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.
ISBN: | 9783540639343 |
Publication date: | 22nd June 1998 |
Author: | BoNan Jiang |
Publisher: | Springer an imprint of Springer Berlin Heidelberg |
Format: | Hardback |
Pagination: | 418 pages |
Series: | Scientific Computation |
Genres: |
Mathematical physics Numerical analysis Optimization Classical mechanics Electricity, electromagnetism and magnetism |