Author: Roland Glowinski
Publisher: Springer Science & Business Media
ISBN: 3662126133
Category : Science
Languages : en
Pages : 506
Book Description
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, and nonlinear least square methods are all covered in detail, as are many applications. This volume is a classic in a long-awaited softcover re-edition.
Numerical Methods for Nonlinear Variational Problems
Author: Roland Glowinski
Publisher: Springer Science & Business Media
ISBN: 3662126133
Category : Science
Languages : en
Pages : 506
Book Description
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, and nonlinear least square methods are all covered in detail, as are many applications. This volume is a classic in a long-awaited softcover re-edition.
Publisher: Springer Science & Business Media
ISBN: 3662126133
Category : Science
Languages : en
Pages : 506
Book Description
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, and nonlinear least square methods are all covered in detail, as are many applications. This volume is a classic in a long-awaited softcover re-edition.
Numerical Analysis of Variational Inequalities
Author: R. Trémolières
Publisher: Elsevier
ISBN: 0080875297
Category : Mathematics
Languages : en
Pages : 807
Book Description
Numerical Analysis of Variational Inequalities
Publisher: Elsevier
ISBN: 0080875297
Category : Mathematics
Languages : en
Pages : 807
Book Description
Numerical Analysis of Variational Inequalities
Approximation Methods for Navier-Stokes Problems
Author: R. Rautmann
Publisher: Springer
ISBN: 3540385509
Category : Mathematics
Languages : en
Pages : 602
Book Description
Publisher: Springer
ISBN: 3540385509
Category : Mathematics
Languages : en
Pages : 602
Book Description
Implementation of Finite Element Methods for Navier-Stokes Equations
Author: F. Thomasset
Publisher: Springer Science & Business Media
ISBN: 3642870473
Category : Science
Languages : en
Pages : 168
Book Description
In structure mechanics analysis, finite element methods are now well estab lished and well documented techniques; their advantage lies in a higher flexibility, in particular for: (i) The representation of arbitrary complicated boundaries; (ii) Systematic rules for the developments of stable numerical schemes ap proximating mathematically wellposed problems, with various types of boundary conditions. On the other hand, compared to finite difference methods, this flexibility is paid by: an increased programming complexity; additional storage require ment. The application of finite element methods to fluid mechanics has been lagging behind and is relatively recent for several types of reasons: (i) Historical reasons: the early methods were invented by engineers for the analysis of torsion, flexion deformation of bearns, plates, shells, etc ... (see the historics in Strang and Fix (1972) or Zienckiewicz (1977». (ii) Technical reasons: fluid flow problems present specific difficulties: strong gradients,l of the velocity or temperature for instance, may occur which a finite mesh is unable to properly represent; a remedy lies in the various upwind finite element schemes which recently turned up, and which are reviewed in chapter 2 (yet their effect is just as controversial as in finite differences). Next, waves can propagate (e.g. in ocean dynamics with shallowwaters equations) which will be falsely distorted by a finite non regular mesh, as Kreiss (1979) pointed out. We are concerned in this course with the approximation of incompressible, viscous, Newtonian fluids, i.e. governed by N avier Stokes equations.
Publisher: Springer Science & Business Media
ISBN: 3642870473
Category : Science
Languages : en
Pages : 168
Book Description
In structure mechanics analysis, finite element methods are now well estab lished and well documented techniques; their advantage lies in a higher flexibility, in particular for: (i) The representation of arbitrary complicated boundaries; (ii) Systematic rules for the developments of stable numerical schemes ap proximating mathematically wellposed problems, with various types of boundary conditions. On the other hand, compared to finite difference methods, this flexibility is paid by: an increased programming complexity; additional storage require ment. The application of finite element methods to fluid mechanics has been lagging behind and is relatively recent for several types of reasons: (i) Historical reasons: the early methods were invented by engineers for the analysis of torsion, flexion deformation of bearns, plates, shells, etc ... (see the historics in Strang and Fix (1972) or Zienckiewicz (1977». (ii) Technical reasons: fluid flow problems present specific difficulties: strong gradients,l of the velocity or temperature for instance, may occur which a finite mesh is unable to properly represent; a remedy lies in the various upwind finite element schemes which recently turned up, and which are reviewed in chapter 2 (yet their effect is just as controversial as in finite differences). Next, waves can propagate (e.g. in ocean dynamics with shallowwaters equations) which will be falsely distorted by a finite non regular mesh, as Kreiss (1979) pointed out. We are concerned in this course with the approximation of incompressible, viscous, Newtonian fluids, i.e. governed by N avier Stokes equations.
Finite Elements in Fluids
Author: Richard H. Gallagher
Publisher:
ISBN:
Category : Finite element method
Languages : en
Pages : 672
Book Description
Vols. for 1975 contain selected papers from the International Symposium on Finite Element Methods in Flow Problems; vols. for 1976- contain selected papers from the International Conference on finite Elements in Flow Problems.
Publisher:
ISBN:
Category : Finite element method
Languages : en
Pages : 672
Book Description
Vols. for 1975 contain selected papers from the International Symposium on Finite Element Methods in Flow Problems; vols. for 1976- contain selected papers from the International Conference on finite Elements in Flow Problems.
Publications du Laboratoire d'analyse numérique
Numerical Methods for Nonlinear Variational Problems
Author: R. Glowinski
Publisher: Springer
ISBN:
Category : Numerical analysis
Languages : en
Pages : 520
Book Description
Publisher: Springer
ISBN:
Category : Numerical analysis
Languages : en
Pages : 520
Book Description
Computational Fluid Dynamics
Computer Methods in Fluids
Author: Kenneth Morgan
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 416
Book Description
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 416
Book Description
Computing Methods in Applied Sciences and Engineering
Author: R. Glowinski
Publisher: North Holland
ISBN:
Category : Science
Languages : en
Pages : 748
Book Description
Publisher: North Holland
ISBN:
Category : Science
Languages : en
Pages : 748
Book Description