Preface |
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ix | |
Acknowledgments |
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xiii | |
About the Author |
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xv | |
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Computational Electromagnetics |
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1 | (4) |
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Computational Electromagnetics Algorithms |
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1 | (4) |
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2 | (1) |
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2 | (2) |
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4 | (1) |
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A Brief Review of Electromagnetics |
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5 | (28) |
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5 | (1) |
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Electromagnetic Boundary Conditions |
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6 | (1) |
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Formulations for Radiation |
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6 | (4) |
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Three-Dimensional Green's Function |
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8 | (1) |
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Two-Dimensional Green's Function |
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9 | (1) |
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10 | (4) |
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Magnetic Vector Potential |
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11 | (1) |
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Electric Vector Potential |
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12 | (1) |
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Comparison of Radiation Formulas |
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13 | (1) |
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14 | (4) |
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15 | (1) |
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16 | (2) |
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18 | (7) |
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18 | (2) |
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20 | (5) |
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Surface Integral Equations |
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25 | (8) |
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Electric Field Integral Equation |
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25 | (1) |
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Magnetic Field Integral Equation |
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26 | (2) |
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Combined Field Integral Equation |
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28 | (2) |
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30 | (3) |
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33 | (30) |
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33 | (10) |
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34 | (5) |
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39 | (4) |
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43 | (2) |
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44 | (1) |
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44 | (1) |
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Common Two-Dimensional Basis Functions |
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45 | (3) |
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45 | (1) |
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Piecewise Triangular Functions |
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45 | (1) |
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Piecewise Sinusoidal Functions |
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46 | (1) |
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47 | (1) |
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Number of Basis Functions |
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47 | (1) |
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Solution of Matrix Equations |
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48 | (15) |
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48 | (2) |
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50 | (2) |
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52 | (1) |
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53 | (4) |
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57 | (1) |
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Commonly Used Matrix Algebra Software |
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58 | (3) |
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61 | (2) |
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63 | (32) |
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63 | (2) |
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65 | (3) |
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65 | (1) |
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66 | (1) |
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67 | (1) |
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Solving Hallen's Equation |
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68 | (4) |
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69 | (2) |
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71 | (1) |
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Solving Pocklington's Equation |
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72 | (1) |
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Solution by Pulse Functions and Point Matching |
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73 | (1) |
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Thin Wires of Arbitrary Shape |
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73 | (6) |
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Redistribution of EFIE Differential Operators |
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74 | (1) |
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Solution Using Triangle Basis and Testing Functions |
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75 | (2) |
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Solution Using Sinusoidal Basis and Testing Functions |
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77 | (1) |
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Lumped and Distributed Impedances |
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78 | (1) |
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79 | (16) |
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Comparison of Thin Wire Models |
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79 | (4) |
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83 | (3) |
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86 | (1) |
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Two-Wire Transmission Line |
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87 | (2) |
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89 | (5) |
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94 | (1) |
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95 | (30) |
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95 | (14) |
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EFIE for a Strip: TM Polarization |
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95 | (5) |
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Generalized EFIE: TM Polarization |
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100 | (2) |
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EFIE for a Strip: TE Polariation |
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102 | (5) |
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Generalized EFIE: TE Polarization |
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107 | (2) |
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109 | (4) |
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109 | (2) |
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111 | (2) |
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113 | (12) |
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Scattering by an Infinite Cylinder: TM Polarization |
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113 | (2) |
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Scattering by an Infinite Cylinder: TE Polarization |
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115 | (9) |
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124 | (1) |
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125 | (36) |
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125 | (1) |
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Surface Current Expansion on a BOR |
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126 | (1) |
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EFIE for a Conducting BOR |
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127 | (9) |
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127 | (3) |
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130 | (4) |
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134 | (2) |
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MFIE for a Conducting BOR |
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136 | (5) |
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137 | (3) |
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140 | (1) |
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141 | (1) |
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Notes on Software Implementation |
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141 | (1) |
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141 | (1) |
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142 | (1) |
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142 | (19) |
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142 | (1) |
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142 | (3) |
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145 | (7) |
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152 | (7) |
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159 | (1) |
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159 | (2) |
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Three-Dimensional Problems |
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161 | (48) |
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Representation of Three-Dimensional Surfaces |
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161 | (3) |
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Surface Currents on a Triangle |
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164 | (3) |
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165 | (2) |
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EFIE for Three-Dimensional Conducting Surfaces |
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167 | (12) |
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167 | (1) |
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Singular Matrix Element Evaluation |
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168 | (8) |
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EFIE Excitation Vector Elements |
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176 | (2) |
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178 | (1) |
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MFIE for Three-Dimensional Conducting Surfaces |
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179 | (6) |
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179 | (5) |
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MFIE Excitation Vector Elements |
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184 | (1) |
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184 | (1) |
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Accuracy of RWG Functions in MFIE |
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184 | (1) |
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Notes on Software Implementation |
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185 | (2) |
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185 | (1) |
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185 | (2) |
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Considerations for Modeling with Triangles |
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187 | (1) |
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187 | (1) |
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Watertight Meshes and T-Junctions |
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188 | (1) |
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188 | (21) |
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189 | (1) |
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189 | (1) |
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EMCC Plate Benchmark Targets |
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189 | (9) |
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198 | (1) |
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199 | (2) |
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Archimedean Spiral Antenna |
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201 | (3) |
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204 | (1) |
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205 | (4) |
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The Fast Multipole Method |
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209 | (46) |
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The Matrix-Vector Product |
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210 | (1) |
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210 | (3) |
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212 | (1) |
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213 | (2) |
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213 | (1) |
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214 | (1) |
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215 | (1) |
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215 | (1) |
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One-Level Fast Multipole Algorithm |
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215 | (7) |
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Grouping of Basis Functions |
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215 | (1) |
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216 | (1) |
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216 | (2) |
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Sampling Rates and Integration |
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218 | (1) |
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219 | (1) |
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Radiation and Receive Functions |
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220 | (1) |
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220 | (1) |
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221 | (1) |
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222 | (1) |
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Multi-Level Fast Multipole Algorithm (MLFMA) |
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222 | (9) |
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222 | (1) |
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223 | (4) |
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227 | (2) |
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229 | (1) |
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Radiation and Receive Functions |
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230 | (1) |
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Interpolation Steps in MLFMA |
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230 | (1) |
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231 | (1) |
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Notes on Software Implementation |
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231 | (4) |
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Initial Guess in Iterative Solution |
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231 | (1) |
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232 | (2) |
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234 | (1) |
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234 | (1) |
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235 | (5) |
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235 | (1) |
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Block Diagonal Preconditioner |
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236 | (1) |
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Inverse LU Preconditioner |
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236 | (1) |
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Sparse Approximate Inverse |
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237 | (3) |
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240 | (15) |
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240 | (1) |
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240 | (5) |
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245 | (7) |
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252 | (3) |
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255 | (16) |
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One-Dimensional Integration |
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255 | (5) |
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255 | (1) |
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256 | (2) |
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258 | (1) |
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One-Dimensional Gaussian Quadrature |
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259 | (1) |
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Integration over Triangles |
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260 | (11) |
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260 | (2) |
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Radiation Integrals with a Constant Source |
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262 | (3) |
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Radiation Integrals with a Linear Source |
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265 | (2) |
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Gaussian Quadrature on Triangles |
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267 | (2) |
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269 | (2) |
Index |
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271 | |