Applied Inverse Problems, 1st Edition

  • Published By:
  • ISBN-10: 1461478162
  • ISBN-13: 9781461478164
  • DDC: 515.357
  • Grade Level Range: College Freshman - College Senior
  • 197 Pages | eBook
  • Original Copyright 2013 | Published/Released June 2014
  • This publication's content originally published in print form: 2013

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This proceedings volume is based on papers presented at the First Annual Workshop on Inverse Problems which was held in June 2011 at the Department of Mathematics, Chalmers University of Technology. The purpose of the workshop was to present new analytical developments and numerical methods for solutions of inverse problems. State-of-the-art and future challenges in solving inverse problems for a broad range of applications was also discussed. The contributions in this volume are reflective of these themes and will be beneficial to researchers in this area.

Table of Contents

Front Cover.
Other Frontmatter.
Other Frontmatter.
Title Page.
Copyright Page.
Preface for Volume I: Applied Inverse Problems.
1: Theoretical and Numerical Study of Iteratively Truncated Newton's Algorithm.
2: Approximate Global Convergence in Imaging of Land Mines from Backscattered Data.
3: Time-Adaptive FEM for Distributed Parameter Identification in Biological Models.
4: Adaptive Finite Element Method in Reconstruction of Dielectrics from Backscattered Data.
5: A Posteriori Error Estimates for Fredholm Integral Equations of the First Kind.
6: Inverse Problems in Geomechanics: Diagnostics and Prediction of the State of Rock Masses with Estimating Their Properties.
7: A Globally Convergent Numerical Method for Coefficient Inverse Problems with Time-Dependent Data.
8: Adaptive FEM with Relaxation for a Hyperbolic Coefficient Inverse Problem.
9: Error Estimation in Ill-Posed Problems in Special Cases.
10: Stable Numerical Methods of Approaching Quantum Mechanical Molecular Force Fields to Experimental Data.
11: On the Alternating Method for Cauchy Problems and Its Finite Element Discretisation.