The multilevel fast multipole algorithm (MLFMA) for solving large-scale computational electromagnetics problems / (Record no. 42524)
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| fixed length control field | 11754nam a2200985 i 4500 |
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| control field | 6817683 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | IEEE |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20191218152125.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr |n||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 151222s2014 njua ob 001 eng d |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER | |
| Canceled/invalid LC control number | 2014013922 (print) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781118844977 |
| Qualifying information | ebook |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9781119977414 |
| Qualifying information | |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 1118844971 |
| Qualifying information | electronic |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9781118844908 |
| Qualifying information | electronic |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 1118844904 |
| Qualifying information | electronic |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9781118844915 |
| Qualifying information | electronic |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 1118844912 |
| Qualifying information | electronic |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1002/9781118844977 |
| Source of number or code | doi |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaBNVSL)mat06817683 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (IDAMS)0b0000648254aa69 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | CaBNVSL |
| Language of cataloging | eng |
| Description conventions | rda |
| Transcribing agency | CaBNVSL |
| Modifying agency | CaBNVSL |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QC760.54 |
| Item number | .E75 2014eb |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Ergul, Ozgur, |
| Relator term | author. |
| 245 14 - TITLE STATEMENT | |
| Title | The multilevel fast multipole algorithm (MLFMA) for solving large-scale computational electromagnetics problems / |
| Statement of responsibility, etc. | Ozgur Ergul. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | First edition. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Piscataway, NJ : |
| Name of producer, publisher, distributor, manufacturer | IEEE Press ; |
| Place of production, publication, distribution, manufacture | Chichester, West Sussex : |
| Name of producer, publisher, distributor, manufacturer | Wiley, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2014. |
| 264 #2 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | [Piscataqay, New Jersey] : |
| Name of producer, publisher, distributor, manufacturer | IEEE Xplore, |
| Date of production, publication, distribution, manufacture, or copyright notice | [2014] |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 PDF (xiv, 455 pages, 38 unnumbered pages of plates) : |
| Other physical details | illustrations. |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | electronic |
| Source | isbdmedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | IEEE Press series on electromagnetic wave theory |
| 500 ## - GENERAL NOTE | |
| General note | Edition statement from running title area. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Includes bibliographical references and index. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Preface xi -- List of Abbreviations xiii -- 1 Basics 1 -- 1.1 Introduction 1 -- 1.2 Simulation Environments Based on MLFMA 2 -- 1.3 From Maxwell's Equations to Integro-Differential Operators 3 -- 1.4 Surface Integral Equations 7 -- 1.5 Boundary Conditions 9 -- 1.6 Surface Formulations 10 -- 1.7 Method of Moments and Discretization 12 -- 1.7.1 Linear Functions 15 -- 1.8 Integrals on Triangular Domains 21 -- 1.8.1 Analytical Integrals 22 -- 1.8.2 Gaussian Quadratures 26 -- 1.8.3 Adaptive Integration 26 -- 1.9 Electromagnetic Excitation 29 -- 1.9.1 Plane-Wave Excitation 29 -- 1.9.2 Hertzian Dipole 31 -- 1.9.3 Complex-Source-Point Excitation 31 -- 1.9.4 Delta-Gap Excitation 32 -- 1.9.5 Current-Source Excitation 34 -- 1.10 Multilevel Fast Multipole Algorithm 35 -- 1.11 Low-Frequency Breakdown of MLFMA 39 -- 1.12 Iterative Algorithms 41 -- 1.12.1 Symmetric Lanczos Process 42 -- 1.12.2 Nonsymmetric Lanczos Process 44 -- 1.12.3 Arnoldi Process 45 -- 1.12.4 Golub-Kahan Process 45 -- 1.13 Preconditioning 46 -- 1.14 Parallelization of MLFMA 50 -- 2 Solutions of Electromagnetics Problems with Surface Integral Equations 53 -- 2.1 Homogeneous Dielectric Objects 53 -- 2.1.1 Surface Integral Equations 54 -- 2.1.2 Surface Formulations 55 -- 2.1.3 Discretizations of Surface Formulations 58 -- 2.1.4 Direct Calculations of Interactions 60 -- 2.1.5 General Properties of Surface Formulations 67 -- 2.1.6 Decoupling for Perfectly Conducting Surfaces 73 -- 2.1.7 Accuracy with Respect to Contrast 74 -- 2.2 Low-Contrast Breakdown and Its Solution 77 -- 2.2.1 A Combined Tangential Formulation 77 -- 2.2.2 Nonradiating Currents 80 -- 2.2.3 Conventional Formulations in the Limit Case 81 -- 2.2.4 Low-Contrast Breakdown 82 -- 2.2.5 Stabilization by Extraction 82 -- 2.2.6 Double-Stabilized Combined Tangential Formulation 87 -- 2.2.7 Numerical Results for Low Contrasts 88 -- 2.2.8 Breakdown for Extremely Low Contrasts 91 -- 2.2.9 Field-Based-Stabilized Formulations 93 -- 2.2.10 Numerical Results for Extremely Low Contrasts 95. