LEADER 06327nam 22007575 450 001 9910438032503321 005 20200707014453.0 010 $a3-319-00660-6 024 7 $a10.1007/978-3-319-00660-4 035 $a(CKB)3710000000024328 035 $a(EBL)1466415 035 $a(OCoLC)862577785 035 $a(SSID)ssj0001049499 035 $a(PQKBManifestationID)11588420 035 $a(PQKBTitleCode)TC0001049499 035 $a(PQKBWorkID)11019645 035 $a(PQKB)10050513 035 $a(DE-He213)978-3-319-00660-4 035 $a(MiAaPQ)EBC1466415 035 $a(PPN)176103260 035 $a(EXLCZ)993710000000024328 100 $a20131001d2013 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aInverse Problems and Large-Scale Computations$b[electronic resource] /$fedited by Larisa Beilina, Yury V. Shestopalov 205 $a1st ed. 2013. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2013. 215 $a1 online resource (223 p.) 225 1 $aSpringer Proceedings in Mathematics & Statistics,$x2194-1009 ;$v52 300 $aDescription based upon print version of record. 311 $a3-319-00659-2 320 $aIncludes bibliographical references and index. 327 $a""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 I?? and A Priori Estimates""; ""5.1 The Dual Problem for a Linearized Approach""; ""6 A Posteriori Error Estimation"" 327 $a""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"" 327 $a""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"" 327 $a""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"" 327 $a""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"" 327 $a""References"" 330 $aThis volume is a result of two international workshops, namely the Second Annual Workshop on Inverse Problems and the Workshop on Large-Scale Modeling, held jointly in Sunne, Sweden from May 1-6 2012. The subject of the inverse problems workshop was to present new analytical developments and new numerical methods for solutions of inverse problems. The objective of the large-scale modeling workshop was to identify large-scale problems arising in various fields of science and technology and covering all possible applications, with a particular focus on urgent problems in theoretical and applied electromagnetics. The workshops brought together scholars, professionals, mathematicians, and programmers and specialists working in large-scale modeling problems.   The contributions in this volume are reflective of these themes and will be beneficial to researchers in this area. 410 0$aSpringer Proceedings in Mathematics & Statistics,$x2194-1009 ;$v52 606 $aComputer mathematics 606 $aMechanics 606 $aMechanics, Applied 606 $aMathematical analysis 606 $aAnalysis (Mathematics) 606 $aComputational Science and Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/M14026 606 $aSolid Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15010 606 $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007 615 0$aComputer mathematics. 615 0$aMechanics. 615 0$aMechanics, Applied. 615 0$aMathematical analysis. 615 0$aAnalysis (Mathematics). 615 14$aComputational Science and Engineering. 615 24$aSolid Mechanics. 615 24$aAnalysis. 676 $a515.357 702 $aBeilina$b Larisa$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aShestopalov$b Yury V$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a9910438032503321 996 $aInverse Problems and Large-Scale Computations$92513590 997 $aUNINA