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Inverse Problems are found in many areas of engineering mechanics
and there are many successful applications e.g. in non-destructive
testing and characterization of material properties by ultrasonic
or X-ray techniques, thermography, etc. Generally speaking, inverse
problems are concerned with the determination of the input and the
characteristics of a system, given certain aspects of its output.
Mathematically, such problems are ill-posed and have to be overcome
through development of new computational schemes, regularization
techniques, objective functionals, and experimental procedures.
This volume contains a selection of peer-reviewed papers presented
at the International Symposium on Inverse Problems in Engineering
Mechanics (ISIP2001), held in February of 2001 in Nagano, Japan,
where recent development in inverse problems in engineering
mechanics and related topics were discussed.
The following general areas in inverse problems in engineering
mechanics were the subjects of the ISIP2001: mathematical and
computational aspects of inverse problems, parameter or system
identification, shape determination, sensitivity analysis,
optimization, material property characterization, ultrasonic
non-destructive testing, elastodynamic inverse problems, thermal
inverse problems, and other engineering applications. These papers
can provide a state-of-the-art review of the research on inverse
problems in engineering mechanics.
Nowadays inverse problems and applications in science and
engineering represent an extremely active research field. The
subjects are related to mathematics, physics, geophysics,
geochemistry, oceanography, geography and remote sensing,
astronomy, biomedicine, and other areas of applications. This
monograph reports recent advances of inversion theory and recent
developments with practical applications in frontiers of sciences,
especially inverse design and novel computational methods for
inverse problems. The practical applications include inverse
scattering, chemistry, molecular spectra data processing,
quantitative remote sensing inversion, seismic imaging,
oceanography, and astronomical imaging. The book serves as a
reference book and readers who do research in applied mathematics,
engineering, geophysics, biomedicine, image processing, remote
sensing, and environmental science will benefit from the contents
since the book incorporates a background of using statistical and
non-statistical methods, e.g., regularization and optimization
techniques for solving practical inverse problems.
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