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 2.3 Perfectly Conducting Objects 105 -- 2.3.1 Comments on the Integral Equations 106 -- 2.3.2 Internal-Resonance Problem 108 -- 2.3.3 Formulations of Open Surfaces 108 -- 2.3.4 Low-Frequency Breakdown 111 -- 2.3.5 Accuracy with the RWG Functions 115 -- 2.3.6 Compatibility of the Integral Equations 122 -- 2.3.7 Convergence to Minimum Achievable Error 124 -- 2.3.8 Alternative Implementations of MFIE 130 -- 2.3.9 Curl-Conforming Basis Functions for MFIE 131 -- 2.3.10 LN-LT Type Basis Functions for MFIE and CFIE 137 -- 2.3.11 Excessive Discretization Error of the Identity Operator 160 -- 2.4 Composite Objects with Multiple Dielectric and Metallic Regions 165 -- 2.4.1 Special Case: Homogeneous Dielectric Object 168 -- 2.4.2 Special Case: Coated Dielectric Object 169 -- 2.4.3 Special Case: Coated Metallic Object 172 -- 2.5 Concluding Remarks 175 -- 3 Iterative Solutions of Electromagnetics Problems with MLFMA 177 -- 3.1 Factorization and Diagonalization of the Green's Function 177 -- 3.1.1 Addition Theorem 177 -- 3.1.2 Factorization of the Translation Functions 180 -- 3.1.3 Expansions 183 -- 3.1.4 Diagonalization 184 -- 3.2 Multilevel Fast Multipole Algorithm 186 -- 3.2.1 Recursive Clustering 186 -- 3.2.2 Far-Field Interactions 187 -- 3.2.3 Radiation and Receiving Patterns 188 -- 3.2.4 Near-Field Interactions 190 -- 3.2.5 Sampling 190 -- 3.2.6 Computational Requirements 192 -- 3.2.7 Anterpolation 194 -- 3.3 Lagrange Interpolation and Anterpolation 196 -- 3.3.1 Two-Step Method 198 -- 3.3.2 Virtual Extension 199 -- 3.3.3 Sampling at the Poles 201 -- 3.3.4 Interpolation of Translation Operators 205 -- 3.4 MLFMA for Hermitian Matrix-Vector Multiplications 211 -- 3.5 Strategies for Building Less-Accurate MLFMA 213 -- 3.6 Iterative Solutions of Surface Formulations 215 -- 3.6.1 Hybrid Formulations of PEC Objects 216 -- 3.6.2 Iterative Solutions of Normal Equations 226 -- 3.6.3 Iterative Solutions of Dielectric Objects 238 -- 3.6.4 Iterative Solutions of Composite Objects with Multiple Dielectric and Metallic Regions 247. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 3.7 MLFMA for Low-Frequency Problems 252 -- 3.7.1 Factorization of the Matrix Elements 256 -- 3.7.2 Low-Frequency MLFMA 259 -- 3.7.3 Broadband MLFMA 261 -- 3.7.4 Numerical Results 261 -- 3.8 Concluding Remarks 268 -- 4 Parallelization of MLFMA for the Solution of Large-Scale Electromagnetics Problems 269 -- 4.1 On the Parallelization of MLFMA 269 -- 4.2 Parallel Computing Platforms for Numerical Examples 270 -- 4.3 Electromagnetics Problems for Numerical Examples 271 -- 4.4 Simple Parallelizations of MLFMA 271 -- 4.4.1 Near-Field Interactions 271 -- 4.4.2 Far-Field Interactions 273 -- 4.5 The Hybrid Parallelization Strategy 274 -- 4.5.1 Aggregation Stage 275 -- 4.5.2 Translation Stage 277 -- 4.5.3 Disaggregation Stage 278 -- 4.5.4 Communications in Hybrid Parallelizations 278 -- 4.5.5 Numerical Results with the Hybrid Parallelization Strategy 279 -- 4.6 The Hierarchical Parallelization Strategy 283 -- 4.6.1 Hierarchical Partitioning of Tree Structures 283 -- 4.6.2 Aggregation Stage 285 -- 4.6.3 Translation Stage 286 -- 4.6.4 Disaggregation Stage 286 -- 4.6.5 Communications in Hierarchical Parallelizations 287 -- 4.6.6 Irregular Partitioning of Tree Structures 288 -- 4.6.7 Comparisons with Previous Parallelization Strategies 289 -- 4.6.8 Numerical Results with the Hierarchical Parallelization Strategy 291 -- 4.7 Efficiency Considerations for Parallel Implementations of MLFMA 295 -- 4.7.1 Efficient Programming 295 -- 4.7.2 System Software 297 -- 4.7.3 Load Balancing 297 -- 4.7.4 Memory Recycling and Optimizations 302 -- 4.7.5 Parallel Environment 306 -- 4.7.6 Parallel Computers 315 -- 4.8 Accuracy Considerations for Parallel Implementations of MLFMA 317 -- 4.8.1 Mesh Quality 324 -- 4.9 Solutions of Large-Scale Electromagnetics Problems Involving PEC Objects 324 -- 4.9.1 PEC Sphere 326 -- 4.9.2 Other Canonical Problems 338 -- 4.9.3 NASA Almond 342 -- 4.9.4 Flamme 354 -- 4.10 Solutions of Large-Scale Electromagnetics Problems Involving Dielectric Objects 358 -- 4.11 Concluding Remarks 368. