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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.
Theoretical and Numerical Study of Iteratively Truncated Newton’s Algorithm
Approximate Global Convergence in Imaging of Land Mines from Backscattered Data
Time-Adaptive FEM for Distributed Parameter Identification in Biological Models
Adaptive Finite Element Method in Reconstruction of Dielectrics from Backscattered Data
A Posteriori Error Estimates for Fredholm Integral Equations of the First Kind
Inverse Problems in Geomechanics: Diagnostics and Prediction of the State of Rock Masses with Estimating Their Properties
A Globally Convergent Numerical Method for Coefficient Inverse Problems with Time-Dependent Data
Adaptive FEM with Relaxation for a Hyperbolic Coefficient Inverse Problem
Error Estimation in Ill-Posed Problems in Special Cases
Stable Numerical Methods of Approaching Quantum Mechanical Molecular Force Fields to Experimental Data
On the Alternating Method for Cauchy Problems and Its Finite Element Discretisation