Scientific Computation: Theory and Applications in Computational Fluid Dynamics and Electromagnetics

Jiang, Bo-nan

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.

Details

Published by: Springer

Publication Date: 2010-12-15

Format: Paperback

ISBN-13: 9783642083679

DOI: 10.1007/978-3-662-03740-9

Dimensions: 235cm x155cm

Pages: 418