Finite Volume Methods for the Incompressible Navier-Stokes Equations (Springerbriefs in Mathematical Methods)

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Finite Volume Methods for the Incompressible Navier-Stokes Equations (Springerbriefs in Mathematical Methods)

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  • 製本 Paperback:紙装版/ペーパーバック版／ページ数 122 p.
  • 商品コード 9783030946357

Full Description

The book aims to provide a comprehensive understanding of the most recent developments in finite volume methods. Its focus is on the development and analysis of these methods for the two- and three-dimensional Navier-Stokes equations, supported by extensive numerical results. It covers the most used lower-order finite element pairs, with well-posedness and optimal analysis for these finite volume methods.The authors have attempted to make this book self-contained by offering complete proofs and theoretical results. While most of the material presented has been taught by the authors in a number of institutions over the past several years, they also include several updated theoretical results for the finite volume methods for the incompressible Navier-Stokes equations. This book is primarily developed to address research needs for students and academic and industrial researchers. It is particularly valuable as a research reference in the fieldsof engineering, mathematics, physics, and computer sciences. 

Contents

Mathematical Foundation.- FVMs for the stationary Stokes equations.- FVMs for the stationary Navier-Stokes equations.- FVMs for the stationary for nonstationary Navier Stokes equations.- Glossary.