Format:
Online-Ressource (X, 217 p. 56 illus., 30 illus. in color, online resource)
ISBN:
9783319006604
Series Statement:
Springer Proceedings in Mathematics & Statistics 52
Content:
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.
Note:
Includes bibliographical references and index
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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 Λ 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
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7.1 An Approximate Globally Convergent Algorithm7.2 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
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3.1 Laplace Transformation of the Initial Boundary Value Problem3.2 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
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A Posteriori Estimates for Errors of Functionalson Finite Volume Approximations to Solutions of Elliptic Boundary-Value Problems1 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
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3 TM Waves3.1 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; Performance of Multi-cores and Multiprocessor Computers for Some 3D Problems of Nonlinear Optics and Gaseous Dynamics; 1 Introduction; 2 Problem Statement; 2.1 Second Harmonic Generation Problem; 2.2 Laser Plume Expansion Problem; 3 Finite-Difference Schemes; 3.1 Finite-Difference Scheme for Laser Plume Expansion Problem; 3.2 Finite-Difference Scheme for SHG Problem
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4 Hardware and Software Considered
Additional Edition:
ISBN 9783319006598
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 978-331-90065-9-8
Language:
English
DOI:
10.1007/978-3-319-00660-4
URL:
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