Numerical Methods for Non-Linear Variational Problems

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Numerical Methods for Non-Linear Variational Problems
Publisher: Springer | ISBN: 3540775064 | edition 2008
PDF | 516 pages | 15,5 mb

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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