Numerical Solution of Partial Differential Equations—III, SYNSPADE 1975

Numerical Solution of Partial Differential Equations—III, SYNSPADE 1975

Proceedings of the Third Symposium on the Numerical Solution of Partial Differential Equations, SYNSPADE 1975, Held at the University of Maryland, College Park, Maryland, May 19-24, 1975

1st Edition - January 1, 1976

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  • Editor: Bert Hubbard
  • eBook ISBN: 9781483262369

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Description

Numerical Solution of Partial Differential Equations—III: Synspade 1975 provides information pertinent to those difficult problems in partial differential equations exhibiting some type of singular behavior. This book covers a variety of topics, including the mathematical models and their relation to experiment as well as the behavior of solutions of the partial differential equations involved. Organized into 16 chapters, this book begins with an overview of elastodynamic results for stress intensity factors of a bifurcating crack. This text then discusses the effects of nonlinearities, such as bifurcation, which occur in problems of nonlinear mechanics. Other chapters consider the equations of changing type and those with rapidly oscillating coefficients. This book discusses as well the effective computational methods for numerical solutions. The final chapter deals with the principal results on G-convergence, such as the convergence of the Green's operators for Dirichlet's and other boundary problems. This book is a valuable resource for engineers and mathematicians.

Table of Contents


  • Contributors

    Preface

    Elastostatic and Elastodynamic Stress Singularities

    Fundamental Mathematical Problems in the Theory of Nonlinear Elasticity

    Numerical Solution of Linear Partial Differential Equations of Elliptic-Hyperbolic Type

    Homogenization and Its Application. Mathematical and Computational Problems

    An Assessment of Current Finite Element Analysis of Nonlinear Problems in Solid Mechanics

    Crude Numerical Approximation of Turbulent Flow

    Heterogeneity Effects in Neutron Transport Computations

    Behavior of the Solutions of an Elliptic Boundary Value Problem in a Polygonal or Polyhedral Domain

    Numerical Solution of Nonlinear Partial Differential Equations of Mixed Type

    Numerical Analysis of the Neutron Transport Equation

    Instability Phenomena in Fluid Mechanics

    Introduction to Some Aspects of Free Surface Problems

    Regularity of Solutions of the Stokes Problem in a Polygonal Domain

    Hyperbolic Equations in Regions with Characteristic Boundaries or with Corners

    Numerical Bifurcation and Secondary Bifurcation: A Case History

    Convergence in Energy for Elliptic Operators

    Short Communications

Product details

  • No. of pages: 510
  • Language: English
  • Copyright: © Academic Press 1976
  • Published: January 1, 1976
  • Imprint: Academic Press
  • eBook ISBN: 9781483262369

About the Editor

Bert Hubbard

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