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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.
Autorius: | Bo-Nan Jiang |
Serija: | Scientific Computation |
Leidėjas: | Springer Berlin Heidelberg |
Išleidimo metai: | 2010 |
Knygos puslapių skaičius: | 436 |
ISBN-10: | 3642083676 |
ISBN-13: | 9783642083679 |
Formatas: | 235 x 155 x 24 mm. Knyga minkštu viršeliu |
Kalba: | Anglų |
Parašykite atsiliepimą apie „The Least-Squares Finite Element Method: Theory and Applications in Computational Fluid Dynamics and Electromagnetics“