Strongly Elliptic Systems And Boundary Integral Equations

William McLean

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William McLean - Strongly Elliptic Systems And Boundary Integral Equations.
Partial differential equations provide mathematical models of many important problems in the physical sciences and engineering. This book treats one class... Lire la suite
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Résumé

Partial differential equations provide mathematical models of many important problems in the physical sciences and engineering. This book treats one class of such equations, concentrating on methods involving the use of surface potentials. It provides the first detailed exposition of the mathematical theory of boundary integral equations of the first kind on non-smooth domains. Included are chapters on three specific examples: the Laplace equation, the Helmholtz equation and the equations of linear elasticity. The book is designed to provide an ideal preparation for studying the modern research literature on boundary element methods.

Sommaire

    • Abstract Linear Equations
    • Sobolev Spaces
    • Strongly Elliptic Systems
    • Homogeneous Distributions
    • Surface Potentials
    • Boundary Integral Equations
    • The Laplace Equation
    • The Helmholtz Equation
    • Linear Elasticity.

Caractéristiques

  • Date de parution
    21/03/2000
  • Editeur
  • ISBN
    0-521-66375-X
  • EAN
    9780521663755
  • Présentation
    Broché
  • Nb. de pages
    357 pages
  • Poids
    0.51 Kg
  • Dimensions
    15,2 cm × 22,8 cm × 2,1 cm

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À propos de l'auteur

Biographie de William McLean

Dr McLean received his PhD from the Australian National University, and is currently a Senior Lecturer in Applied Mathematics at the University of New South Wales.

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