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 fields of engineering mathematics physics and
computer sciences.
