The Finite Element Method in ELECTROMAGNETICS: The Finite Element Method in ELECTROMAGNETICS.part07.rar

Preface to the First Editiorz
Acknowledgments
I Rctsic Electron~agneticT heory
I . I Brief Review r,f Vector A~~ulysis
1.2 Maxwell'sEquutions
1.2.1 The Generul Integrcil Fi)rrtr
1.2.2 The Generul Difirerltial firrtr
1.2.3 Elecvm- errld Mct~tr~fostctrIi.ic'c~~ lt1.s
1.2.4 Time- Hurrnonic. Fieltls
1.2.5 ConsfifufiveK e1ittio1r.s
1.3 Scalar and Vector Potenticils
1.3. I S[.crlrrr Pofenfite1ji)rE- lec~~r-o.srtrF/iicc~)l tl
1.3.2 Vcc-torP otontiirl for Mte,q~rrfostccticF' ield
1.4 W~wEcq uution.s
1.4.1 Vector Wave Equcctior1.v
1.4.2 Scalar Wuve Eq~intions
1.5 Boirt~tlcrry Coriditiotrs
xix
xxiii
~i CONTENTS
1.5. 1 At the hzterjirc.e between Two Mediu
1.5.2 At t r Perfec.fly Conducting Surjiace
1.5.3 At an Imperfectly Conducting Surface
1.5.4 Across a Resistive and Conductive Sheel
1.6 Radiation Conditions
1.7 Fields in un Injnire Homogeneous Medium
I . X Huyget~s'P.~ri ncil)lc
I . Y Kudur Cross Sections
1.10 Sunztnary
References
2 Introduction to the Finite Element Method
2.1 Clussictrl Methods.for Boundary-Value Problems
2.1.1 Boundury- Vulue Problems
2.1.2 The Ritz Method
2.1.3 Gulerkin 's Method
2.2 A Simple Example
2.2.1 Description ($the Problem
2.2.2 Solution via the Ritz Method
2.2.3 Solution via Galerkin's Method
2.2.4 Solution Using Subdomain Expansion
Functions: The Finite Element Method
2.3 Basic Steps of the Finite Element Method
2.3.1 Domain Discretization
2.3.2 Sc.lec.tion oJ'lnrerpolution Functions
2.3.3 fi)rnlulation ($the System of Equutions
2.3.4 Solution of rhe System of Equations
2.4 An Alternutive Presetztation of the Finite Element
fi)rtnulution
2.5 Summary
References
3 One-Dimensional Finite Element Analysis
.?.I Tlro Borrat1trt:v-Vtrlrrc~P rohl~m
3.2 'Ihe Vuriutionul Formulution
3.3 Finite Element Anal.vsis
3.3.1 Di.scrrfizafion und Interpolation
3.3.2 Formulation via the Ritz Method
3.3.3 Formulation via Galerkin's Method
CONTENTS
3.3.4 Solution ofthe System r.fEqucitions
3.4 Plune- Wuve ReJectioti by a Metal-lltrc.ked Dielec.tric
Slab
3.4.1 Problem Description
3.4.2 The Analytical Solution
3.4.3 Finite Element Solution
3.4.4 Nitmericcil Results
3.5 Scattering by a Smooth, Convex Itnpedunce Cylinder
3.5.1 Formulation of the OSRC Method
3.5.2 Finite Element Solution
3.6 Higher-Order Elements
3.6.1 Quadratic Elements
3.6.2 Cubic Elements
3.6.3 Accurucy versus Element Order
3.6.4 Numerical Examples
3.7 Summary
References
4 Two-Dimensional Finite Element Analysis
4.1 The Boundary- Vulue Problem
4.2 The Variational Formulation
4.3 Finite Element Analysis
4.3.1 Dotnain Discretization
4.3.2 Elementul Interpolrrion
4.3.3 Forr~rulcitiotr vio the Kitz Methocl
4.3.4 Formulation viu Gulerkin '.s Method
4.3.5 A Sample Computer Program
4.3.6 Solution of the Svstenl of Equutiows
4.4 Applicution to Elcc.t,n,static' Problc~~ns
