Reconstruction of Small Inhomogeneities from Boundary Measurements (Lecture Notes in Mathematics)
Edition: 1 edition
Publisher: Springer
Published: September 29, 2005
Language: eng
Format: Paperback
Number of pages: 238
ISBN-13: 9783540224839
Subjects: Materials science; Mathematics; Science/Mathematics; Differential Equations; 35R30, 35B30; Mathematics / Differential Equations; inverse boundary value problems; layer potential techniques; reconstruction; small inhomogeneities; Geometry - General
Description: This is the first book to provide a systematic exposition of promising techniques for the reconstruction of small inhomogeneities from boundary measurements. In particular, theoretical results and numerical procedures for the inverse problems for the conductivity equation, the Lamé system, as well as the Helmholtz equation are discussed in a readable and informative manner. The general approach developed in this book is based on layer potential techniques and modern asymptotic analysis of partial differential equations. The book is particularly suitable for graduate students in mathematics.