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| Ïîèñê ïî óêàçàòåëÿì |
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| Volakis J.L., Chatterjee A., Kempel L.C. — Finite element method for elecromagnetics |
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| Ïðåäìåòíûé óêàçàòåëü |
 continuity 38
 elements 163
 (curl) 53 166
 (curl) 53
Absorbers, active 198
Absorbers, anisotropic 199
Absorbers, artificial 130 194
Absorbers, Perfectly Matched Layers (PML) 131 194—201
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 123 184—193 201—204
Absorbing boundary conditions, first-order 186
Absorbing boundary conditions, planar 192—193 206 211 216
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 “Fast Multipole Method”
Anisotropic 5 27 228 268
Antennas see “Radiation”
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 85—89
Applications, groove geometry 279
Applications, groove scattering 132—134 296
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 216 255 260—261
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 210—212
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 120—127
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 108—111
Applications, waveguide eigenvalues, TE modes 111
Applications, waveguide eigenvalues, TM modes 114
Applications, waveguide propagation, homogeneous 97 111—118
Applications, waveguide propagation, inhomogeneous 98
Area coordinates 43
Array reflection coefficient 263
Artificial absorbers 130—132 194—201
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 80—81 114
Boundary conditions, impedance 17 20—23 82—83 160
Boundary conditions, natural 1 17—20
Boundary conditions, Neumann 8 16 80—81 104 130 259
Boundary conditions, resistive sheet 160
Boundary conditions, Rytov 19
Boundary conditions, sheet transition 23—25 160
Boundary integral mesh truncation 134 227 247 270 279—280
Boundary integral mesh truncation, Kirchhoff integral equation 134—136
Boundary integral mesh truncation, matrix 137 248
Boundary integral mesh truncation, self cell 136 230
Bricks 45 167—168 268—270
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 299 303—304 326
Circuit excitations 170 229 238—243
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 85—89
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 163—164
Curvature 185
Curvilinear element 61
Cylindrical boundary ABCs 193
Dirichlet boundary condilions see “Boundary conditions”
Disaggregation see “Fast Multipole Method”
Divergence theorem 11 101 159 271
Duality 11 13
Dupin coordinate system 184
Echowidth 124 146—149
Edge basis/elements see also “Elements”
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 59 163 166—167 176 258 268
Edge basis/elements, two dimensions 48 51 54 137
Edge basis/elements, vector plots, two-dimensional 51—52 140—141
Eigenvalue problem 111 117 144 315 320
Eigenvalue problem, degeneracy 172
Eigenvalue problem, generalized eigenvalue problem 165 325
Eigenvalue problem, power method 322—323
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 10—12 231 240
| Electric field integral, two-dimensional 14 125 127 146
Electrostatics 6
Element matrix, brick, anisotropic 268—272
Element matrix, brick, isotropic 167—168
Element matrix, linear 75
Element matrix, quadrilateral 149
Element matrix, triangular element, edge-based 143
Element matrix, triangular element, node-based 104—105
Element matrix, triangular prism 176—178
Elements, (curl) 53 166
Elements, (curl) 53
Elements, curvilinear 61
Elements, hexahedral 54
Elements, hierarchical 54—56
Elements, isoparametric 41
Elements, linear 39 73
Elements, prism/pentahedral 48 59 176—178 247
Elements, quadrilateral 40 50 149
Elements, rectangular/brick 40 49 167—168 238 243 247 252 256 268—270
Elements, shell 257—259
Elements, tetrahedral 46 51 56—59 166 242 247
Elements, triangular 42 51 104 143 272
Equivalence principle 132
Equivalence surface 9 230
error control 304
expansion see “Element matrix” “Elements” “Galerkin's “Piecewise “Shape
Face basis 57
Far zone 12
Far zone field evaluation 126—127 146
Fast far field algorithm see “Fast Multipole Method”
Fast Fourier transform (FFT) 247 249 260 267
Fast integral methods see “Adaptive integral method” “Fast
Fast Multipole Method (FMM), aggregation 282 285 287 292
Fast Multipole Method (FMM), aggregation, pseudo code 288 290—291
Fast Multipole Method (FMM), disaggregation 283 286—287
Fast Multipole Method (FMM), disaggregation, pseudo code 288 290—292
Fast Multipole Method (FMM), exact FMM, algorithm 280 282
Fast Multipole Method (FMM), exact FMM, operation count 283 294—295
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 286 294—295
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 283—284 286 294—295
Fast Multipole Method (FMM), RMS error 294 296
Fast Multipole Method (FMM), translation 282 286—287
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 284 289 294—295
Fast Multipole Method (FMM), windowed FMM, pseudo code 289 292
Feed see also “Circuit excitations”
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 130 194—201
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 67—68
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 121 184—193 201—204
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 202—204
Formulation, secondary (scattered) 35
Formulation, total field 34 201
Functional 159
Galerkin's method 28 32 71 74—75 229—234
Gaussian curvature 187
Gaussian elimination 299 (see also “LU decomposition”)
Generalized minimal residual (GMRES) 311 314
Generalized Minimal Residual (GMRES), flexible 320
Global numbering 168
Green's function, dyadic 10 12—13 232 246 251 259 270
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 54—56
Hierarchical element 56
Impedance boundary conditions 17 20—22 82—83 160
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 “Adaptive integral method” “Fast
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) 249—251
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 134—136
Krylov space 311 314 325
Lagrange polynomials 39
Lanczos algorithm 325—326
Laplace's equation 94
Least squares method 32—33
Linear 75
Loss tangent 4
LU decomposition 303 316—317
LU decomposition, Cholesky 303—304 326
LU decomposition, Incomplete LU (ILU) 300 315
Magnetic conductivity 194
Magnetic field integral, three-dimensional 10—12 230
Magnetic field integral, two-dimensional 14 134 279—280
Magnetostatic 9
Material constants 3
Matrix see also “Element matrix”
Matrix, bandwidth 306—307
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