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Volakis J.L., Chatterjee A., Kempel L.C. Ч Finite element method for elecromagnetics
Volakis J.L., Chatterjee A., Kempel L.C. Ч Finite element method for elecromagnetics

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Ќазвание: Finite element method for elecromagnetics

јвторы: Volakis J.L., Chatterjee A., Kempel L.C.

јннотаци€:

The original goal of writing the book was to serve as a text for beginning graduate students Interested in the application of the finite element method and its hybrid versions to electromagnetics. However, the authors also recognized a need to report (in a coherent manner) the many recent advances in applying the method!*) to traditional and new problems in electromagnetics. The result is a book that can serve both beginning students and more advanced practitioners, The first half of the book has already beeї used in the classroom as part of a course on numerical electromagnetics at the University of Michigan. The second half of the book covers primarily work on three-dimensional CD) developments and applications which have primarily appeared in the literature over the past 5 years.


язык: en

–убрика: ‘изика/Ёлектромагнетизм/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

√од издани€: 1998

 оличество страниц: 344

ƒобавлена в каталог: 08.10.2005

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
$C^0$ continuity      38
$C^1$ elements      163
$H^0$ (curl)      53 166
$H^1$ (curl)      53
Absorbers, active      198
Absorbers, anisotropic      199
Absorbers, artificial      130 194
Absorbers, Perfectly Matched Layers (PML)      131 194Ч201
Absorbing boundary conditions      121
Absorbing boundary conditions, circular boundary      121
Absorbing boundary conditions, conformal      186 192
Absorbing boundary conditions, cylindrical      212
Absorbing boundary conditions, FEM formulation      123 184Ч193 201Ч204
Absorbing boundary conditions, first-order      186
Absorbing boundary conditions, planar      192Ч193 206 211 216
Absorbing boundary conditions, rectangular boundary      122
Absorbing boundary conditions, rectangular-cylindrical      213
Absorbing boundary conditions, scattering examples, circular cylinder      128
Absorbing boundary conditions, scattering examples, groove, in ground plane      132
Absorbing boundary conditions, scattering examples, rectangular cylinder-coated      145
Absorbing boundary conditions, scattering examples, triangular cylinder      129
Absorbing boundary conditions, second-order      188 192
Absorbing boundary conditions, spherical      206 209
Absorbing boundary conditions, survey      183
Absorbing boundary conditions, symmetric      189
Absorbing boundary conditions, unsymmetric      186
Adaptive integral method      277
Aggregation      see УFast Multipole MethodФ
Anisotropic      5 27 228 268
Antennas      see УRadiationФ
Applications, capacitor      69
Applications, cavity, cylindrical      180
Applications, cavity, rectangular      172
Applications, cavity, resonators      171
Applications, cavity, ridged      172
Applications, circuit transition, coax-to-microstrip      174
Applications, circuit transition, CPW-to-microstrip      173
Applications, coated conductor reflection      70 85Ч89
Applications, groove geometry      279
Applications, groove scattering      132Ч134 296
Applications, parallel plates      69 83
Applications, radiation, array reflection coefficient      263
Applications, radiation, cavity-backed patch      218
Applications, radiation, cylindrical via      220
Applications, radiation, patch antenna      216 255 260Ч261
Applications, radiation, patch on ogive      219
Applications, scattering, three-dimensional, composite cube      207
Applications, scattering, three-dimensional, conesphere      217
Applications, scattering, three-dimensional, cylindrical inlet      210Ч212
Applications, scattering, three-dimensional, metallic cube      205
Applications, scattering, three-dimensional, plate      213
Applications, scattering, three-dimensional, RCS of ogival cylinder      236
Applications, scattering, three-dimensional, RCS of patch antenna      252
Applications, scattering, three-dimensional, rectangular inlet      210
Applications, scattering, two-dimensional      120Ч127
Applications, scattering, two-dimensional, circular cylinder      128
Applications, scattering, two-dimensional, groove, in ground plane      132 134 296
Applications, scattering, two-dimensional, rectangular cylinder-coated      145
Applications, scattering, two-dimensional, triangular cylinder      129
Applications, transmission coefficient      257
Applications, waveguide eigenvalues, circular      112
Applications, waveguide eigenvalues, rectangular      108Ч111
Applications, waveguide eigenvalues, TE modes      111
Applications, waveguide eigenvalues, TM modes      114
Applications, waveguide propagation, homogeneous      97 111Ч118
Applications, waveguide propagation, inhomogeneous      98
Area coordinates      43
Array reflection coefficient      263
Artificial absorbers      130Ч132 194Ч201
Assembly, one-dimensional      76
