Many mechanics and physics problems have variational formulations making themappropriate for numerical treatment by finite element techniques and efficient iterative methods. This book describes the mathematical background and reviews the techniques for solving problems, including those that require large computations such as transonic flows for compressible fluids and the Navier-Stokes equations for incompressible viscous fluids. Finite element approximations and non-linear relaxation, augmented Lagrangians, and nonlinear least square methods are all covered in detail, as are many applications. ‘Numerical Methods for Nonlinear Variational Problems’, originally published in the Springer Series in Computational Physics, is a classic in applied mathematics and computational physics and engineering. This long-awaited softcover re-edition is still a valuable resource for practitioners in industry and physics and for advancedstudents. Long awaited softcover re-publication of a highly cited Classic in Applied Mathematics and Computational Physics With excercises throughout the text INDICE: Some Preliminary Comments.- Generalities on Elliptic Variational Inequalities and on Their Approximation.- Application of the Finite Element Method to the Approximation of Some Second-Order EVI.- On the Approximation of Parabolic Variational Inequalities.- Applications of Elliptic Variational Inequality Methods to the Solution of Some Nonlinear Elliptic Equations.- RelaxationMethods and Applications.- Decomposition-Coordination Methods by Augmented Lagrangian: Applications.- Least-Squares Solution of Nonlinear Problems: Application to Nonlinear Problems in Fluid Dynamics.- A Brief Introduction to Linear Variational Problems.- A Finite Element Method with Upwinding for Second-OrderProblems with Large First-Order Terms.- Some Complements on the Navier-StokesEquations and Their Numerical Treatment.- Some Illustrations from an Industrial Application.- Bibliography.- Glossary of Symbols.- Author Index.- Subject Index.
- ISBN: 978-3-540-77506-5
- Editorial: Springer
- Encuadernacion: Rústica
- Páginas: 493
- Fecha Publicación: 01/02/2008
- Nº Volúmenes: 1
- Idioma: Inglés