The Least-Squares Finite Element Method
Autor: | Jiang, Bo-Nan |
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EAN: | 9783540639343 |
Sachgruppe: | Physik, Astronomie |
Sprache: | Englisch |
Seitenzahl: | 440 |
Produktart: | Gebunden |
Veröffentlichungsdatum: | 22.06.1998 |
Untertitel: | Theory and Applications in Computational Fluid Dynamics and Electromagnetics |
Schlagworte: | Aerodynamik Dynamik (physikalisch) / Elektrodynamik Elektrodynamik - Quantenelektrodynamik Optik Variationsrechnung |
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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.