4.4.1 Two-Dimen.sionu1 Case
4.4.2 Axisymmetric Case
4.5 Application to Magnetostutic Problems
4.5.1 Two- Dimensionnl Ccr.ve
J..5.2 A,\ is;vrtrrrrc~tri(c'c~r sc*
4.6 Appliccition to Time-Harnronic Problems
4.6.1 Discontinltitv it1 ci I-'trrrrllel-Pl(rtcW (ivc:~rritkl
4.6.2 Scattering ~trer1~v.si.sU sing Ahsorbing
Boundary Conditions
4.6.3 Fields in 1nhomogc~r~eouM.se dia
viii CONTENTS
4.7 Higher-Order Elements
4.7.1 Quadratic Triangular Elements
4.7.2 Construction of Interpolation Functions
4.7.3 Numerical Integration
4.7.4 Accuracy versus Element Order
4.7.5 Numerical Examples
4.8 Isoparametric Elements
4.8.1 Triangular Elements
4.8.2 Quadrilateral Elements
4.9 Summury
References
5 Three-Dimensional Finite Element Analysis
5.1 The Boundary- Value Problem
5.2 The Vuriational Formulation
5.3 Finite Element Analysis
5.3.1 Domain Discretization
5.3.2 Elemental Interpolation
5.3.3 fi)rtnulation via the Ritz Method
5.3.4 Formulation via Galerkin f Method
5.4 Hixher-Order Elements
5.5 I.\ol)crrwtrc~/,iEc.l ct~rcnts
5.6 Application to Electrostatic Problems
5.7 Application to Mugnetostatic Problems
5.7.1 Problem Description - -
5.7.2 The Variational Formulation
5.7.3 Finite Element Analysis
5.7.4 On the Uniqueness of Solutions
5.8 Application to Time-Harmonic Field Problems
5.8.1 Problem Description
5.8.2 The Variational Formulation
3.8.3 Treatment of Boundary and Integace
Conditions
5.8.4 The Problem of Spurious Solutions
5.8.5 The Problem of Field Singularities
5.9 S~trrimury
References
6 Variational Principles for Electromagnetics
CONTENTS ix
6.1 Standard Vuriational Principle
6.2 Modified Variational Principle
6.3 Generalized Variational Principle
6.4 Variational Principle for Anisotropic Medium
65 Concluding Remarks
References
7 Eigenvulue Problems: Wcrveguide.~a nd Cavities
7.1 Scalar Formulation.s,for Closed Waveguides
7.1. I f lorrrogc11cou.v Wtr vc~guitlc.~
7.1.2 I~zhornogeneous Wuveguic1r.s
7.1.3 Anisotropic Waveguides
7.1.4 An Approximate Solution
7.2 Vector Formu1atiott.s Jiw Closed Wrr~e~q~tities
7.2.1 Formulation in Terms of'Three Compot1ent.s
7.2.2 Formulation in Tert~uc f l Trrwsverse
Components
7.2.3 Comments on Vector Formu1ution.s
7.3 Open Wcrvc>guide.s
7.4 Three-l1inrensionLII Ctrvities
7.5 Scrrnmtrr:~
Kqli.rc,rrc.c*.s
8 &(.ror Finirc E1r~rnenf.s
8. I Two-Din~cn.siona1E dge E1enzenr.s
8. I . I Rectangular Elements
8.1.2 Tritrrtgular Elements
8.1.3 Quadrilaterul Elernents
8.1.4 Evuluation (,f Elemental Mcitrices
8.1.5 Dispersion Ana1~~si.s
8.2 Waveguide Problem Revisited
8.3 Three-Dimensional Edge Elernents
8.3. I Brick Elemrr~ts
8.3.2 Tetrcrkedrtrl E1ernenr.s
8.3.3 Hexuhedrul Elernents
8.3.4 Evtrluution of EI~~mentcMrlu tricc.s
8.4 Ctrvity Pro01ern Ke~isired
8.5 Waveguide Discotttinuitie.~
8.6 Higher-Order Vector Elements
x CONTENTS
8.6.1 Two-Dimensional Elements
8.6.2 Three-Dimensional Elements
8.7 Computational Issues
8.8 Summary
