The Least-Squares Finite Element Method

Name: The Least-Squares Finite Element Method
Brand: Springer, Berlin
SKU: 9783642083679
Price: 149.39 EUR
Availability: InStock

Theory and Applications in Computational Fluid Dynamics and Electromagnetics

Autor: Bo-nan Jiang

Jazyk:

Väzba: Brožovaná

Vydavateľ: Springer, Berlin

Dostupnosť: Skladom u dodávateľa

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149.39 €

This is the first monograph on the subject, providing a comprehensive introduction to the LSFEM meth...

Informácie o knihe

Autor

Bo-nan Jiang

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Vydalo

2010

Stránok

418

EAN

9783642083679

ISBN

3642083676

Enbook ID

01653380

Vydavateľ

Springer, Berlin

Hmotnosť

664

Rozmery

157 x 235 x 22

Kompletný popis

This is the first monograph on the subject, providing a comprehensive introduction to the LSFEM method for numerical solution of PDEs. LSFEM is simple, efficient and robust, and can solve a wide range of problems in fluid dynamics and electromagnetics.This is the first book devoted to the least-squares finite element method (LSFEM), which is a simple, efficient and robust technique for the numerical solution of partial differential equations. The book demonstrates that the LSFEM can solve a broad range of problems in fluid dynamics and electromagnetics with only one mathematical/computational formulation. The book shows that commonly adopted special treatments in computational fluid dynamics and computational electromagnetics, such as upwinding, numerical dissipation, staggered grid, non-equal-order elements, operator splitting and preconditioning, edge elements, vector potential, and so on, are unnecessary.This book introduces the basic theory of the least-squares method for first-order PDE systems, particularly the div-curl system and the div-curl-grad system. It is applied to the study of 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. This book covers diverse applications such as incompressible viscous flows, rotational inviscid flows, low- or high-Mach-number compressible flows, two-fluid flows, convective flows, and scattering waves.

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The Least-Squares Finite Element Method

Theory and Applications in Computational Fluid Dynamics and Electromagnetics

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