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 5 Applications 369 -- 5.1 Case Study: External Resonances of the Flamme 369 -- 5.2 Case Study: Realistic Metamaterials Involving Split-Ring Resonators and Thin Wires 373 -- 5.3 Case Study: Photonic Crystals 377 -- 5.4 Case Study: Scattering from Red Blood Cells 380 -- 5.5 Case Study: Log-Periodic Antennas and Arrays 389 -- 5.5.1 Nonplanar Trapezoidal-Tooth Log-Periodic Antennas 389 -- 5.5.2 Circular Arrays of Log-Periodic Antennas 395 -- 5.5.3 Circular-Sectoral Arrays of Log-Periodic Antennas 403 -- 5.6 Concluding Remarks 410 -- Appendix 411 -- A.1 Limit Part of the Operator 411 -- A.2 Post Processing 412 -- A.2.1 Near-Zone Electromagnetic Fields 413 -- A.2.2 Far-Zone Fields 414 -- A.3 More Details of the Hierarchical Partitioning Strategy 423 -- A.3.1 Aggregation/Disaggregation Stages 423 -- A.3.2 Translation Stage 424 -- A.4 Mie-Series Solutions 425 -- A.4.1 Definitions 426 -- A.4.2 Debye Potentials 426 -- A.4.3 Electric and Magnetic Fields 427 -- A.4.4 Incident Fields 427 -- A.4.5 Perfectly Conducting Sphere 428 -- A.4.6 Dielectric Sphere 428 -- A.4.7 Coated Perfectly Conducting Sphere 429 -- A.4.8 Coated Dielectric Sphere 430 -- A.4.9 Far-Field Expressions 432 -- A.5 Electric-Field Volume Integral Equation 433 -- A.6 Calculation of Some Special Functions 437 -- A.6.1 Spherical Bessel Functions 437 -- A.6.2 Legendre Functions 437 -- A.6.3 Gradient of Multipole-to-Monopole Shift Functions 439 -- A.6.4 Gaunt Coefficients 439 -- References 441. |
| 506 1# - RESTRICTIONS ON ACCESS NOTE | |
| Terms governing access | Restricted to subscribers or individual electronic text purchasers. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | "Provides a detailed and instructional overview of implementing MLFMA. Presents a comprehensive treatment of the MLFMA algorithm, including basic linear algebra concepts, recent developments on the parallel computation, and a number of application examples. Covers solutions of electromagnetic problems involving dielectric objects and perfectly-conducting objects. Discusses applications including scattering from airborne targets, scattering from red blood cells, radiation from antennas and arrays, metamaterials etc. Is written by authors who have more than 25 years experience on the development and implementation of MLFMA. The book will be useful for post-graduate students, researchers, and academics, studying in the areas of computational electromagnetics, numerical analysis, and computer science, and who would like to implement and develop rigorous simulation environments based on MLFMA"-- |
| Assigning source | Provided by publisher. |
| 530 ## - ADDITIONAL PHYSICAL FORM AVAILABLE NOTE | |
| Additional physical form available note | Also available in print. |
| 538 ## - SYSTEM DETAILS NOTE | |
| System details note | Mode of access: World Wide Web |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on PDF viewed 12/22/2015. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Electromagnetism |
| General subdivision | Data processing. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Electromagnetism |
| General subdivision | Computer simulation. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Algorithms. |
| 655 #0 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
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| -- | Boundary conditions |
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| -- | Cameras |
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| -- | Cavity resonators |
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| -- | Color |
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| -- | Computers |
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| -- | Dielectrics |
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| -- | Electromagnetics |
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| -- | Ellipsoids |
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| -- | Equations |
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| -- | Image reconstruction |
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| -- | Integral equations |
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| -- | Light sources |
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| -- | Load management |
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| -- | MLFMA |
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| -- | Magnetic fields |
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| -- | Mathematical model |
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| -- | Maxwell equations |
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| -- | Metamaterials |
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| -- | Partitioning algorithms |
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| -- | Three-dimensional displays |
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| -- | Visualization |
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| -- | Wires |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Gurel, Levent, |
| Relator term | author. |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | IEEE Xplore (Online Service), |
| Relator term | distributor. |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | Wiley, |
| Relator term | publisher. |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | IEEE Antennas and Propagation Society, |
| Relator term | sponsor. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| International Standard Book Number | 9781119977414 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | IEEE Press series on electromagnetic wave theory. |
| 856 42 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | Abstract with links to resource |
| Uniform Resource Identifier | https://ieeexplore.ieee.org/xpl/bkabstractplus.jsp?bkn=6817683 |
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