### Abstract

A three-part mixed boundary value problem for the half-space z ≥ 0 (with Neumann conditions prescribed over a finite doubly connected region S_{2} and Dirichlet conditions prescribed over the remaining of the z = 0 plane) is formulated to result into a system of two coupled integral equations. A procedure is outlined for the approximate solution of the problem under consideration for an arbitrary shape of the region S_{2}. For the special axisymmetric case when the region S_{2} is a circular annulus of inner and outer radii a and b, respectively, the system of integral equations is reduced to a Fredholm integral equation of the second kind with a continuous non-symmetric kernel. The resulting integral equation is solved numerically and the results are found to be in good agreement with those previously published.

Original language | English (US) |
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Pages (from-to) | 93-101 |

Number of pages | 9 |

Journal | Computer Methods in Applied Mechanics and Engineering |

Volume | 39 |

Issue number | 1 |

DOIs | |

State | Published - Jul 1983 |

### ASJC Scopus subject areas

- Computational Mechanics
- Mechanics of Materials
- Mechanical Engineering
- Physics and Astronomy(all)
- Computer Science Applications

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## Cite this

*Computer Methods in Applied Mechanics and Engineering*,

*39*(1), 93-101. https://doi.org/10.1016/0045-7825(83)90076-2