Numerical Solution of Partial Differential Equations–III. 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: SYNSPADE

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. Content: ACADEMIC PRESS RAPID MANUSCRIPT REPRODUCTION, Page ii Front Matter, Page iii Copyright, Page iv CONTRIBUTORS, Page vii PREFACE, Page ix ELASTOSTATIC AND ELASTODYNAMIC STRESS SINGULARITIES, Pages 1-33, J.D. Achenbach FUNDAMENTAL MATHEMATICAL PROBLEMS IN THE THEORY OF NONLINEAR ELASTICITY, Pages 35-54, Stuart S. Antman NUMERICAL SOLUTION OF LINEAR PARTIAL DIFFERENTIAL EQUATIONS OF ELLIPTIC-HYPERBOLIC TYPE, Pages 55-88, A.K. Aziz, S.H. Leventhal HOMOGENIZATION AND ITS APPLICATION. MATHEMATICAL AND COMPUTATIONAL PROBLEMS, Pages 89-116, Ivo Babuška AN ASSESSMENT OF CURRENT FINITE ELEMENT ANALYSIS OF NONLINEAR PROBLEMS IN SOLID MECHANICS, Pages 117-164, Klaus-Jürgen Bathe CRUDE NUMERICAL APPROXIMATION OF TURBULENT FLOW, Pages 165-176, Alexandre Joel Chorin HETEROGENEITY EFFECTS IN NEUTRON TRANSPORT COMPUTATIONS, Pages 177-205, Ely M. Gelbard BEHAVIOR OF THE SOLUTIONS OF AN ELLIPTIC BOUNDARY VALUE PROBLEM IN A POLYGONAL OR POLYHEDRAL DOMAIN, Pages 207-274, Pierre Grisvard NUMERICAL SOLUTION OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS OF MIXED TYPE, Pages 275-320, Antony Jameson NUMERICAL ANALYSIS OF THE NEUTRON TRANSPORT EQUATION, Pages 321-347, R.B. Kellogg INSTABILITY PHENOMENA IN FLUID MECHANICS, Pages 349-371, Klaus Kirchgässner INTRODUCTION TO SOME ASPECTS OF FREE SURFACE PROBLEMS, Pages 373-391, J.L. Lions REGULARITY OF SOLUTIONS OF THE STOKES PROBLEM IN A POLYGONAL DOMAIN, Pages 393-411, John E. Osborn HYPERBOLIC EQUATIONS IN REGIONS WITH CHARACTERISTIC BOUNDARIES OR WITH CORNERS, Pages 413-441, Stanley Osher NUMERICAL BIFURCATION AND SECONDARY BIFURCATION: A CASE HISTORY, Pages 443-467, Louis Bauer, Edward L. Reiss CONVERGENCE IN ENERGY FOR ELLIPTIC OPERATORS, Pages 469-499, Sergio Spagnolo Edited By Bert Hubbard. Sponsored By The Institute For Fluid Dynamics And Applied Mathematics, University Of Maryland. Includes Bibliographies.