## Boundary Elements: An Introductory CourseThis best-selling text provides a simple introduction to the Boundary Element Method. Based on the authors' long teaching experience it is designed to convey in the most effective manner the fundamentals of the method. The book is presented in a way which makes it accessible to both undergraduate and graduate students as well as to practising engineers who want to learn the foundations of the technique. Of particular interest is the way in which Boundary Element concepts are introduced and immediately applied in simple, but useful, computer codes to facilitate understanding. A CD with the complete listing of program codes in Fortran is also included. |

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### Contents

Why Boundary Elements? | 1 |

Basic Concepts | 14 |

Potential Problems | 45 |

Elastostatics | 153 |

Two Dimensional Elastostatics | 209 |

Other Interesting Topics | 271 |

Numerical Integration | 287 |

Diskette Contents | 293 |

References for Further Reading | 294 |

Answers to Selected Exercises | 307 |

314 | |

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### Common terms and phrases

Analysis applied axisymmetric Berlin and CML body forces boundary conditions Boundary Element Formulation Boundary Element Methods Boundary Integral Equation BOUNDARY NODES C. A. Brebbia CML Publications coefﬁcients collocation point components Computational Mechanics Publications constant elements coordinates corner deﬁned DIMENSION discontinuous elements discretized displacements and tractions domain integral elastic elastostatics Engineering ﬁeld Figure ﬁnds ﬁnite element ﬁrst flux ﬂuxes Fracture Mechanics fundamental solution Gauss quadrature Gaussian quadrature Helmholtz equation Integral Equation Method INTERNAL POINTS Laplace equation linear elements matrix Notice NUMBER OF BOUNDARY number of elements NUMBER OF INTERNAL numerical integration obtained Pentech Press plane strain plate POCONBE Poisson Poisson equation potential problems PROGRAM quadratic elements right hand side satisﬁes shear modulus shown in ﬁgure singularity solved Southampton Springer-Verlag stress SUBROUTINE COMPUTES surface SYSTEM OF EQUATIONS technique three dimensional unknown variables weighted residual written Wrobel zero