 2002

A finite element formulation for the time-domain analysis of linear transient elastodynamic problems is presented based on the weak form obtained by applying the Galerkin's method to the integro-differential equations which contain the initial conditions implicitly and does not include the inertia terms. The weak form is extended temporally under the assumptions of the constant and linear time variations of field variables, since the time-stepping algorithms such as the Newmark method and the Wilson ${\theta}$-method are not necessary, obtaining two kinds of implicit finite element equations which are tested for numerical accuracy and convergency. Three classical examples having finite and infinite domains are solved and numerical results are compared with the other analytical and numerical solutions to show the versatility and accuracy of the presented formulation.