Hyeonbae Kang et al 2005 J. Phys.: Conf. Ser. 12 75 doi:10.1088/1742-6596/12/1/008
Reconstruction of polygonal cavities by two boundary measurements
Hyeonbae Kang1,3, Mikyong Lim1,4 and Gen Nakamura2,5
Show affiliationsReconstruction procedure for identifying an unknown polygonal cavity inside a homogeneous, isotropic conductive medium from two boundary measurements is given. The assumptions of the cavity is that there are at most one concave vertex between two convex vertices and the vertices are well separated. The Neumann data of the boundary measurement can change sign at most once and the sets on which one of them become positive and negative must be disjoint.
- PACS
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02.30.Mv Approximations and expansions
02.30.Jr Partial differential equations
02.60.Lj Ordinary and partial differential equations; boundary value problems
- MSC
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35R30 Inverse problems (undetermined coefficients, etc.) for PDE
35J05 Laplace equation, reduced wave equation (Helmholtz), Poisson equation (See also 31Axx, 31Bxx)
35N15
-Neumann problem and generalizations; formal complexes (See also 32W05, 32W10, 58J10)
- Subjects
- Dates
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Issue 1 (2005)
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Reconstruction of polygonal cavities by two boundary measurements
Hyeonbae Kang et al 2005 J. Phys.: Conf. Ser. 12 75
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