Boundary Integral Equation Methods for Solids and Fluids

Marc Bonnet (CNRS and École Polytechnique, Paris, France)

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English

John Wiley & Sons Inc
26 April 1999

Integral calculus & equations; Geometry; Maths for scientists; Maths for engineers

The boundary element method is more appropriate than the finite element method to tackle linear, wave propagation, infinite domain, mobile boundaries and unknown boundaries problems. In some engineering applications, both methods are combined. This book presents the mathematical basis of this method and its computer implementation. Numerous applications to fluid mechanics, mechanics of solids, acoustics and electromagnetism are developed.

By: Marc Bonnet (CNRS and École Polytechnique Paris France)
Imprint: John Wiley & Sons Inc
Country of Publication: United States
Dimensions: Height: 239mm, Width: 166mm, Spine: 32mm
Weight: 737g
ISBN: 9780471971849
ISBN 10: 0471971847
Pages: 412
Publication Date: 26 April 1999
Audience: College/higher education , Professional and scholarly , Professional & Vocational , A / AS level , Further / Higher Education
Format: Hardback
Publisher's Status: Active

Basic principle and domains of application. I. BOUNDARY INTEGRAL EQUATIONS FOR STATIC PROBLEMS : Integral Equations and Representations for the Poisson Equation; Numerical Solution using Boundary Elements; Integral Equations and Representations for Elastostatics; Integral Representations of Gradients and Stresses on the Boundary; Some Classical Mathematical Results II. BOUNDARY INTEGRAL EQUATIONS FOR WAVE AND EVOLUTION PROBLEMS: Waves and Elastodynamics in Time Domain; Waves and Elastodynamics in Frequency Domain; Diffusion, Fluid Flow. III. ADVANCED TOPICS : Variational Boundary Integral Formulations; Exploitation of Geometrical Symmetry; Domain Derivative and Boundary Integral Eequations. IV. ADDITIONAL TOPICS IN SOLID MECHANICS : Boundary Integral Equations for Cracked Solids; Initial Strain or Stress: Inclusions, Elastoplasticity. APPENDICES : Tangential Differential Operators and Integration by Parts; Interpolation Functions and Numerical Integration. Bibliography. Index.

Marc Bonnet is the author of Boundary Integral Equation Methods for Solids and Fluids, published by Wiley.