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.
"Numerical Methods for Nonlinear Variational Problems,"
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.
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