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The Least-Squares Finite Element Method

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The Least-Squares Finite Element Method Synopsis

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.

About This Edition

ISBN: 9783540639343
Publication date:
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