## Investigation of finite element-ABC methods for electromagnetic field simulation |

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### Contents

Basic concepts of electromagnetics and finite elements | 7 |

Shape functions for scalar and vector finite elements | 19 |

Vector finite elements for 3D electromagnetic problems | 43 |

Copyright | |

3 other sections not shown

### Common terms and phrases

absorbing boundary condition algorithm approximation Backscatter pattern basis functions biconjugate gradient biconjugate gradient method Black dots indicate cavity chapter coefficients convergence coordinates cube curl cylinder denotes derived diagonal preconditioner dielectric domain dot products dots indicate computed edge elements edge-based eigenvalues electric field electromagnetics FE-ABC finite element method formulation geometries given higher order implementation indicate computed values inhomogeneities Intel iPSC/860 KSR1 line represents measured matrix-vector mesh termination boundary Mesh termination surface mesh truncation n x VxE node node-based elements number of processors number of unknowns Observation Angle obtained outer boundary parallel perfectly conducting plate planar plane principal curvatures rectangular bricks reduces represents measured data scattered field second order ABC shape functions solution solving Sommerfeld radiation condition sparse matrix speedup spurious modes storage subpage symmetric system of equations tangential component techniques termination scheme tetrahedral element tetrahedron three dimensional triangular element vector identities volume wave equation zero