From the contents:
- 1 Introduction- - 2 Vector fields- 2.1 Basic operators and equations- 2.1.1 Vector fields and operators- 2.1.2 Definition of a vector field- 2.1.3 Decomposition of a field- 2.1.4 Scalar and vector potentials- 2.1.5 Green s theorem- 2.1.6 Green s formula- 2.2 Electrostatic field- 2.2.1 Maxwell s equations for electrostatics- 2.2.2 Electrostatic potentials- 2.2.3 Electrostatic energy- 2.2.4 Field of a charged plane (rectangular domain)- 2.2.5 Field of a point charge in R3 (spherical domain)- 2.2.6 Field of a dipole of moment d q p = in R3- 2.2.7 Field of a line charge in R3 (cylindrical domain)- 2.2.8 Field of a surface charge on a sphere of radius a with densitys- -2.2.9 Energy and forces in the electrostatic field- 2.2.10 Force between the plates of a capacitor- 2.2.11 Force at the interface between two dielectric materials- 2.3 Magnetostatic field- 2.3.1 Maxwell s equations for magnetostatics- 2.3.2 Magnetostatic potentials- 2.3.3 Magnetostatic energy- 2.3.4 Field of a line current in R3- 2.3.5 Energy and forces in the magnetostatic field- 2.3.6 Force on an electromagnet- 2.3.7 Test problems- 2.4 Steady conduction field- 2.4.1 Maxwell s equations for conduction field- 2.4.2 Potentials- 2.4.3 Power loss- 2.4.4 Analytic functions of complex variable- 2.4.5 Field of a cylindrical conductor in R3- - 3 Analytical methods of solving boundary value problems- 3.1 Method of Green s functions- 3.1.1 Green s formula for electrostatics- 3.1.2 Field of a point charge q surrounded by a sphere of radius a with U = 0- 3.1.3 Field of a point charge q surrounded by a sphere of radius a with U = k- 3.1.4 Field of a surface dipole distributed on a sphere of radius a with dipole density t- 3.1.5 Green s formula for two-dimensional magnetostatics- 3.2 Method of images- 3.2.1 Magnetic field of a line current in a slot- 3.2.2 Magnetic field of an AC line current over a conducting half-space- 3.3 Method of separation of variables- 3.3.1 Magnetic field of a current uniformly distributed in a slot- - 4 Numerical methods of solving boundary value problems- 4.1 Variational formulation in magnetostatics- 4.2 Finite elements for two-dimensional magnetostatics- 4.2.1 Discretization of energy functional- 4.2.2 Local shape functions- 4.2.3 Coefficient matrix and source vector- 4.2.4 From potential to field- 4.2.5 Magnetic field in a slot solved by the finite element method- 4.3 Finite elements for three-dimensional magnetostatics- - 5 Time-varying electromagnetic field...
EAN/ISBN : 9781402068430
Publisher(s): Springer Netherlands
Format: ePub/PDF

Author(s): Barba, Paolo - Savini, Antonio - Wiak, Slawomir