References
0 Ahsorhirrg Boutrclury Cotrdition.~
9.1 Two- Dimensional Absorbing Boundary Conditions
9.1. I For Planar Boundaries
9.1.2 f i r Curved Boundaries
9.2 Three-Dimensional Absorbing Boundary Conditions
9.3 Scattering Computation Using Absorbing Boundary
Conditions
9.4 Adaptive Absorbing Boundary Conditions
9.4.1 Two-Dimensioncll Formulation
9.4.2 Three-1)imen.sional Formulation
9.4.3 An Improved Implementation
9.5 FictitiousAbsorbers
9.6 Pe$ectlv Matched Lnyers
9.6. I berivution Based on Coordinute Stretching
9.6.2 Interpretation us Anisotropic Absorber
9.6.3 Finite Element Formulation
9.6.4 PML Optimization
9.6.5 PML Combined with ABC
9.6.6 Complementary PML
9.7 Application of PML to Body-of-Revolution Problems
9.7.1 Finite Element Formulation
9.7.2 Nr~mericalE .xamples
9.8 .Su~t~tn(rrv
Kc</i~rc.trc.es
10 Finite Element-Boundary Integral Methods 407
10.1 Scattering by Two- Dimensional Cavity-Backed
Apertures 409
10.1. I Formulution ji)r EZ-Polarization 410
10.1.2 Formulation for Hz-Polarization 417
10.1.3 Numeric~llE xtrmples 422
10.2 Sc.lrttc~rinh~y Two-l~intc~nsionCuly lindrical Slr~~cturc4.,2~8
10.2.1 Boundary Integral Formulation 430
CONTENTS X
10.2.2 Finite Element Formulation
10.2.3 Numerical Examples
10.2.4 Elimination of Interior Resonances
10.3 Scattering by Three-Dimensional Cavity-Backed
Apertures
10.3.1 Boundary Integral Formulution
10..1.2 Firri/c~I: 'lc~tnrrr1/ 4~r11rrrltrfion
10.3.3 Numerical Results
10.4 Radiation by Microstrip Patch An lenrzus in a Cuvity
10.4.1 Problctn Fonnulution
10.4.2 Modeling oj'Atztentzu Feeds ~ m dLo uds
10.4.3 Numerical Results
10.5 Scattering by Genercrl Three-Dinzc)tr.siot~tiBI odies
10.5. I i3oundh-y Integr(11 Formultrtioti
10.5.2 Finite Element I;)rt?rrrltrtiotr
10.5.3 Numeric~ul Resuits
10.6 Solution of the Finite Element-Boundcrrv lntegrcrl
System
10.7 Summary
Kcj2rence.s
I I Finite Elements and Eigenfurrction Expunsion 48 7
11. I Disc0ntinuitie.r in Waveguides 488
I I . 1. I Discontinuity in a Parallel-Plate Waveguide 488
11.1.2 Discontinuity in a Rectangular Waveguide 494
11.2 Open-Region Scattering 50 I
11.2.1 Two-Dimensional Scattering 50 I
11.2.2 Three-Dimensional Sc-atrering 505
11.3 C'ouplctl Rrrsis Futic~/iorr.v7: 'lrc1U rri~rrorrrc~rMr/ c~flrocl 509
I 1.3.1 Two-l)irnc~n,siotttF~ol rrttultr/ion 5 I 0
11.3.2 Threc~-Ditrlc~tr.sioF~r~)rtr~nIrr ltrtiott 516
11.4 Finite Element-Extended Boundtlry Condition Mrtltod 51 Y
11.4.1 Two-Dimensional Formulation 519
11.4.2 Three-Dimensioncrl Formultition 523
11.5 Summary 525
References 526
12 Finitc~1 :'lrnrc~nAt rrtr!\'sis it1 rlrcj 'li'rrrc~1 )orrrrrirr
12.1 Finite Element Fortnultrtion
xii CONTENTS
12.2 Time-Dotnain Discretization
12.2.1 fi~rwtrrcl Ili/fircnce
12.2.2 Suckward Dujkrence
12.2.3 Central Diflerence .
12.2.4 The Newmark Method
12.2.5 Remarks
12.3 Stability Ancrlvsis
12.3. I ~ e t h f j~do fAnr.rly.~i.s
12.3.2 Effect c g h s s
