Numerical Methods for Nonlinear Variational Problems

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Focused on variational formulations in mechanics and physics, this book provides a comprehensive overview of mathematical foundations and numerical techniques for solving complex problems. It delves into methods suitable for large computations, such as transonic flows and the Navier-Stokes equations. Detailed discussions on finite element approximations, non-linear relaxation, augmented Lagrangians, and nonlinear least squares methods are included, alongside numerous practical applications, making it a valuable resource for those engaged in advanced computational mechanics.