Numerical Methods for Nonlinear Variational Problems
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Beschreibung
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.
Long awaited softcover re-publication of a highly cited Classic in Applied Mathematics and Computational Physics
Benefits graduate students and practitioners in applied mathematics, computational physics and engineering
With excercises throughout the text
Autor*in
Roland Glowinski
Themen in »Numerical Methods for Nonlinear Variational Problems«
Approximation Navier-Stokes equation applied mathematics computational physics finite element method finite elements fluid dynamics fluids mathematics mechanics model nonlinear variational problems numerical methods operator optimization