12.3.3 Numerical Exumples
12.4 Orthogonal Basis Futzctions
12.4.1 Tbvo-Dinzerzsiorzal Case
12.4.2 Three-Dimensional Case
12.4.3 Numerical E.utrmples
12.5 Modeling of Dispersive Media
12.5.1 Forrnrrlrtion
12.5.2 Numerical Exumples
12.6 Truncation via Absorbing Boundary Conditions
12.6. I Radiation Atzalysis
12.6.2 Sc~~tterinAgn ulysis
12.6.3 Far-Field Computation
12.7 Truncation via Perfectly Matched Layers
12.7.1 Formulation in Two Dimensions
12.7.2 Stability Analysis
12.7.3 Numerical Exumples
12.7.4 Extension to Three Dimensions
12.8 Truncation via Boun~lrryIn tegral Equations
12.8. I Fortnulotion
12.8.2 Nu1t~ericcrlfijtrv~ip1e.s
12.9 Summary
References
I.? Solrrtion r!f finite Element Equations
13. I Decompo.sition Methods
13.1. I I,II Decotnpo,sition
1 . 1 .2 I , ! )I, "' I)c~c.ornl,o.sition
13.1.3 The Frontul and Multijirontal Methods
13.2 Conjugate Gradient Methods
CONTENTS xiii
13.2.1 Derivution o$ the Con.ju~ctGt~r udicwf Method
1.t.2.2 E.rteri.vion to tho Bic.onjrrg(rtc~C ;rrrrlicnt Mt~tliorl
l.j.2.3 I'recondi~ionirr~7i 'c'lrrriclrrc,.\
13.2.4 Other Iterative Methods
13.2.5 Matrix- Vector Product Computation
13.3 Solution of Eigenvalue Problems
13.3.1 Stcrrr~lrrdE igenvcrlrte Problenr.~
13.3.2 Gmertrlized Eigenvcrlue Prnh/etn.s
13.4 fir.vt Frequency-Sweel, Cornputtition
13.4.1 Formukc~tion
1.3.4.2 Numerical Exun~p1e.s
13.5 S~rrnmuty
Kc<fereric.e.s
14 Tlzo Mothod r?fMomc~ntasn d Fust Solvcrs
14.1 Iltrsic Principle
14.2 Ititegrul Equations
14.2.1 Two-Dirnen.sionu1 Fornzulrtion
14.2.2 Three-Dimensional Forrnulcrtion
14.3 Basis and Testing Functions
14.3.1 Basis Functions
14.3.2 Testing Functions
14.4 Al~plicution Examples
14.4.1 Eiectrostatic Problems
14.4.2 Wire Scatterers
14.4.3 Sc~rttering Dielec~ricC y1iticler.s
14.4.4 Sccltterirzg by Conducting Sodies
14.5 lrztrocl~rctionto Fcist Solvers
I . 7 'lr(, I~'l~'7~l~tMr.cvtlcr~ot~l l
14.6.1 One- Dimensional Forr~zul~rtioiz
14.6.2 Two-Dimensional Formulutiort
14.6.3 Three-Dimensional Formukution
14.7 The A(1rrptive Inte,qrtrl Method
14.7.1 I'larrnr Slruc.tu,r.s
14.7.2 Three- Dimen.sioncil Conduc-t ing Roclies
1J.S 7710 firs/ Mrrltil)olc~M t~tltocl
14.0 ,Srcmmurv
Referent -es
X ~ V CONTENTS
Appendix A Vector Identities and Integral Theorems
A. I Vector Identities
A.2 Integral Theorems
A.3 Integral Theorems on a Surface
A.4 Dyadic Integral Theorems
References
Appendix B The Ritz Procedure for Complex-Vulued Problems
Appendix C Green's Functions
C. I Scalur Green's Functions
C. I. 1 The Delta Function
C. 1.2 Free-Space Green S Functions
C. 1.3 Eigenfunction Expansion
C.2 Dyadic Green S Functions
C.2.1 Dejinition of a Dyad
C.2.2 Free-Space Dyadic Green S Functions
References
Appendix 1) Singulur Inregrul Evuluution
References
Appendix E Special Functions
'E. 1 Bessel Functions
E.2 Spherical Bessel Functions
E.3 Associated Legendre Polynomials
E.4 Mathieu Functions
References

