Details

The Finite Element Method in Electromagnetics


The Finite Element Method in Electromagnetics


IEEE Press 3. Aufl.

von: Jian-Ming Jin

144,99 €

Verlag: Wiley
Format: EPUB
Veröffentl.: 31.03.2014
ISBN/EAN: 9781118841983
Sprache: englisch
Anzahl Seiten: 876

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Beschreibungen

<b>A new edition of the leading textbook on the finite element method, incorporating major advancements and further applications in the field of electromagnetics</b> <p>The finite element method (FEM) is a powerful simulation technique used to solve boundary-value problems in a variety of engineering circumstances. It has been widely used for analysis of electromagnetic fields in antennas, radar scattering, RF and microwave engineering, high-speed/high-frequency circuits, wireless communication, electromagnetic compatibility, photonics, remote sensing, biomedical engineering, and space exploration.</p> <p><i>The Finite Element Method in Electromagnetics, Third Edition</i> explains the method’s processes and techniques in careful, meticulous prose and covers not only essential finite element method theory, but also its latest developments and applications—giving engineers a methodical way to quickly master this very powerful numerical technique for solving practical, often complicated, electromagnetic problems.</p> <p>Featuring over thirty percent new material, the third edition of this essential and comprehensive text now includes:</p> <ul> <li>A wider range of applications, including antennas, phased arrays, electric machines, high-frequency circuits, and crystal photonics</li> <li>The finite element analysis of wave propagation, scattering, and radiation in periodic structures</li> <li>The time-domain finite element method for analysis of wideband antennas and transient electromagnetic phenomena</li> <li>Novel domain decomposition techniques for parallel computation and efficient simulation of large-scale problems, such as phased-array antennas and photonic crystals</li> </ul> <p>Along with a great many examples, <i>The Finite Element Method in Electromagnetics</i> is an ideal book for engineering students as well as for professionals in the field.</p>
Preface xix <p>Preface to the First Edition xxiii</p> <p>Preface to the Second Edition xxvii</p> <p><b>1 Basic Electromagnetic Theory 1</b></p> <p>1.1 Brief Review of Vector Analysis 2</p> <p>1.2 Maxwell's Equations 4</p> <p>1.3 Scalar and Vector Potentials 6</p> <p>1.4 Wave Equations 7</p> <p>1.5 Boundary Conditions 8</p> <p>1.6 Radiation Conditions 11</p> <p>1.7 Fields in an Infinite Homogeneous Medium 11</p> <p>1.8 Huygen's Principle 13</p> <p>1.9 Radar Cross Sections 14</p> <p>1.10 Summary 15</p> <p><b>2 Introduction to the Finite Element Method 17</b></p> <p>2.1 Classical Methods for Boundary-Value Problems 17</p> <p>2.2 Simple Example 21</p> <p>2.3 Basic Steps of the Finite Element Method 27</p> <p>2.4 Alternative Presentation of the Finite Element Formulation 34</p> <p>2.5 Summary 36</p> <p><b>3 One-Dimensional Finite Element Analysis 39</b></p> <p>3.1 Boundary-Value Problem 39</p> <p>3.2 Variational Formulation 40</p> <p>3.3 Finite Element Analysis 42</p> <p>3.4 Plane-Wave Reflection by a Metal-Backed Dielectric Slab 53</p> <p>3.5 Scattering by a Smooth, Convex Impedance Cylinder 59</p> <p>3.6 Higher-Order Elements 62</p> <p>3.7 Summary 74</p> <p><b>4 Two-Dimensional Finite Element Analysis 77</b></p> <p>4.1 Boundary-Value Problem 77</p> <p>4.2 Variational Formulation 79</p> <p>4.3 Finite Element Analysis 81</p> <p>4.4 Application to Electrostatic Problems 98</p> <p>4.5 Application to Magnetostatic Problems 103</p> <p>4.6 Application to Quasistatic Problems: Analysis of Multiconductor Transmission Lines 105</p> <p>4.7 Application to Time-Harmonic Problems 109</p> <p>4.8 Higher-Order Elements 