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The Least-Squares Finite Element Method: Theory and Applications in Computational Fluid Dynamics and Electromagnetics

The Least-Squares Finite Element Method: Theory and Applications in Computational Fluid Dynamics and Electromagnetics

Paperback

Series: Scientific Computation

Technology & EngineeringGeneral MathematicsPhysics

ISBN10: 3642083676
ISBN13: 9783642083679
Publisher: Springer Nature
Published: Dec 15 2010
Pages: 418
Weight: 1.34
Height: 0.89 Width: 6.14 Depth: 9.21
Language: English
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.

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