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Stable Numerical Schemes for Incompressible Fluids, Elastic Structures and Fluid-Structure Interaction

Stable Numerical Schemes for Incompressible Fluids, Elastic Structures and Fluid-Structure Interaction

Cornel Marius Murea
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Stable Numerical Schemes for Incompressible Fluids, Elastic Structures and Fluid-Structure Interaction presents numerical algorithms for solving incompressible fluids, elastic structures and fluid-structure interaction. It collects some of fundamental finite element methods, but also, some new approaches. For Stokes and Navier-Stokes equations, mixed finite element method was employed. Arbitrary Lagrangian Eulerian framework was used for fluids in moving domain. Schemes for linear and St Venant-Kirchhoff non-linear dynamic elasticity are presented. The stability of the schemes is proved. It is self-contained document. Every chapter is supplied with numerical tests. The book is addressed to Master students in Mathematics or Mechanical Engineering.


A self-contained monograph containing together schemes for fluids as well as for elastic structures, but also theirs interactions
Numerical analysis of schemes for Stokes and Navier-Stokes equations
Dynamic linear and non-linear elasticity and fluid-structure interaction
Format
Hardcover
Publisher
Iste Press - Elsevier
Release
October 15, 2017
ISBN
1785482734
ISBN 13
9781785482731

Stable Numerical Schemes for Incompressible Fluids, Elastic Structures and Fluid-Structure Interaction

Cornel Marius Murea
0/5 ( ratings)
Read Download
Stable Numerical Schemes for Incompressible Fluids, Elastic Structures and Fluid-Structure Interaction presents numerical algorithms for solving incompressible fluids, elastic structures and fluid-structure interaction. It collects some of fundamental finite element methods, but also, some new approaches. For Stokes and Navier-Stokes equations, mixed finite element method was employed. Arbitrary Lagrangian Eulerian framework was used for fluids in moving domain. Schemes for linear and St Venant-Kirchhoff non-linear dynamic elasticity are presented. The stability of the schemes is proved. It is self-contained document. Every chapter is supplied with numerical tests. The book is addressed to Master students in Mathematics or Mechanical Engineering.


A self-contained monograph containing together schemes for fluids as well as for elastic structures, but also theirs interactions
Numerical analysis of schemes for Stokes and Navier-Stokes equations
Dynamic linear and non-linear elasticity and fluid-structure interaction
Format
Hardcover
Publisher
Iste Press - Elsevier
Release
October 15, 2017
ISBN
1785482734
ISBN 13
9781785482731

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