Finite elements and fast iterative solvers : with applications in incompressible fluid dynamics
Elman, Howard CAuthor
Wathen, Andrew JContributor
Silvester, David JContributor
Silvester, David JAuthor
Wathen, Andrew JAuthor
The subject of this book is the efficient solution of partial differential equations (PDEs) that arise when modelling incompressible fluid flow. The first part covers the Poisson and the Stokes equations. For each PDE, there is a chapter concerned with finite element discretization and a companion chapter concerned with efficient iterative solution of the algebraic equations obtained from discretization. Chapter 5 describes the basics of PDE-constrained optimization. The second part of the book is a more advanced introduction to the numerical analysis of incompressible flows.
Bibliographic Level Mode of Issuance: Monograph
Includes bibliographical references and index.
The subject of this book is the efficient solution of partial differential equations (PDEs) that arise when modelling incompressible fluid flow. The first part covers the Poisson and the Stokes equations. For each PDE, there is a chapter concerned with finite element discretization and a companion chapter concerned with efficient iterative solution of the algebraic equations obtained from discretization. Chapter 5 describes the basics of PDE-constrained optimization. The second part of the book is a more advanced introduction to the numerical analysis of incompressible flows.
Description based on print version record.
Computational fluid dynamics
Differential equations, Partial
Finite element method
Applied Mathematics
Engineering & Applied Sciences