Author: Didier Delaunay Publisher: American Society of Mechanical Engineers ISBN: Category : Mathematics Languages : en Pages : 708
Book Description
Presents 79 papers from the June 1996 conference, covering a wide range of topics in the areas of mathematics, mechanics, and heat transfer. Presented by scientists, mathematicians, and engineers from the U.S. and Europe, papers include treatments of: bidimensional inversion in microwave radiometric imaging, iteration schemes for inverse obstacle problems, and inverse approach to plasto-hydrodynamic lubrication. Annotation copyrighted by Book News, Inc., Portland, OR
Author: Heinz H. Bauschke Publisher: Springer Science & Business Media ISBN: 1441995692 Category : Mathematics Languages : en Pages : 409
Book Description
"Fixed-Point Algorithms for Inverse Problems in Science and Engineering" presents some of the most recent work from top-notch researchers studying projection and other first-order fixed-point algorithms in several areas of mathematics and the applied sciences. The material presented provides a survey of the state-of-the-art theory and practice in fixed-point algorithms, identifying emerging problems driven by applications, and discussing new approaches for solving these problems. This book incorporates diverse perspectives from broad-ranging areas of research including, variational analysis, numerical linear algebra, biotechnology, materials science, computational solid-state physics, and chemistry. Topics presented include: Theory of Fixed-point algorithms: convex analysis, convex optimization, subdifferential calculus, nonsmooth analysis, proximal point methods, projection methods, resolvent and related fixed-point theoretic methods, and monotone operator theory. Numerical analysis of fixed-point algorithms: choice of step lengths, of weights, of blocks for block-iterative and parallel methods, and of relaxation parameters; regularization of ill-posed problems; numerical comparison of various methods. Areas of Applications: engineering (image and signal reconstruction and decompression problems), computer tomography and radiation treatment planning (convex feasibility problems), astronomy (adaptive optics), crystallography (molecular structure reconstruction), computational chemistry (molecular structure simulation) and other areas. Because of the variety of applications presented, this book can easily serve as a basis for new and innovated research and collaboration.
Author: Masataka Tanaka Publisher: Elsevier ISBN: 008053516X Category : Technology & Engineering Languages : en Pages : 635
Book Description
Inverse problems can be found in many topics of engineering mechanics. There are many successful applications in the fields of inverse problems (non-destructive testing and characterization of material properties by ultrasonic or X-ray techniques, thermography, etc.). Generally speaking, the inverse problems are concerned with the determination of the input and the characteristics of a mechanical system from some of the output from the system. Mathematically, such problems are ill-posed and have to be overcome through development of new computational schemes, regularization techniques, objective functionals, and experimental procedures. Seventy-two papers were presented at the International Symposium on Inverse Problems in Mechanics (ISIP '98) held in March of 1998 in Nagano, where recent developments in the inverse problems in engineering mechanics and related topics were discussed. The main themes were: mathematical and computational aspects of the 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.
Author: Helcio R. B. Orlande
Author: Helcio R. B. Orlande
Author: Nicholas Zabaras
Author: Keith A. Woodbury
Author: Didier Delaunay
Author: Heinz H. Bauschke
Author: 
Author: 
Author: Masataka Tanaka
Author: