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Numerical Methods for Nonlinear Variational Problems

Numerical Methods for Nonlinear Variational Problems

Paperback

Series: Scientific Computation

General MathematicsPhysics

ISBN10: 366212615X
ISBN13: 9783662126158
Publisher: Springer Nature
Published: Oct 3 2013
Pages: 493
Weight: 1.56
Height: 1.03 Width: 6.14 Depth: 9.21
Language: English

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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Physics