Polarization and moment tensors : with applications to inverse problems and effective medium theory
著者
書誌事項
Polarization and moment tensors : with applications to inverse problems and effective medium theory
（Applied mathematical sciences, v. 162）
Springer, c2007
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注記
Includes bibliographical references and index
"With 25 figures"
内容説明・目次
内容説明
This book presents important recent developments in mathematical and computational methods used in impedance imaging and the theory of composite materials. By augmenting the theory with interesting practical examples and numerical illustrations, the exposition brings simplicity to the advanced material. An introductory chapter covers the necessary basics. An extensive bibliography and open problems at the end of each chapter enhance the text.
目次
Introduction.- Layer Potentials and Transmission Problems.- Uniqueness for Inverse Conductivity Problems.- Generalized Isotropic and Anisotropic Polarization Tensors.- Full Asymptotic Formula for the Potentials.- Near-Boundary Conductivity Inclusions.- Impedance Imaging of Conductivity Inclusions.- Effective Properties of Electrical Composites.- Transmission Problem for Elastostatics.- Elastic Moment Tensor.- Full Asymptotic Expansion of the Displacement Field.- Imaging of Elastic Inclusions.- Effective Properties of Elastic Composites.- Appendices.- References.- Index.
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