The Least-Squares Finite Element Method: Theory and Applications in Computational Fluid Dynamics and Electromagnetics (Scientific Computation) [Hardcover]

Bo-nan Jiang (Author)

Book Description

Publication Date: June 22, 1998 | ISBN-10: 3540639349 | ISBN-13: 978-3540639343 | Edition: 1

This is the first monograph on the subject, providing a comprehensive introduction to the LSFEM method for numerical solution of PDEs. LSFEM is simple, efficient and robust, and can solve a wide range of problems in fluid dynamics and electromagnetics.

Editorial Reviews

From the Back Cover

This is the first book devoted to the least-squares finite element method (LSFEM), which is a simple, efficient and robust technique for the numerical solution of partial differential equations. The book demonstrates that the LSFEM can solve a broad range of problems in fluid dynamics and electromagnetics with only one mathematical/computational formulation. The book shows that commonly adopted special treatments in computational fluid dynamics and computational electromagnetics, such as upwinding, numerical dissipation, staggered grid, non-equal-order elements, operator splitting and preconditioning, edge elements, vector potential, and so on, are unnecessary. This book introduces the basic theory of the least-squares method for first-order PDE systems, particularly the div-curl system and the div-curl-grad system. It is applied to the study of permissible boundary conditions for the incompressible Navier--Stokes equations, to show that the divergence equations in the Maxwell equations are not redundant, and to derive equivalent second-order versions of the Navier--Stokes equations and the Maxwell equations. This book covers diverse applications such as incompressible viscous flows, rotational inviscid flows, low- or high-Mach-number compressible flows, two-fluid flows, convective flows, and scattering waves.

Product Details

• Hardcover: 434 pages
• Publisher: Springer; 1 edition (June 22, 1998)
• Language: English
• ISBN-10: 3540639349
• ISBN-13: 978-3540639343
• Product Dimensions: 9.5 x 6.3 x 1.1 inches
• Shipping Weight: 1.6 pounds (View shipping rates and policies)
• Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
• Amazon Best Sellers Rank: #1,944,679 in Books (See Top 100 in Books)

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Most Helpful Customer Reviews

5 of 8 people found the following review helpful:

5.0 out of 5 stars This is an important book !, July 29, 1998

By A Customer

This review is from: The Least-Squares Finite Element Method: Theory and Applications in Computational Fluid Dynamics and Electromagnetics (Scientific Computation) (Hardcover)

Why so? It draws attention to the use of the least-squares method for the solution of problems in fluid mechanics and electromagnetics. This method promises a remarkable simplification in the use of the finite element method in these fields as well as a unification with other fields such as structural analysis. Regardless of your prior experience with cfm or cem, this approach should be tried before you settle on any given approach.