06327nam 22007575 450 991043803250332120200707014453.03-319-00660-610.1007/978-3-319-00660-4(CKB)3710000000024328(EBL)1466415(OCoLC)862577785(SSID)ssj0001049499(PQKBManifestationID)11588420(PQKBTitleCode)TC0001049499(PQKBWorkID)11019645(PQKB)10050513(DE-He213)978-3-319-00660-4(MiAaPQ)EBC1466415(PPN)176103260(EXLCZ)99371000000002432820131001d2013 u| 0engur|n|---|||||txtccrInverse Problems and Large-Scale Computations[electronic resource] /edited by Larisa Beilina, Yury V. Shestopalov1st ed. 2013.Cham :Springer International Publishing :Imprint: Springer,2013.1 online resource (223 p.)Springer Proceedings in Mathematics & Statistics,2194-1009 ;52Description based upon print version of record.3-319-00659-2 Includes bibliographical references and index.""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""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.Springer Proceedings in Mathematics & Statistics,2194-1009 ;52Computer mathematicsMechanicsMechanics, AppliedMathematical analysisAnalysis (Mathematics)Computational Science and Engineeringhttps://scigraph.springernature.com/ontologies/product-market-codes/M14026Solid Mechanicshttps://scigraph.springernature.com/ontologies/product-market-codes/T15010Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12007Computer mathematics.Mechanics.Mechanics, Applied.Mathematical analysis.Analysis (Mathematics).Computational Science and Engineering.Solid Mechanics.Analysis.515.357Beilina Larisaedthttp://id.loc.gov/vocabulary/relators/edtShestopalov Yury Vedthttp://id.loc.gov/vocabulary/relators/edtBOOK9910438032503321Inverse Problems and Large-Scale Computations2513590UNINA