Книга The Least-Squares Finite Element Method Bo-nan Jiang

The Least-Squares Finite Element Method

Theory and Applications in Computational Fluid Dynamics and Electromagnetics

Автор: Bo-nan Jiang
Език: Английски език
Корици: С меки корици
Издател: Springer, Berlin
Наличност: Външен склад
Изпращаме след 5-8 дни
157.41 307.86 лв
This is the first monograph on the subject, providing a comprehensive introduction to the LSFEM meth...

Информация за книгата

Автор
Език
Английски език
Корици
Книга - С меки корици
Издадена
2010
страници
418
EAN
9783642083679
ISBN
3642083676
Enbook ID
01653380
Издател
Теглоt
664
Размери
157 x 235 x 22

Пълно описание

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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