Polarization and Moment Tensors
With Applications to Inverse Problems and Effective Medium Theory
Buch in deiner Nähe kaufen
Beschreibung
This book presents important recent developments in mathematical and computational methods used in impedance imaging and the theory of composite materials. The methods involved come from various areas of pure and applied mathematics, such as potential theory, PDEs, complex analysis, and numerical methods. The unifying thread in this book is the use of generalized polarization and moment tensors.
The main approach is based on modern layer potential techniques. 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.
With its extensive list of references and open problems, the book should enhance accessibility to specialized literature and stimulate progress in the fields of impedance imaging and composite materials. Graduate students and researchers in applied mathematics will benefit from this book. Researchers in engineering and physics might also find this book helpful.
This book presents important recent developments in mathematical and computational methods used in impedance imaging and the theory of composite materials. The exposition brings simplicity to the advanced material by augmenting the theory with interesting practical examples and numerical illustrations. An introductory chapter covers the necessary basics. An extensive bibliography and open problems at the end of each chapter enhance the text. Graduate students and researchers in mathematics will benefit from this book. Researchers in engineering and physics might also find it helpful.
Presents important developments in mathematical and computational methods used in impedance imaging and the theory of composite materials Theory is augmented by interesting practical examples and numerical illustrations Open problems at the end of each chapter Extensive bibliography enhances accessibility to specialized literature
Autor*in
Habib Ammari
Themen in »Polarization and Moment Tensors«
Mathematica Potential theory applied mathematics complex analysis electrostatics imaging partial differential equations
Stimmen zu »Polarization and Moment Tensors«
From the reviews:"The main purpose of the book is to assess the influence of small-volume buried inclusions on measurements performed at the boundary of a domain of interest. … This self-contained book will serve as an excellent reference for any mathematician interested in the reconstruction of constitutive parameters in a differential equation from boundary measurements." (Guillaume Bal, Mathematical Reviews, Issue 2009 f)“The present book deals with one of the most interesting topics in the theory of inverse problems … . any chapter of the volume contains an interesting section devoted to ‘Further results and open problems’. … the volume is extremely well-written and organized, as well as (reasonably) self-contained, so that any reader with a good knowledge in elliptic PDE’s and interest in inverse problems will enjoy it … .” (Alfredo Lorenzi, Zentralblatt MATH, Vol. 1220, 2011)
()