Assembly, sample matlab code      150
Assembly, two-dimensional      105 108 110 115
Bayliss-Turkel, ABCs      121
Berenger PML      194
Bessel function      282
BICGSTAB      310
Biconjugate Gradient(BiCG)      245 248 318 328
Biconjugate gradient, unsymmetric      309
Bistatic echowidth      146
Boundary conditions, conductive      20
Boundary conditions, Dirichlet      8 15 80Ч81 114
Boundary conditions, impedance      17 20Ч23 82Ч83 160
Boundary conditions, natural      1 17Ч20
Boundary conditions, Neumann      8 16 80Ч81 104 130 259
Boundary conditions, resistive sheet      160
Boundary conditions, Rytov      19
Boundary conditions, sheet transition      23Ч25 160
Boundary integral mesh truncation      134 227 247 270 279Ч280
Boundary integral mesh truncation, Kirchhoff integral equation      134Ч136
Boundary integral mesh truncation, matrix      137 248
Boundary integral mesh truncation, self cell      136 230
Bricks      45 167Ч168 268Ч270
Capacitance of transmission line      94
Capacitor      69
Cavity, cylindrical      180
Cavity, rectangular      172
Cavity, resonators      171
Cavity, ridged      172
Cavity-backed aperture      245 257 266
Characteristic impedance, transmission line      95
Characteristic impedance, waveguide      98
cholesky      299 303Ч304 326
Circuit excitations      170 229 238Ч243
Circuit transition, coax-to-microstrip      174
Circuit transition, CPW-to-microstrip      173
Circular cylinder scattering      128 135
Circular cylinder, array radiation      257
Coaled conductor reflection      70 85Ч89
Coaled cylinder, scattering      145
Collocation (point matching)      28
Combined field integral      231
Condensation of boundary conditions      116
Condition number (matrix)      30
Conductivity      3 194
Conjugate Gradient (CG)      308
Conjugate Gradient Squared (CGS)      308
Conjugate Gradient-FFT (CG-FFT)      249 251
Constitutive relations      2
Continuity, equation      3
Continuity, field continuity      232
Continuity, interelement continuity      165
Coordinate stretching      199
Coupling equation      233 243
Curl operator      163Ч164
Curvature      185
Curvilinear element      61
Cylindrical boundary ABCs      193
Dirichlet boundary condilions      see УBoundary conditionsФ
Disaggregation      see УFast Multipole MethodФ
Divergence theorem      11 101 159 271
Duality      11 13
Dupin coordinate system      184
Echowidth      124 146Ч149
Edge basis/elements      see also УElementsФ
Edge basis/elements, definition      138
Edge basis/elements, expansion      138
Edge basis/elements, hierarchical      62
Edge basis/elements, matrix elements      143
Edge basis/elements, three dimensions      54 56 59 163 166Ч167 176 258 268
Edge basis/elements, two dimensions      48 51 54 137
Edge basis/elements, vector plots, two-dimensional      51Ч52 140Ч141
Eigenvalue problem      111 117 144 315 320
Eigenvalue problem, degeneracy      172
Eigenvalue problem, generalized eigenvalue problem      165 325
Eigenvalue problem, power method      322Ч323
Eigenvalue problem, Rayleigh matrix      324 325
Eigenvalue problem, standard eigenvalue problem      321 325
Eigenvalue problem, subspace iteration      324
Electric conductivity      194
Electric field integral, three-dimensional      10Ч12 231 240
Electric field integral, two-dimensional      14 125 127 146
Electrostatics      6
Element matrix, brick, anisotropic      268Ч272
Element matrix, brick, isotropic      167Ч168
Element matrix, linear      75
Element matrix, quadrilateral      149
Element matrix, triangular element, edge-based      143
Element matrix, triangular element, node-based      104Ч105
Element matrix, triangular prism      176Ч178
Elements, $H^0$ (curl)      53 166
Elements, $H^1$ (curl)      53
Elements, curvilinear      61
Elements, hexahedral      54
Elements, hierarchical      54Ч56
Elements, isoparametric      41
Elements, linear      39 73
Elements, prism/pentahedral      48 59 176Ч178 247
Elements, quadrilateral      40 50 149
Elements, rectangular/brick      40 49 167Ч168 238 243 247 252 256 268Ч270
Elements, shell      257Ч259
Elements, tetrahedral      46 51 56Ч59 166 242 247
Elements, triangular      42 51 104 143 272
Equivalence principle      132
Equivalence surface      9 230
error control      304
expansion      see УElement matrixФ УElementsФ УGalerkin's УPiecewise УShape
Face basis      57
Far zone      12
Far zone field evaluation      126Ч127 146
Fast far field algorithm      see УFast Multipole MethodФ
Fast Fourier transform (FFT)      247 249 260 267
Fast integral methods      see УAdaptive integral methodФ УFast
Fast Multipole Method (FMM), aggregation      282 285 287 292
Fast Multipole Method (FMM), aggregation, pseudo code      288 290Ч291
Fast Multipole Method (FMM), disaggregation      283 286Ч287
Fast Multipole Method (FMM), disaggregation, pseudo code      288 290Ч292
Fast Multipole Method (FMM), exact FMM, algorithm      280 282
Fast Multipole Method (FMM), exact FMM, operation count      283 294Ч295
Fast Multipole Method (FMM), exact FMM, pseudo code      288 291
Fast Multipole Method (FMM), Fast Far Field Algorithm (FAFFA), algorithm      285
