Loading... Please wait...

Finite Element Exterior Calculus

Hover over image to zoom

Order Code:

 Product Description

by Douglas N. Arnold


2018 / xii + 120 pages / Softcover / 978-1-611975-53-6 / List $54.00 / SIAM Member $37.80 / SIAM Member $48.30 / Order Code: CB93

Keywords: finite element method, mixed method, PDE, finite element exterior calculus, de Rham complex, Hodge theory, thermodynamics, fluid flow, solid deformation, elasticity, electricity and magnetism, numerical methods


Computational methods to approximate the solution of differential equations play a crucial role in science, engineering, mathematics, and technology. The key processes that govern the physical world—wave propagation, thermodynamics, fluid flow, solid deformation, electricity and magnetism, quantum mechanics, general relativity, and many more—are described by differential equations. We depend on numerical methods for the ability to simulate, explore, predict, and control systems involving these processes.

The finite element exterior calculus, or FEEC, is a powerful new theoretical approach to the design and understanding of numerical methods to solve partial differential equations (PDEs). The methods derived with FEEC preserve crucial geometric and topological structures underlying the equations and are among the most successful examples of structure-preserving methods in numerical PDEs. This volume aims to help numerical analysts master the fundamentals of FEEC, including the geometrical and functional analysis preliminaries, quickly and in one place. It is also accessible to mathematicians and students of mathematics from areas other than numerical analysis who are interested in understanding how techniques from geometry and topology play a role in numerical PDEs.

About the Author
Douglas N. Arnold is McKnight Presidential Professor of Mathematics at the University of Minnesota. He is a mathematician and educator whose research focuses on numerical analysis, PDEs, mechanics, and the interplay among these fields. He is known as the originator of FEEC, first presented in his plenary lecture at the International Congress of Mathematicians in 2002. Professor Arnold's many accomplishments include the award of a Guggenheim Fellowship; election as a foreign member of the Norwegian Academy of Science and Letters; Fellowship in the Society for Industrial and Applied Mathematics (SIAM), the American Association for the Advancement of Science (AAAS), and the American Mathematical Society (AMS); and serving as president of SIAM and director of the Institute of Mathematics and Its Applications (IMA). He received the SIAM Prize for Distinguished Service to the Profession and the J. Tinsley Oden Medal of the U.S. Association for Computational Mechanics. In 2007 he coauthored an award-winning video, "Möbius Transformations Revealed," which has garnered over two million views on YouTube.


ISBN 9781611975536

 Find Similar Products by Category

Vendors Other Products

 Product Reviews

This product hasn't received any reviews yet. Be the first to review this product!

You Recently Viewed...



Follow us on

Copyright 2018 SIAM Bookstore. All Rights Reserved.
Sitemap | BigCommerce Premium Themes by PSDCenter

Society for Industrial and Applied Mathematics 3600 Market St., 6th Fl. Philadelphia, PA 19104-2688 USA +1-215-382-9800 FAX: +1-215-386-7999 www.siam.org email: siambooks@siam.org

Click the button below to add the Finite Element Exterior Calculus to your wish list.