128</p> <p>4.9 Isoparametric Elements 144</p> <p>4.10 Summary 149</p> <p><b>5 Three-Dimensional Finite Element Analysis 151</b></p> <p>5.1 Boundary-Value Problem 151</p> <p>5.2 Variational Formulation 152</p> <p>5.3 Finite Element Analysis 153</p> <p>5.4 Higher-Order Elements 160</p> <p>5.5 Isoparametric Elements 162</p> <p>5.6 Application to Electrostatic Problems 168</p> <p>5.7 Application to Magnetostatic Problems 169</p> <p>5.8 Application to Time-Harmonic Field Problems 176</p> <p>5.9 Summary 188</p> <p><b>6 Variational Principles for Electromagnetics 191</b></p> <p>6.1 Standard Variational Principle 192</p> <p>6.2 Modified Variational Principle 197</p> <p>6.3 Generalized Variational Principle 201</p> <p>6.4 Variational Principle for Anisotrpic Medium 203</p> <p>6.5 Variational Principle for Resistive Sheets 207</p> <p>6.6 Concluding Remarks 209</p> <p><b>7 Eigenvalue Problems: Waveguides and Cavities 211</b></p> <p>7.1 Scalar Formulations for Closed Waveguides 212</p> <p>7.2 Vector Formulations for Closed Waveguides 225</p> <p>7.3 Open Waveguides 235</p> <p>7.4 Three-Dimensional Cavities 238</p> <p>7.5 Summary 239</p> <p><b>8 Vector Finite Elements 243</b></p> <p>8.1 Two-Dimensional Edge Elements 244</p> <p>8.2 Waveguide Problem Revisited 256</p> <p>8.3 Three-Dimensional Edge Elements 259</p> <p>8.4 Cavity Problem Revisited 270</p> <p>8.5 Waveguide Discontinuities 274</p> <p>8.6 Higher-Order Interpolatory Vector Elements 278</p> <p>8.7 Higher-Order Hierarchical Vector Elements 293</p> <p>8.8 Computational Issues 305</p> <p>8.9 Summary 309</p> <p><b>9 Absorbing Boundary Conditions 315</b></p> <p>9.1 Two-Dimensional Absorbing Boundary Conditions 316</p> <p>9.2 Three-Dimensional Absorbing Boundary Conditions 323</p> <p>9.3 Scattering Analysis Using Absorbing Boundary Conditons 328</p> <p>9.4 Adaptive Absorbing Boundary Conditons 339</p> <p>9.5 Fictitious Absorbers 348</p> <p>9.6 Perfectly Matched Layers 350</p> <p>9.7 Application of PML to Body-of-Revolutions Problems 368</p> <p>9.8 Summary 371</p> <p><b>10 Finite Element-Boundary Integral Methods 379</b></p> <p>10.1 Scattering by Two-Dimensional Cavity-Backed Apertures 381</p> <p>10.2 Scattering by Two-Dimensional Cylindrical Structures 399</p> <p>10.3 Scattering by Three-Dimensional Cavity-Backed Apertures 411</p> <p>10.4 Radiation by Microstrip Patch Antennas in a Cavity 425</p> <p>10.5 Scattering by General Three-Dimensional Bodies 430</p> <p>10.6 Solution of the Finite Element-Boundary Integral System 436</p> <p>10.7 Symmetric Finite Element-Boundary Integral Formulations 447</p> <p>10.8 Summary 462</p> <p><b>11 Finite Element-Eigenfunction Expansion Methods 469</b></p> <p>11.1 Waveguide Port Boundary Conditions 470</p> <p>11.2 Open-Region Scattering 487</p> <p>11.3 Coupled Basis Functions: The Unimoment Method 494</p> <p>11.4 Finite Element-Extended Boundary Condition Method 502</p> <p>11.5 Summary 509</p> <p><b>12 Finite Element Analysis in the Time Domain 513</b></p> <p>12.1 Finite Element Formulation and Temporal Excitation 514</p> <p>12.2 Time-Domain Discretization 518</p> <p>12.3 Stability Analysis 523</p> <p>12.4 Modeling of Dispersive Media 529</p> <p>12.5 Truncation via Absorbing Boundary Conditions 538</p> <p>12.6 Truncation via Perfectly Matched Layers 541</p> <p>12.7 Truncation via Boundary Integral Equations 551</p> <p>12.8 Time-Domain Wqaveguide Port Boundary Conditions 562</p> <p>12.9 Hybrid Field-Circuit Analysis 569</p> <p>12.10 Dual-Field Domain Decomposition and Element-Level Methods 587</p> <p>12.11 Discontinuous Galerkin Time-Domain Methods 605</p> <p>12.12 Summary 625</p> <p><b>13 Finite Element Analysis of Periodic Structures 637</b></p> <p>13.1 Finite Element Formulation for a Unit Cell 638</p> <p>13.2 Scattering by One-Dimensional Periodic Structures: Frequency-Domain Analysis 651</p> <p>13.3 Scattering by