## Numerical computation of electric and magnetic fields |

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### Contents

Problem Definition | 28 |

Linear Spaces in Field Computations | 35 |

Projection Methods in Field Computations | 59 |

Copyright | |

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### Common terms and phrases

active node points algorithm approximate solution basis functions bilinear functional charge density collocation configuration construction curl current density differentiation Dirichlet boundary condition Dirichlet node points divergence theorem eddy current problem electric field equals zero error exact solution expressed exterior problem field point field problem domain finite element method formulation free space Furthermore Galerkin Galerkin method Gauss-Quadrature given by Equation Helmholtz theorem higher order shape Hilbert space infinity inner product integral equation method interface interior isotropic JfNa Lagrange interpolating linear combination linear field problems linear projection linear shape functions linear space linear system magnetic field matrix medium Neumann boundary condition nonuniformities nonzero numerical solution operator order shape functions orthogonal projection permeability permittivity problem domain pulse basis function pyramid basis functions quasi-static real numbers scalar potential shown in Figure solved source problem domain subspace surface system of equations three-dimensional triangle unbounded region