感谢楼主分享

感谢楼主分享

什么版本的，是不是以前那个扫盲版的？

强悍！！！

难道是原版，嘿嘿。

比以前那个效果好多了

多谢分享！！！

谢谢分享，有没有办法批量下载？

回复 UWBantenna 的帖子


    好像不行！如果迅雷等软件能解析的话，也许可行，但可能会下不完整

谢谢分享。下载完了。

哇，终于见到原版了……

感谢分享！英文版的好啊……

扫描版的吧？这么大
咋就不能压缩大一点？点击21次也是个苦力活，无论是上传还是下载

thank you !{:7_1234:}

感谢楼主的慷慨分享。

本帖最后由 kerbcurb 于 2011-1-25 14:18 编辑

这里是一本体积小的
Preface
Since the publication of the first edition of this hook about eight years ago. much progress has been made in development of the finite element method for the analysis of electromagnetics problems, especially in five areas. The first is the development of higher-order vector finite elements, which make it possible to obtain highly accurate and efficient solutions of vector wave equations. The second is the development of perfectly matched layers as an absorbing boundary condition. Although the perfectly matched layers were intended primarily for the time-domain finite-difference method, they have also found applications in the finite element simulations. The third is perhaps the development of hybrid techniques that combine the finite element and asymptotic methods for the analysis of large, complex problems that were unsolvable in the past. The fourth is further development of the finite element-boundary integral methods that incorporate fast integral solvers, such as the fast multipole method, to reduce the computational complexity associated with the boundary integral part. The last, but not the least, is the development of the finite element method in the time domain for transient analysis. As a result of all these efforts, the finite element method has gained more popularity in the computational electromagnetics community and has become one of the preeminent simulation techniques for electromagnetics problems.
In this second edition. we have updated the subject matter and introduced new advances in finite element technology. In Chapter I, which presents the basic electromagnetic equations and concepts, we have added a brief review of vector analysis because of its importance in the finite element formulation of electromagnetics problems. We have also added sections on field-source relations, Huygens's principles, and definitions of radar cross section, since they are used frequently in the subsequent chapters.
Chapter 2 introduces the basic concepts of the finite clement method after a brief review of classical methods for boundary-value problems. Minor changes have been made to improve clarity. In the next three chapters we develop the finite element method in one, two, and three dimensions and its application to electromagnetics problems. We have added sections on isoparametric elements that can provide a superior geometrical modeling, in addition to accurate representation of unknown functions to be computed, and sections on dispersion analysis to illustrate the convergence of higher-order finite elements.
In Chapter 6 we discuss various variational principles to establish the variational expression for a given electromagnetic boundary-value problem. We have added one section to present the most general variational principle and illustrate its application to electromagnetics problems involving anisotropic media. This topic is useful since anisotropic media have been used widely in electronic and electro-optical devices.
Chapter 7, which describes the finite element analysis of eigenvalue problems, remains unchanged except for some minor modifications to update the topic.
In Chapter 8 we introduce vector finite elements for the modeling of electromagnetic vector wave equations. Since the first edition of this hook presented only die lowest-order vector elements in two and three dimensions, major revisions have been made to cover the developments of higher-order vector elements with examples to demonstrate their superior performance. The higher-order vector elements are expected to significantly affect application of the finite element method to electromagnetics problems.
Chapter 9 is a new chapter devoted to the important topic of absorbing boundary conditions. This topic was addressed briefly in Appendix C of the first edition. It is now fully expanded to cover two-dimensional scalar and three-dimensional vector absorbing boundary conditions, adaptive absorbing boundary conditions, fictitious absorbers, and perfectly matched layers. The adaptive absorbing boundary condition is a relatively new approach that can systematically improve the accuracy of the solution obtained using an absorbing boundary condition. The concept of perfectly matched layers was proposed only a few years ago; hence, it is an entirely new topic. Efforts have been made to present it to suit finite element applications since it has been used mostly for time-domain finite-difference simulations. A section has been included for the finite element analysis of scattering and radiation by complex body-of-revolution structures using perfectly matched layers.
