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Applicable Analysis
An International Journal
Volume 72, 1999 - Issue 1-2
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Original Articles

Identification of the shape of the inclusion in the anisotropic elastic body

Masaru Ikehata Department of Mathematics, Faculty of Engineering Gunma University, Japan
,
Gen Nakamura Department of Mathematics, Faculty of Engineering Gunma University, Japan
&
Kazumi Tanuma Division of Mathematical Sciences, Osaka Kyoiku University, Kashiwara, Japan
Pages 17-26 | Received 01 Oct 1998, Published online: 02 May 2007

Citations (17)

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Read on this site (3)

Gen Nakamura, Roland Potthast & Mourad Sini. (2006) Unification of the Probe and Singular Sources Methods for the Inverse Boundary Value Problem by the No-Response Test. Communications in Partial Differential Equations 31:10, pages 1505-1528.
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Yuki Daido, Masaru Ikehata & Gen Nakamura. (2004) Reconstruction of inclusions for the inverse boundary value problem with mixed type boundary condition. Applicable Analysis 83:2, pages 109-124.
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N.S. Mera, L. Elliott & D.B. Ingham. (2003) A Real Coded Genetic Algorithm Approach for Detection of Subsurface Isotropic and Anisotropic Inclusions. Inverse Problems in Engineering 11:2, pages 157-173.
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Articles from other publishers (13)

Sarah Eberle-Blick & Nuutti Hyvönen. (2024) Bayesian experimental design for linear elasticity. Inverse Problems and Imaging 0:0, pages 0-0.
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Sarah Eberle-Blick & Bastian Harrach. (2023) Resolution guarantees for the reconstruction of inclusions in linear elasticity based on monotonicity methods. Inverse Problems 39:7, pages 075006.
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Masaru Ikehata. (2023) Extracting discontinuity using the probe and enclosure methods. Journal of Inverse and Ill-posed Problems 0:0.
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Sarah Eberle & Bastian Harrach. (2021) Shape reconstruction in linear elasticity: standard and linearized monotonicity method. Inverse Problems 37:4, pages 045006.
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Giovanni Alessandrini, Michele Di Cristo, Antonino Morassi & Edi Rosset. (2014) Stable Determination of an Inclusion in an Elastic Body by Boundary Measurements. SIAM Journal on Mathematical Analysis 46:4, pages 2692-2729.
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Jin Cheng, Jijun Liu, Gen Nakamura & Shengzhang Wang. (2009) Recovery of multiple obstacles by probe method. Quarterly of Applied Mathematics 67:2, pages 221-247.
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H. Takuwa, G. Uhlmann & J.-N. Wang. (2008) Complex geometrical optics solutions for anisotropic equations and applications. Journal of Inverse and Ill-posed Problems 16:8.
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Gen Nakamura & Jenn-Nan Wang. (2006) Unique continuation for the two-dimensional anisotropic elasticity system and its applications to inverse problems. Transactions of the American Mathematical Society 358:7, pages 2837-2853.
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Gen Nakamura, Gunther Uhlmann & Jenn-Nan Wang. (2005) Oscillating–decaying solutions, Runge approximation property for the anisotropic elasticity system and their applications to inverse problems. Journal de Mathématiques Pures et Appliquées 84:1, pages 21-54.
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Yuki Daido & Gen Nakamura. (2004) Reconstruction of inclusions for the inverse boundary value problem with mixed type boundary condition and source term. Inverse Problems 20:5, pages 1599-1619.
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Gen Nakamura, Gunther Uhlmann & Jenn-Nan Wang. (2003) Reconstruction of cracks in an inhomogeneous anisotropic elastic medium. Journal de Mathématiques Pures et Appliquées 82:10, pages 1251-1276.
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Gen Nakamura & Jenn-Nan Wang. (2003) Unique Continuation for an Elasticity System with Residual Stress and Its Applications. SIAM Journal on Mathematical Analysis 35:2, pages 304-317.
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N.S. Mera & D. Lesnic. (2003) A boundary element method for the numerical inversion of discontinuous anisotropic conductivities. Engineering Analysis with Boundary Elements 27:1, pages 1-7.
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