The Least-Squares Finite Element Method: Theory and Applications in Computational Fluid Dynamics and Electromagnetics

by Bo-nan Jiang

Here is a comprehensive introduction to the least-squares finite element method (LSFEM) for numerical solution of PDEs. It covers the theory for first-order systems, particularly the div-curl and the div-curl-grad system. Then LSFEM is applied systematically to 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. LSFEM is simple, efficient and robust, and can solve a wide range of problems in fluid dynamics and electromagnetics, including incompressible viscous flows, rotational inviscid flows, low-Mach-number compressible flows, two-fluid and convective flows, scattering waves, etc.

• Format: Paperback
• Language: English
• ISBN: 3642083676
• ISBN13: 9783642083679
• Release Date: December 2010
• Publisher: Springer
• Length: 418 Pages
• Weight: 1.34 lbs.
• Dimensions: 0.9" x 6.1" x 9.2"