The finite element and the boundary element methods are the two most important developments in numerical mathematics to occur in this century. Many engineering and mathematics graduate curricula now include a course in boundary element methods. Such a course must cover numerical methods, basic methodology to real problems, and interactive computer usage. Both theory and applications, necessary for applied courses, are available in this new textbook.
An Introduction to Boundary Element Methods is logically organized and easy to read. The topics are carefully selected and meticulously presented. Applications are described for use in identifying potential problems and for heat transfer, diffusion equations, linear elasticity, water waves, ocean acoustics, acoustic scattering, aerodynamics, porous media, and simple laminar flows.
More than 20 computer subroutines help develop and explain the computational aspect of the subject. Hundreds of figures, exercises, and solved examples supplement text and help clarify important information.
The computer programs have been tested on some benchmark problems. Even in single precision the results are more accurate and better than those obtained from available Fortran programs.Introduction Historical Background What is BEM ? Boundary Elements Mathematical Preliminaries Results from Calculus Interpolation Functions Distributions Boundary Conditions Dirac Delta Function Fourier Series Problems References and Bibliography Variation and Weighted Residual Methods Weak Variational Formulation Galerkin Method Rayleigh-Ritz Method Choice of Test Functions Problems References and Bibliography One-Dimensional Problems Potential Flow Bending of an Elastic Beam Problems References and Bibliography Fundamental Solutions Eigenpairs and Dirac Delta Functil£²
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