£107.95

Springer - The Least-Squares Finite Element Method Book

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Description

This comprehensive text provides a detailed introduction to the least-squares finite element method (LSFEM) for the numerical solution of partial differential equations (PDEs). Designed for researchers and students in computational science, the book covers essential theory for first-order systems, with a specific focus on the div-curl and the div-curl-grad system. The content applies LSFEM systematically to permissible boundary conditions for the incompressible Navier-Stokes equations. It also explores how the divergence equations in Maxwell equations function, demonstrating they are not redundant. Furthermore, the text provides methods to derive equivalent second-order versions of both the Navier-Stokes and Maxwell equations. By utilizing LSFEM, users can access a method that is simple, efficient, and robust. This makes it a practical tool for solving a wide range of problems in computational fluid dynamics and electromagnetics. This book serves as a vital resource for anyone working within the Scientific Computation series to improve numerical accuracy and efficiency in complex modeling.

Key Features

Comprehensive coverage of LSFEM theory specifically designed for the numerical solution of partial differential equations (PDEs).

In-depth analysis of first-order systems, including specialized focus on the div-curl and div-curl-grad systems.

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

Technical exploration of Maxwell equations to demonstrate the non-redundant nature of divergence equations.

Provides methodologies to derive equivalent second-order versions of both Navier-Stokes and Maxwell equations.

Offers a simple, efficient, and robust mathematical approach for solving diverse problems in fluid dynamics and electromagnetics.

Product Specifications

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

Barcode

No barcode data available

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