In Chapter 10 we address the development of a hybrid technique that combines the finite element and boundary integral methods for open-region scattering and radiation problems. Efforts have been made to improve treatment of the interior resonance problem in both two and three dimensions. A section has been added to present a highly effective preconditioner to accelerate the iterative solution of the finite element梑oundary integral method, with numerical examples to demonstrate its great potential. Coupled with fast integral solvers, the hybrid finite element-boundary integral method is promising for dealing with large-scale problems involving complex structures and inhomogeneous materials.
Chapter 11 covers the use of eigenfunction expansions for the finite element anal ysis of open-region problems. New material has been added to present eigenfunction expansions on elliptical boundaries that can significantly reduce the size of the corn putational domain in comparison to circular ones. New examples have been include to demonstrate the capability of the method to simulate microwave devices such a circulators, filters, and junctions.
Chapter 12 is another new chapter, in which we describe development of the finite element method for the time-domain analysis of transient electromagnetics problems. Time-domain simulations are important because of their ability to model nonlinea materials. In this chapter we cover basic time-marching schemes and their stability: analysis. We also discuss the modeling of dispersive media, the formulation o orthogonal vector basis functions; and application of the time-domain finite elemen method to open-region-scattering and radiation problems with the aid of absorbing boundary conditions, perfectly matched layers, and boundary integral equations.
In Chapter 13 we present solution methods and algorithms for linear algebraic equations arising from the finite element discretization which include the banded matrix method, the profile storage method, and the conjugate and biconjugate gradien methods. In this new edition we have added other useful direct and iterative solver and discussed preconditioning techniques to speed up iteration convergence and reordering schemes for the bandwidth reduction. A new section has also been added to describe the asymptotic waveform evaluation method for fast frequency-sweep analysis.
Chapter 14 is also a new chapter and was suggested by a reviewer. It present another very powerful computational method in electromanetics-the method o moments-and its fast solvers. The inclusion of this chapter is justifiable because th method of moments is very closely related to the finite element method, at least i terms of basic principles. Moreover, good understanding of the method of moment can help a great deal in development of the hybrid finite element-boundary integral method presented in Chapter 10. The fast solvers, including the FFT-based methoc adaptive integral method, and fast multipole method, can all be incorporated int the hybrid finite element-boundary integral method to reduce the computational complexity associated with the boundary integral part and thus further expand th capability of the hybrid method.
Appendix A has been slightly expanded to list some formulas and integral theorem for vector analysis on surfaces which are useful for the manipulation of absorbing boundary conditions, boundary integrals, and higher-order vector basis functions o curved surfaces. Appendix B remains unchanged.
The remaining appendices (C-E) are all new. To be specific, Appendix C present a definition and derivation of Green's functions and their applications in electromag netics. We have included this because Green's functions are the basis for boundar integral equations and near-to-far-field calculations. In Appendix D we describe numerical procedure to evaluate singular integrals, which is essential for the metho of moments and the finite element朾oundary integral method. Finally, Appendix lists the definitions and useful properties of some special functions used in this book As a result of the revision, more than one-third of this second edition is new. The hook is still intended as a textbook for use in computational electromagnetics courses at the graduate level and as a research reference for scientists and electrical engineers_ It is detailed enough for self-study as well. We have included some exercises to supplement and reinforce the concepts and ideas presented and to facilitate its use as a textbook. For teaching purposes I have developed a set of PowerPoint viewgraphs about the finite element method and will be happy to make them available to those teaching the method for electromagnetic analysis.
JIANMING JIN
Urbana-Champaign, Illinois

这么多，谢谢

谢谢分享

太感谢了，正需要

多谢q

原版还是扫描版?扫描的效果太差了

非常感谢楼主分享

貌似原版