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RISS 인기검색어
- 검색키워드
- 주제어 : cell boundary element method (검색결과 4 건)
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A CELL BOUNDARY ELEMENT METHOD FOR A FLUX CONTROL PROBLEM
Jeon, Youngmok,Lee, Hyung-Chun Korean Mathematical Society 2013 대한수학회지 Vol.50 No.1
We consider a distributed optimal flux control problem: finding the potential of which gradient approximates the target vector field under an elliptic constraint. Introducing the Lagrange multiplier and a change of variables the Euler-Lagrange equation turns into a coupled equation of an elliptic equation and a reaction diffusion equation. The change of variables reduces iteration steps dramatically when the Gauss-Seidel iteration is considered as a solution method. For the elliptic equation solver we consider the Cell Boundary Element (CBE) method, which is the finite element type flux preserving methods.
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A cell boundary element method for a flux control problem
전영목,이형천 대한수학회 2013 대한수학회지 Vol.50 No.1
We consider a distributed optimal flux control problem: finding the potential of which gradient approximates the target vector field under an elliptic constraint. Introducing the Lagrange multiplier and a change of variables the Euler-Lagrange equation turns into a coupled equation of an elliptic equation and a reaction diffusion equation. The change of variables reduces iteration steps dramatically when the Gauss-Seidel iteration is considered as a solution method. For the elliptic equation solver we consider the Cell Boundary Element(CBE) method, which is the finite element type flux preserving methods.
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Kyung, Je-Woon,Yokota, Masaru,Leelalerkiet, V.,Ohtsu, Masayasu The Korean Society for Nondestructive Testing 2005 한국비파괴검사학회지 Vol.25 No.3
In order to evaluate the corrosion of reinforcing steel-bars (rebar) in concrete, a nondestructive evaluation by the half-cell potential method is currently applied. In this study, potentials measured on a concrete surface are compensated into those on the concrete-rebar interface by the inverse boundary element method (IBEM). Because these potentials are obtained three-dimensionally (3-D), 3-D visualization is desirable. To this end, a visualization system has been developed by using VRML (Virtual Reality Modeling Language). As an application, results of a reinforced concrete (RC) slab with corroded rebars are visualized and discussed.
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IBEM analyses on half-cell potential measurement for NDE of rebar corrosion
Kyung, Je-Woon,Tae, Sung-Ho,Lee, Han-Seung,Alver, Yalcin,Yoo, Jo-Hyeong TECHNO-PRESS 2007 COMPUTERS AND CONCRETE Vol.4 No.4
Corrosion of Reinforcement (rebar) is nondestructively estimated by the half-cell potential measurement. As is the case with other nondestructive testings (NDT), understanding of the underlying principles should be clarified in order to obtain meaningful results. Therefore, the measurement of potentials in concrete is analytically investigated. The effect of internal defects on the potentials measured is clarified numerically by the boundary element method (BEM). Thus, a simplified inversion by BEM is applied to convert the potentials on concrete surface to those on rebars, taking into account the concrete resistivity. Because the potentials measured on concrete surface are so sensitive to moisture content, concrete resistivity and surface condition, an inverse procedure to convert the potentials on concrete surface into those on rebars is developed on the basis of BEM. It is found that ASTM criterion is practically applicable to estimate corrosion from the potential values converted. In experiments, an applicability of the procedure is examined by accelerated corrosion tests of reinforced concrete (RC) slabs. For practical use, the procedure is developed where results of IBEM are visualized by VRML (Virtual Reality modeling Language) in three-dimensional space.
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