Lectures on Numerical Methods for Non-Linear Variational Problems

Lectures on Numerical Methods for Non-Linear Variational Problems

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Many mechanics and physics problems have variational formulations making them appropriate 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. qNumerical Methods for Nonlinear Variational Problemsq, 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 advanced students.Some Illustrations from an Industrial Application The methods described in Chapter VII have been used for the numerical simulation of the aerodynamical performances of a tri-jet engine AMD/BA Falcon 50. Figure A shows the trace on theanbsp;...


Title:Lectures on Numerical Methods for Non-Linear Variational Problems
Author: R. Glowinski
Publisher:Springer Science & Business Media - 2008-01-22
ISBN-13:

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