Inverse Problems and Large-Scale Computations [[electronic resource] /] / edited by Larisa Beilina, Yury V. Shestopalov

• Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2013
• Edizione: 1st ed. 2013.
• Descrizione fisica: 1 online resource (223 p.)
• Disciplina: 515.357
• Soggetto topico: Computer mathematics; Mechanics; Mechanics, Applied; Mathematical analysis; Analysis (Mathematics); Computational Science and Engineering; Solid Mechanics; Analysis
• Persona (resp. second.): BeilinaLarisa; ShestopalovYury V
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: ""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""
• Sommario/riassunto: 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.
• Titolo autorizzato: Inverse Problems and Large-Scale Computations
• ISBN: 3-319-00660-6
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910438032503321
• Lo trovi qui: Univ. Federico II
• Serie: Springer Proceedings in Mathematics & Statistics, . 2194-1009 ; ; 52