Scientific Computation

The Least-Squares Finite Element Method

Theory and Applications in Computational Fluid Dynamics and Electromagnetics

Authors: Jiang, Bo-nan

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  • ISBN 978-3-662-03740-9
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About this book

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.

Table of contents (15 chapters)

Table of contents (15 chapters)

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-662-03740-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
  • ISBN 978-3-540-63934-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.99
price for USA in USD
  • ISBN 978-3-642-08367-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
The Least-Squares Finite Element Method
Book Subtitle
Theory and Applications in Computational Fluid Dynamics and Electromagnetics
Authors
Series Title
Scientific Computation
Copyright
1998
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-662-03740-9
DOI
10.1007/978-3-662-03740-9
Hardcover ISBN
978-3-540-63934-3
Softcover ISBN
978-3-642-08367-9
Series ISSN
1434-8322
Edition Number
1
Number of Pages
XVI, 418
Topics