• Smart Structures and Systems
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• 제23권1호
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• pp.45-60
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• 2019

This paper is devoted to proposing a new approach for damage detection of structures. In this technique, the biconjugate gradient method (BCG) is employed. To remedy the noise effects, a new preconditioning algorithm is applied. The proposed preconditioner matrix significantly reduces the condition number of the system. Moreover, based on the characteristics of the damage vector, a new direct search algorithm is employed to increase the efficiency of the suggested damage detection scheme by reducing the number of unknowns. To corroborate the high efficiency and capability of the presented strategy, it is applied for estimating the severity and location of damage in the well-known 31-member and 52-member trusses. For damage detection of these trusses, the time history responses are measured by a limited number of sensors. The results of numerical examples reveal high accuracy and robustness of the proposed method.

• 한국전산유체공학회:학술대회논문집
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• 한국전산유체공학회 1999년도 춘계 학술대회논문집
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• pp.98-105
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• 1999

The Pressure-based Unstructured-grid Navier-Stokes Solver PUNS-2/3D for incompressible steady and unsteady viscous flows has been developed. It is based on nonstaggered cell-centered finite volume method. Second-order upwind scheme with least-square reconstruction is used for convective fluxes. The SIMPLE method is implemented to couple the pressure and velocity fields. And the time derivatives in the momentum equations are discretised using a second-order Euler backward-differencing scheme. The discretised linear equations are solved by the preconditioned Biconjugate Gradient Stabilized method(Bi-CGSTAB). The developed solver is applied to validation problems using hybrid meshes.

• 전기전자학회논문지
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• 제16권4호
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• pp.328-334
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• 2012

본 논문에서는 레이더 단면적(RCS, Radar Cross Section)을 감소시키기 위한 전자파 구조로서 십자형 다이폴 슬롯을 원소로 가지며 다른 배열형태 구조를 갖는 구형 주파수 선택적 표면(FSS, Frequency Selective Surface) 구조의 전파특성을 해석하였다. 유한크기와 곡면형상을 갖는 구형 주파수 선택적 표면 구조의 주파수 특성을 해석하기 위해 RWG 함수를 적용한 3차원 모멘트법을 사용하였으며 반복법 중 하나인 BiCGSTab(Biconjugate Gradient Stabilized) 알고리즘을 적용하여 해석시간의 효율성을 개선하였다. 1m 직경을 갖는 완전도체(PEC, Perfect electric conductor)의 구에 대한 이론적 해석결과인 Mie의 RCS 특성과 비교 검증하여 제안한 해석 알고리즘의 유효함을 입증하였다. 구형 주파수 선택적 표면 구조에서 슬롯 성분의 배열 방법에 따른 RCS 변화를 관찰하여 비교하였으며, 곡면형상의 주파수 선택구조 설계시 배열의 방법도 RCS 특성에 중요한 변수가 될 수 있음을 확인하였다.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제21권2호
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• pp.129-139
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• 2014

In this paper, we present a detailed comparison of the performance of the numerical solvers such as the biconjugate gradient stabilized, operator splitting, and multigrid methods for solving the two-dimensional Black-Scholes equation. The equation is discretized by the finite difference method. The computational results demonstrate that the operator splitting method is fastest among these solvers with the same level of accuracy.