## Mixed boundary value problems of potential theory and their applications in engineering |

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### Contents

INTRODUCTION | 1 |

GENERALIZED POTENTIAL THEORY | 97 |

APPLICATIONS IN ELECTROMAGNETICS | 125 |

Copyright | |

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### Common terms and phrases

accuracy annulus antisymmetric aperture applied approximate solution arbitrary aspect ratio Bladel bonded punch boundary conditions boundary value problem charge density distribution charge distribution circular sector coefficients complete solution computed considered contact problems cosh coshr coshx coshy crack defined denotes derived dimensionless Dirichlet problem Discrepancy disk domain electrical polarizability elementary functions elliptic error evaluation exact solution example expression flux following integral formula Fredholm integral equation gives governing integral equation harmonic hole integral representation integration with respect interchanging the order introduced kernel linear algebraic equations loading lower bound method normal displacements notation numerical results obtained Okon and Harrington operator order of integration orthogonal polynomials parameters plane z=0 points of collocations polarizability polygon potential function potential theory prescribed radius rhombus simplifies Smedt smooth punch solved spherical cap stress subroutine Substitution take the form theorem toroidal coordinates total charge two-dimensional unknown function V.I. Fabrikant Vcoshv yields