Fast Multipole Method (FMM), Fast Far Field Algorithm (FAFFA), operation count      286 294Ч295
Fast Multipole Method (FMM), Fast Far Field Algorithm (FAFFA), pseudo code      290 293
Fast Multipole Method (FMM), logic flow      287
Fast Multipole Method (FMM), matrix-vector product procedure      282
Fast Multipole Method (FMM), matrix-vector product procedure, pseudo code      293
Fast Multipole Method (FMM), multilevel FMM      283
Fast Multipole Method (FMM), operation count      283Ч284 286 294Ч295
Fast Multipole Method (FMM), RMS error      294 296
Fast Multipole Method (FMM), translation      282 286Ч287
Fast Multipole Method (FMM), translation, pseudo code      288 292
Fast Multipole Method (FMM), windowed FMM, algorithm      283
Fast Multipole Method (FMM), windowed FMM, operation count      284 289 294Ч295
Fast Multipole Method (FMM), windowed FMM, pseudo code      289 292
Feed      see also УCircuit excitationsФ
Feeds, aperture      229 242
Feeds, coaxial cable      241
Feeds, filamentary current (probe)      229 239
Feeds, interchip feed-through      174
Feeds, microstrip      242
Feeds, modal excitations      169
Feeds, mode-matched      169 243
Feeds, plane wave      238
Feeds, voltage gap      240
Finite clement-artificial absorber      130 194Ч201
Finite element method, one-dimensional, assembly      76
Finite element method, one-dimensional, boundary condition implementation      79 83
Finite element method, one-dimensional, boundary constraints      78
Finite element method, one-dimensional, elemental matrix      75
Finite element method, one-dimensional, Galerkin's method      72
Finite element method, one-dimensional, history      65
Finite element method, one-dimensional, memory      66
Finite element method, one-dimensional, mesh examples      67Ч68
Finite element method, one-dimensional, node numbering      74
Finite element method, one-dimensional, procedure/steps      68 72
Finite element method, one-dimensional, pseudo code      79 89
Finite element method, one-dimensional, stiffness matrix      78
Finite element method, one-dimensional, weak form      72
Finite element method, one-dimensional, weighted residual method      71 75
Finite element-ABC      121 184Ч193 201Ч204
Finite Element-Boundary Integral (FE-BI) method      227 246 252 256
Finite element-potential formulation      162
Formulation, electric      34
Formulation, magnetic      35
Formulation, potential      35 162
Formulation, scattered field      202Ч204
Formulation, secondary (scattered)      35
Formulation, total field      34 201
Functional      159
Galerkin's method      28 32 71 74Ч75 229Ч234
Gaussian curvature      187
Gaussian elimination      299 (see also УLU decompositionФ)
Generalized minimal residual (GMRES)      311 314
Generalized Minimal Residual (GMRES), flexible      320
Global numbering      168
Green's function, dyadic      10 12Ч13 232 246 251 259 270
Green's function, three-dimensional, static      7
Green's function, two-dimensional, dynamic      14 125 281
Green's function, two-dimensional, static      7
Green's theorem      8 125 229
Groove scattering      132 296
Ground plane      133 230 239 245
Hankel function      125
Hankel function, addition theorem      281
Hankel function, far field approximation      284
Helmholtz equation      6 25 98
Hexahedral element      54Ч56
Hierarchical element      56
Impedance boundary conditions      17 20Ч22 82Ч83 160
Impedance boundary conditions, natural      1
Impedance boundary conditions, radiation      5
Impedance boundary conditions, resistive      19
Impedance, free space      5 14
Impedance, input      261
Impedance, plane wave      197
Inner product      24
Interchip feed-through      174
Interelement continuity      165
Isoparametric element      41
Isotropic medium      2 228 269
Iterative algorithms      see also УAdaptive integral methodФ УFast
Iterative algorithms, BICGSTAB      310
Iterative algorithms, Biconjugate Gradient (BiCG)      245 248 318 328
Iterative algorithms, biconjugate gradient, unsymmetric      309
Iterative algorithms, Conjugate Gradient (CG)      308
Iterative algorithms, Conjugate Gradient Squared (CGS)      307
Iterative algorithms, Conjugate gradient-FFT (CG-FFT)      249Ч251
Iterative algorithms, convergence      312 314
Iterative algorithms, Generalized Minimal Residual (GMRES)      311 314
Iterative algorithms, GMRES, flexible      320
Iterative algorithms, Quasi-Minimal Residual (QMR)      310
Jacobian      42 46
k-space method      278
Kirchhoff integral equation      134Ч136
Krylov space      311 314 325
Lagrange polynomials      39
Lanczos algorithm      325Ч326
Laplace's equation      94
Least squares method      32Ч33
Linear      75
Loss tangent      4
LU decomposition      303 316Ч317
LU decomposition, Cholesky      303Ч304 326
LU decomposition, Incomplete LU (ILU)      300 315
Magnetic conductivity      194
Magnetic field integral, three-dimensional      10Ч12 230
Magnetic field integral, two-dimensional      14 134 279Ч280
Magnetostatic      9
Material constants      3
Matrix      see also УElement matrixФ
Matrix, bandwidth      306Ч307
1 2
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