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Details for:
Demkowic L. Mathematical Theory of Finite Elements 2024
demkowic l mathematical theory finite elements 2024
Type:
E-books
Files:
4
Size:
69.2 MB
Uploaded On:
Oct. 25, 2024, 10:58 a.m.
Added By:
andryold1
Seeders:
15
Leechers:
0
Info Hash:
B56635DC1246E30FEA4DF30BFE802F8E4700A85D
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Textbook in PDF format This book discusses the foundations of the mathematical theory of finite element methods. The focus is on two subjects: the concept of discrete stability, and the theory of conforming elements forming the exact sequence. Both coercive and noncoercive problems are discussed.. Following the historical path of development, the author covers the Ritz and Galerkin methods to Mikhlin’s theory, followed by the Lax–Milgram theorem and Cea’s lemma to the Babuska theorem and Brezzi’s theory. He finishes with an introduction to the discontinuous Petrov–Galerkin (DPG) method with optimal test functions. Based on the author’s personal lecture notes for a popular version of his graduate course on mathematical theory of finite elements, the book includes a unique exposition of the concept of discrete stability and the means to guarantee it, a coherent presentation of finite elements forming the exact grad-curl-div sequence, and an introduction to the DPG method. Intended for graduate students in computational science, engineering, and mathematics programs, Mathematical Theory of Finite Elements is also appropriate for graduate mathematics and mathematically oriented engineering students. Instructors will find the book useful for courses in real analysis, functional analysis, energy (Sobolev) spaces, and Hilbert space methods for PDEs
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Demkowic L. Mathematical Theory of Finite Elements 2024.pdf
8.5 MB
Brenner S. The Mathematical Theory of Finite Element Methods 2007.pdf
10.6 MB
Oden J. An Introduction to the Mathematical Theory of Finite Elements 1976.pdf
14.8 MB
Ern A. Theory and Practice of Finite Elements 2004.pdf
35.3 MB
