This book is a comprehensive description of the current theoretical and numerical aspects of inverse problems in partial differential equations. Applications include recovery of inclusions from anomalies of their gravity fields, reconstruction of the interior of the human body from exterior electrical, ultrasonic, and magnetic measurement. The reconstruction of the interior structural parameters of machines and of the underground are also discussed together with further scientific and engineering applications. By presenting this data in a readable and informative manner, the book introduces both scientific and engineering researchers and graduate students to significant work done in this area in recent years, relating it to broader themes in mathematical analysis.
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A comprehensive description of the current theoretical and numerical aspects of inverse problems in partial differential equations. Applications include recovery of inclusions from anomalies of their gravity fields, reconstruction of the interior of the human body from exterior electrical, ultrasonic, and magnetic measurement. By presenting the data in a readable and informative manner, the book introduces both scientific and engineering researchers as well as graduate students to the significant work done in this area in recent years, relating it to broader themes in mathematical analysis.
"The first edition of this excellent book appeared in 1998 and became a standard reference for everyone interested in analysis and numerics of inverse problems in partial differential equations. ... The second edition is considerably expanded and reflects important recent developments in the field ... . Some of the research problems from the first edition have been solved ... ." --Johannes Elschner, Zentralblatt MATH, Vol. 1092 (18), 2006
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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