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Springer - The Least-Squares Finite Element Method Textbook

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Description

Explore a comprehensive introduction to the least-squares finite element method (LSFEM) for the numerical solution of PDEs. This scientific computation text provides a deep dive into the theory for first-order systems, with a specific focus on the div-curl and the div-curl-grad system. This book demonstrates how LSFEM is applied systematically to permissible boundary conditions for the incompressible Navier-Stokes equations. It also explains why the divergence equations in the Maxwell equations are not redundant and provides the derivation for equivalent second-order versions of both the Navier-Stokes and Maxwell equations. Designed for researchers and students in computational fluid dynamics and electromagnetics, LSFEM offers a simple, efficient, and robust approach to solving a wide range of problems. Whether you are studying complex fluid motion or electromagnetic fields, this Springer publication serves as a foundational resource for mastering advanced numerical methods.

Key Features

Covers essential theory for first-order systems, including the div-curl and div-curl-grad systems for PDE solutions.

Provides systematic applications of LSFEM to permissible boundary conditions for incompressible Navier-Stokes equations.

Explains the non-redundant nature of divergence equations within Maxwell equations for better computational accuracy.

Includes derivations for equivalent second-order versions of the Navier-Stokes and Maxwell equations.

Offers a simple, efficient, and robust numerical method suitable for a wide range of computational problems.

Serves as a specialized resource for fields involving computational fluid dynamics and electromagnetics.

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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