000			04355cam a22004575i 4500
003			BYT
008			130503s1984 gw | s |||| 0|eng d
020			_a9783662126158
041			_aeng
082	0	4	_223 _a518.6
100	1		_aGlowinski, Roland. _92707
245	1	0	_aNumerical methods for nonlinear variational problems / _cby Roland Glowinski.
260			_aNew York : _bSpringer-Verlag, _c c1984
300			_axiii, 493 pages : _billustrations ; _c24 cm.
490	1		_aSpringer Series in Computational Physics, _x1434-8322
505	0		_aI Generalities on Elliptic Variational Inequalities and on Their Approximation -- II Application of the Finite Element Method to the Approximation of Some Second-Order EVI -- III On the Approximation of Parabolic Variational Inequalities -- IV Applications of Elliptic Variational Inequality Methods to the Solution of Some Nonlinear Elliptic Equations -- V Relaxation Methods and Applications -- VI Decomposition-Coordination Methods by Augmented Lagrangian: Applications -- VII Least-Squares Solution of Nonlinear Problems: Application to Nonlinear Problems in Fluid Dynamics -- Appendix I A Brief Introduction to Linear Variational Problems -- 1. Introduction -- 2. A Family of Linear Variational Problems -- 3. Internal Approximation of Problem (P) -- 4. Application to the Solution of Elliptic Problems for Partial Differential Operators -- 5. Further Comments: Conclusion -- Appendix II A Finite Element Method with Upwinding for Second-Order Problems with Large First Order Terms -- 1. Introduction -- 2. The Model Problem -- 3. A Centered Finite Element Approximation -- 4. A Finite Element Approximation with Upwinding -- 5. On the Solution of the Linear System Obtained by Upwinding -- 6. Numerical Experiments -- 7. Concluding Comments -- Appendix III Some Complements on the Navier-Stokes Equations and Their Numerical Treatment -- 1. Introduction -- 4. Further Comments on the Boundary Conditions -- 5. Decomposition Properties of the Continuous and Discrete Stokes Problems of Sec. 4. Application to Their Numerical Solution -- 6. Further Comments -- Some Illustrations from an Industrial Application -- Glossary of Symbols -- Author Index.
520			_aMany 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.
650		0	_aPhysics _9432
650		0	_aFísica _9102
650		0	_aComputer science _xMathematics. _9133
650		0	_aCiencia de la computación _xMatemáticas _92402
650		0	_aMathematical optimization.
650		0	_aEngineering mathematics.
650		0	_aMatemáticas de ingeniería. _92708
650		0	_aEngineering.
650	1	4	_aPhysics.
650		0	_aNumerical and Computational Physics. _92709
650		0	_aFísica Numérica y Computacional _92710
650		0	_aComputational Intelligence. _92711
650		0	_aInteligencia artificial _92298
650		0	_aComputational Mathematics and Numerical Analysis. _92712
650		0	_aMatemáticas computacionales y análisis numérico. _92713
650		0	_aClassical Continuum Physics. _92714
650		0	_aFísica Continua Clásica _92715
650		0	_aAppl.Mathematics/Computational Methods of Engineering. _92716
650		0	_aAplicaciones matemáticas _92717
650		0	_aCalculus of Variations and Optimal Control; Optimization. _92718
650		0	_aCálculo de variaciones y control óptimo _92719 _xOptimización
830			_aSpringer Series in Computational Physics _92720
942			_2ddc _cLIBRO
999			_c696