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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.
Hamiltonian and Lagrangian flows on center manifolds Автор: Alexander Mielke Год: 1991 |
Calculus of Variations and Geometric Evolution Problems: Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.)held ... Mathematics / Fondazione C.I.M.E., Firenze) Автор: F. Bethuel, G. Huisken, S. Mueller, K. Steffen, S. Hildebrandt, M. Struwe Год: 1999 |
Splines and variational methods Автор: P. M. Prenter Год: 1989 |
Set-Valued Mappings and Enlargements of Monotone Operators Автор: Regina S. Burachik Год: 2007 |
Vector optimization: Set-valued and variational analysis Автор: Guang-ya Chen Год: 2005 |
Variational and quasi-variational inequalities in mechanics Автор: Alexander S. Kravchuk Год: 2007 |