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Springer Least-Squares Finite Element Method - Theory & Applications

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Description

This comprehensive guide introduces the least-squares finite element method (LSFEM) for solving partial differential equations numerically. The text covers foundational theory for first-order systems, including div-curl and div-curl-grad systems, then applies LSFEM systematically to permissible boundary conditions for the incompressible Navier-Stokes equations. It demonstrates why divergence equations in Maxwell equations are not redundant and derives equivalent second-order versions of both the Navier-Stokes and Maxwell equations. LSFEM is presented as a simple, efficient and robust approach capable of solving a wide range of problems in computational fluid dynamics and electromagnetics, making it an essential resource for researchers and engineers working with numerical methods.

Key Features

The Least-Squares Finite Element Method covers comprehensive theory for first-order systems including div-curl and div-curl-grad formulations.

LSFEM applications are demonstrated for permissible boundary conditions in incompressible Navier-Stokes equations.

The method shows that divergence equations in Maxwell equations are not redundant through rigorous mathematical treatment.

Equivalent second-order versions of both Navier-Stokes and Maxwell equations are derived using LSFEM.

LSFEM is proven to be simple, efficient and robust for solving problems across computational fluid dynamics and electromagnetics.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
15 December 2010
Listed Since
20 September 2010

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