Ebook: Applied Inverse Problems: Select Contributions from the First Annual Workshop on Inverse Problems
- Tags: Mathematical Physics, Mathematical Applications in the Physical Sciences, Analysis
- Series: Springer Proceedings in Mathematics & Statistics 48
- Year: 2013
- Publisher: Springer-Verlag New York
- Edition: 1
- Language: English
- pdf
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.
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.
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.
Content:
Front Matter....Pages i-xiii
Theoretical and Numerical Study of Iteratively Truncated Newton’s Algorithm....Pages 1-14
Approximate Global Convergence in Imaging of Land Mines from Backscattered Data....Pages 15-36
Time-Adaptive FEM for Distributed Parameter Identification in Biological Models....Pages 37-50
Adaptive Finite Element Method in Reconstruction of Dielectrics from Backscattered Data....Pages 51-73
A Posteriori Error Estimates for Fredholm Integral Equations of the First Kind....Pages 75-93
Inverse Problems in Geomechanics: Diagnostics and Prediction of the State of Rock Masses with Estimating Their Properties....Pages 95-103
A Globally Convergent Numerical Method for Coefficient Inverse Problems with Time-Dependent Data....Pages 105-128
Adaptive FEM with Relaxation for a Hyperbolic Coefficient Inverse Problem....Pages 129-153
Error Estimation in Ill-Posed Problems in Special Cases....Pages 155-164
Stable Numerical Methods of Approaching Quantum Mechanical Molecular Force Fields to Experimental Data....Pages 165-181
On the Alternating Method for Cauchy Problems and Its Finite Element Discretisation....Pages 183-197