Lectures on Numerical Methods for Non-Linear Variational Problems - ISBN:3540775064

Lectures on Numerical Methods for Non-Linear Variational Problems

Date: 22 April 2011, 11:28

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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.

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