One-Dimensional Periodic Structures: Time-Domain Analysis 656</p> <p>13.4 Scattering by Two-Dimensional Periodic Structures: Frequency-Domain Analysis 663</p> <p>13.5 Scattering by Two-Dimensonal Periodic Structures: Time-Domain Analysis 670</p> <p>13.6 Analysis of Angular Periodic Strctures 678</p> <p>13.7 Summary 682</p> <p><b>14 Domain Decompsition for Large-Scale Analysis 687</b></p> <p>14.1 Schwarz Methods 688</p> <p>14.2 Schur Complement Methods 693</p> <p>14.3 FETI-DP Method for Low-Frequency Problems 705</p> <p>14.4 FETI-DP Method for High-Frequency Problems 728</p> <p>14.5 Noncomformal FETI-DP Method Based on Cement Elements 743</p> <p>14.6 Application of Second-Order Transmission Conditions 753</p> <p>14.7 Summary 760</p> <p><b>15 Solution of Finite Element Equations 767</b></p> <p>15.1 Decomposition Methods 769</p> <p>15.2 Conjugate Gradient Methods 778</p> <p>15.3 Solution of Eigenvalue Problems 791</p> <p>15.4 Fast Frequency-Sweep Computation 797</p> <p>15.5 Summary 803</p> <p>Appendix A: Basic Vector Identities and Integral Theorems 809</p> <p>Appendix B: The Ritz Procedure for Complex-Valued Problems 813</p> <p>Appendix C: Green's Functions 817</p> <p>Appendix D: Singular Integral Evaluation 825</p> <p>Appendix E: Some Special Functions 829</p> <p>Index 837</p>
<p><b>JIAN-MING JIN, PhD,</b> is Y. T. Lo Chair Professor in Electrical and Computer Engineering and Director of the Electromagnetics Laboratory and Center for Computational Electromagnetics at the University of Illinois at Urbana-Champaign. He authored <i>Theory and Computation of Electromagnetic Fields</i> (Wiley) and <i>Electromagnetic Analysis and Design in Magnetic Resonance Imaging,</i> and coauthored <i>Computation of Special Functions</i> (Wiley) and <i>Finite Element Analysis of Antennas and Arrays</i> (Wiley). A Fellow of the IEEE, he is listed by ISI among the world’s most cited authors.</p>
<p><b>A new edition of the leading textbook on the finite element method, incorporating major advancements and further applications in the field of electromagnetics</b></p> <p>The finite element method (FEM) is a powerful simulation technique used to solve boundary-value problems in a variety of engineering circumstances. It has been widely used for analysis of electromagnetic fields in antennas, radar scattering, RF and microwave engineering, high-speed/high-frequency circuits, wireless communication, electromagnetic compatibility, photonics, remote sensing, biomedical engineering, and space exploration.</p> <p><i>The Finite Element Method in Electromagnetics, Third Edition</i> explains the method’s processes and techniques in careful, meticulous prose and covers not only essential finite element method theory, but also its latest developments and applications—giving engineers a methodical way to quickly master this very powerful numerical technique for solving practical, often complicated, electromagnetic problems.</p> <p>Featuring over thirty percent new material, the third edition of this essential and comprehensive text now includes:</p> <ul> <li>A wider range of applications, including antennas, phased arrays, electric machines, high-frequency circuits, and crystal photonics</li> <li>The finite element analysis of wave propagation, scattering, and radiation in periodic structures</li> <li>The time-domain finite element method for analysis of wideband antennas and transient electromagnetic phenomena</li> <li>Novel domain decomposition techniques for parallel computation and efficient simulation of large-scale problems, such as phased-array antennas and photonic crystals</li> </ul> <p>Along with a great many examples, <i>The Finite Element Method in Electromagnetics</i> is an ideal book for engineering students as well as for professionals in the field.</p>

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