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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.
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
- No. of pages:
- © Academic Press 1976
- 1st January 1976
- Academic Press
- eBook ISBN:
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