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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 book covers theory for first-order systems including div-curl and div-curl-grad systems, then applies LSFEM systematically to permissible boundary conditions for incompressible Navier-Stokes equations and Maxwell equations. It demonstrates how divergence equations in Maxwell equations are not redundant and derives equivalent second-order versions of both Navier-Stokes and Maxwell equations. LSFEM is presented as a simple, efficient and robust method capable of solving a wide range of problems in computational fluid dynamics and electromagnetics, making it essential for researchers and practitioners working with numerical PDE solutions.

Key Features

Comprehensive introduction to least-squares finite element method (LSFEM) for numerical solution of partial differential equations.

Detailed theory coverage for first-order systems, particularly div-curl and div-curl-grad system formulations.

Systematic application of LSFEM to incompressible Navier-Stokes equations with permissible boundary conditions.

Analysis of Maxwell equations demonstrating that divergence equations are not redundant in electromagnetic applications.

Derivation of equivalent second-order versions for both Navier-Stokes and Maxwell equations using LSFEM.

Simple, efficient and robust method applicable across computational fluid dynamics and electromagnetics problems.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
22 June 1998
Listed Since
15 January 2007

Barcode

No barcode data available

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