Polarization and Moment Tensors: With Applications to Inverse Problems and Effective Medium TheorySpringer Science & Business Media, 16 de jun. de 2007 - 314 páginas 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. |
Conteúdo
| 1 | |
| 7 | |
3 | 32 |
Uniqueness for Inverse Conductivity Problems | 67 |
4 | 75 |
Full Asymptotic Formula for the Potentials 129 | 128 |
NearBoundary Conductivity Inclusions | 145 |
Impedance Imaging of Conductivity Inclusions | 161 |
Transmission Problem for Elastostatics | 211 |
Elastic Moment Tensor | 237 |
Full Asymptotic Expansions of the Displacement Field 261 | 260 |
Imaging of Elastic Inclusions | 269 |
Effective Properties of Elastic Composites | 285 |
References | 295 |
| 311 | |
Effective Properties of Electrical Composites | 195 |
Outras edições - Ver todos
Polarization and Moment Tensors: With Applications to Inverse Problems and ... Habib Ammari,Hyeonbae Kang Prévia não disponível - 2007 |
Polarization and Moment Tensors: With Applications to Inverse Problems and ... Habib Ammari,Hyeonbae Kang Prévia não disponível - 2010 |
Termos e frases comuns
algorithm anisotropic Appl Applications associated assume asymptotic expansion boundary boundary measurements bounded bounded Lipschitz domain chapter compact completes composite compute conductivity conductivity problem consider constant containing corresponding defined definition denote depends derive Detection determine disk effective elastic electrical ellipse EMTs estimate example exists fact field first-order formula function given gives GPTs harmonic function hence holds identity imaging inclusions inequality interesting introduce inverse Inverse Problems Lamé layer potentials Lemma linear materials Math Mathematical matrix method Moreover Note numerical Observe obtain ôly operator periodic perturbations polarization tensor positive presence problem Proof properties prove radius reconstruction relation representation respectively satisfies solution solve space Suppose symmetric takes Theorem Theory transmission problem unique variational voltage volume yields zero
Passagens mais conhecidas
Página 1 - ... 1. Introduction Impedance imaging uses measurements of boundary voltage potentials and associated boundary currents to infer information about the internal conductivity profile of an object. Complete information about all voltages and currents is known to uniquely characterize an isotropic internal conductivity profile [8, 27, 33, 34].
Referências a este livro
An Introduction to Mathematics of Emerging Biomedical Imaging Habib Ammari Visualização parcial - 2008 |