The Least-Squares Finite Element Method von Bo-nan Jiang | Theory and Applications in Computational Fluid Dynamics and Electromagnetics | ISBN 9783642083679

The Least-Squares Finite Element Method

Theory and Applications in Computational Fluid Dynamics and Electromagnetics

von Bo-nan Jiang
Buchcover The Least-Squares Finite Element Method | Bo-nan Jiang | EAN 9783642083679 | ISBN 3-642-08367-6 | ISBN 978-3-642-08367-9

The Least-Squares Finite Element Method

Theory and Applications in Computational Fluid Dynamics and Electromagnetics

von Bo-nan Jiang
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.