Mathematical Theory of Finite Elements, 9781611977721
Paperback
Unlocking finite elements: Stability, exact sequences, and powerful solution methods.

Mathematical Theory of Finite Elements

$172.58

  • Paperback

    216 pages

  • Release Date

    30 December 2023

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Summary

Finite Element Methods: A Mathematical Foundation

This book explores the mathematical theory underpinning finite element methods. Emphasizing discrete stability and exact sequence conforming elements, it addresses both coercive and non-coercive problems.

Tracing a historical progression, the author navigates from the Ritz and Galerkin methods to Mikhlin’s theory, the Lax-Milgram theorem and Cea’s lemma to the Babuska theorem and Brezzi’s theory, culminating in an introductio…

Book Details

ISBN-13:9781611977721
ISBN-10:161197772X
Series:Computational Science and Engineering
Author:Leszek F. Demkowicz
Publisher:Society for Industrial & Applied Mathematics,U.S.
Imprint:Society for Industrial & Applied Mathematics,U.S.
Format:Paperback
Number of Pages:216
Release Date:30 December 2023
Weight:182g
About The Author

Leszek F. Demkowicz

Leszek F. Demkowicz is Assistant Director of the Oden Institute for Computational Engineering and Sciences, holder of the W. A. “Tex” Moncrief, Jr. Chair in Computational Engineering and Sciences II, Professor in the Department of Aerospace Engineering and Engineering Mechanics and the Department of Mathematics at The University of Texas at Austin. He has authored and co-authored over 220 articles and several books. He co-invented, with Jay Gopalakrishnan of Portland State University, the discontinuous Petrov Galerkin method. The recipient of several awards, he is a Fellow of both IACM and USACM, an honorary member of PACM, and a foreign member of the Polish Academy of Arts and Sciences. His scientific interests include numerical analysis, adaptive finite element methods, wave propagation problems, including acoustics, elastodynamics and electromagnetics, and computational fluid dynamics.

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