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

Sinopsis

This work presents a comprehensive introduction to the least-squares finite element method (LSFEM) as a unified method for the numerical solution of partial differential equations in engineering and physics. In this book a reasonably rigorous mathematical framework of the LSFEM is established without specialized mathematical knowledge beyond calculus and elementary differential equations. The book makes a thorough study of the div-curl system and the div-curl-grad system, then uses this new knowledge to analyze the incompressible Navier-Stokes equations and to derive their non-standard boundary conditions. Anyone who solves partial differential equations by numerical methods, whether he is an engineer, a mathematician or a scientist, should find this book of interest.

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