Finite Elements and Fast Iterative Solvers: With Applications in Incompressible Fluid Dynamics
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Author Description
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. Howard C. Elman, David J. Silvester, Andrew J. Wathen. Previous Edition: 2005. Includes Bibliographical References And Index. Mode Of Access: World Wide Web.
Menrva's Summary
THE THESIS
This book investigates the development and implementation of efficient numerical methods for solving partial differential equations specifically related to incompressible fluid flow. The authors, Howard C. Elman, David J. Silvester, and Andrew J. Wathen, leverage their extensive expertise in numerical analysis to provide a structured framework for discretizing and solving algebraic equations. The text bridges the gap between theoretical discretization techniques and the practical application of iterative solvers in complex fluid dynamics scenarios.
THE SCOPE MAP
What You Will Find
- Finite element discretization techniques for Poisson and Stokes equations
- Iterative solution methods for large-scale algebraic systems
- Introduction to PDE-constrained optimization
- Advanced numerical analysis of incompressible flow models
Scope Limits
- Does not cover compressible fluid dynamics or turbulence modeling in depth
- Assumes a foundational understanding of linear algebra and calculus
THE AUTHORITY PERSPECTIVE
Experts recognize this text as a standard reference for graduate-level students and researchers in computational fluid dynamics. Readers frequently note the technical density of the prose, which requires a strong background in numerical methods to fully grasp the presented algorithms.
Page Count:
0
Publication Date:
1900-01-01
Publisher:
Oxford University Press,
ISBN-10:
019178074X
ISBN-13:
9780191780745
Engineering
Fluid dynamics
Numerical analysis
Iterative methods Mathematics
Mathematics