TY - GEN AB - 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. . AU - Li, Jian, AU - Lin, Xiaolin, AU - Chen, Zhangxing, CN - QA911 DO - 10.1007/978-3-030-94636-4 DO - doi ID - 1443919 KW - Finite volume method. KW - Navier-Stokes equations. KW - Méthodes de volumes finis. KW - Équations de Navier-Stokes. LK - https://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-94636-4 N2 - 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. . SN - 9783030946364 SN - 3030946363 SN - 9783030946371 SN - 3030946371 T1 - Finite volume methods for the incompressible Navier-Stokes equations / TI - Finite volume methods for the incompressible Navier-Stokes equations / UR - https://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-94636-4 ER -