Inverse Problems and Large-Scale Computations [electronic resource] /
Beilina, Larisa.editor.
Shestopalov, Yury V.editor.
This volume is a result of two international workshops, namely the Second Annual Workshop on Inverse Problems and the Workshop on Large-Scale Modeling, held jointly in Sunne, Sweden from May 1-6 2012. The subject of the inverse problems workshop was to present new analytical developments and new numerical methods for solutions of inverse problems. The objective of the large-scale modeling workshop was to identify large-scale problems arising in various fields of science and technology and covering all possible applications, with a particular focus on urgent problems in theoretical and applied electromagnetics. The workshops brought together scholars, professionals, mathematicians, and programmers and specialists working in large-scale modeling problems.   The contributions in this volume are reflective of these themes and will be beneficial to researchers in this area.
Description based upon print version of record.
""Preface for Volume II: Inverse Problems and Large-Scale Computations""; ""Contents""; ""Adaptive Approximate Globally Convergent Algorithm with Backscattered Data""; ""1 Introduction""; ""2  The Forward and Inverse Problems""; ""2.1 The Nonlinear Integro-Differential Equation with Eliminated Unknown Coefficient""; ""3 A Sequence of Elliptic Dirichlet Boundary Value Problems""; ""4 A Finite Element Discretization""; ""5 Bounds for the Nonlinear Operator Î? and A Priori Estimates""; ""5.1 The Dual Problem for a Linearized Approach""; ""6 A Posteriori Error Estimation""
""7 The Adaptive Approximate Globally Convergent Algorithm""""7.1 An Approximate Globally Convergent Algorithm""; ""7.2 Adaptive Approximate Globally Convergent Algorithm""; ""8 Imaging of Land Mines Using an Adaptive Approximate Globally Convergent Algorithm""; ""8.1 Numerical Results""; ""8.2 Test 1""; ""8.3 Test 2""; ""References""; ""On the Formulation of Inverse Problem in Electrical Prospecting""; ""1 The First Inverse Problem""; ""2 The Second Inverse Problem""; ""3 The Third Inverse Problem""; ""References""
""Approximate Globally Convergent Algorithm with Applications in Electrical Prospecting""""1 Introduction""; ""2 The Maxwell Equations in Time Domain""; ""3 Approximately Globally Convergent Method""; ""3.1 Laplace Transformation of the Initial Boundary Value Problem""; ""3.2 The Transformation Procedure""; ""3.3 Modeling of the Tail Function V(x,s)""; ""3.4  New Approximate Mathematical Model""; ""3.5 The Algorithm""; ""References""; ""Preset Field Approximation and Self-consistent Analysis of the Scattering and Generation of Oscillations by a Layered Structure""; ""1 Introduction""
""2 Technique""""3 Results""; ""3.1 Example 1: Three-Layered Structure""; ""3.2 Example 2: Single-Layered Structure with a Positive Value of the Cubic Susceptibility""; ""4 Conclusion""; ""References""; ""A Posteriori Estimates for Errors of Functionalson Finite Volume Approximations to Solutions of Elliptic Boundary-Value Problems""; ""1 Introduction""; ""2 The Finite Volume Scheme""; ""3 A Posteriori Error Estimates for Nonlinear Problems""; ""4 Application to the Finite Volume Method""; ""References""
""Electromagnetic Wave Propagation in Nonlinear Layered Waveguide Structures: Computational Approach to Determine Propagation Constants""""1 Introduction""; ""2 TE Waves""; ""2.1 Statement of the Problem""; ""2.2 Differential Equations of the Problem""; ""2.3 Transmission Conditions""; ""2.4 Existence of Eigenvalues""; ""2.5 Numerical Method""; ""3 TM Waves""; ""3.1 Statement of the Problem""; ""3.2 Differential Equations of the Problem""; ""3.3 Transmission Conditions""; ""3.4 Existence of Eigenvalues""; ""3.5 Numerical Method""; ""4 Two-Layer Waveguide: TE Waves""; ""5 Conclusion""
""References""
Includes bibliographical references and index.
This volume is a result of two international workshops, namely the Second Annual Workshop on Inverse Problems and the Workshop on Large-Scale Modeling, held jointly in Sunne, Sweden from May 1-6 2012. The subject of the inverse problems workshop was to present new analytical developments and new numerical methods for solutions of inverse problems. The objective of the large-scale modeling workshop was to identify large-scale problems arising in various fields of science and technology and covering all possible applications, with a particular focus on urgent problems in theoretical and applied electromagnetics. The workshops brought together scholars, professionals, mathematicians, and programmers and specialists working in large-scale modeling problems.   The contributions in this volume are reflective of these themes and will be beneficial to researchers in this area.
Computer mathematics.
Mechanics.
Mechanics, Applied.
Mathematical analysis.
Analysis (Mathematics).
Computational Science and Engineering.
Solid Mechanics.
Analysis.