This book discusses the foundations of the mathematical theory of finite element methods. The focus is on the concept of discrete stability and the exact sequence conforming elements and covers both coercive and non-coercive problems. Following a historical path of development, the author covers the Ritz and the Galerkin methods to Mikhlin's theory, the Lax-Milgram theorem and Cea's lemma to the Babuska theorem and Brezzi's theory, and finishes with an introduction to the discontinuous Petrov-Galerkin method with optimal ...
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This book discusses the foundations of the mathematical theory of finite element methods. The focus is on the concept of discrete stability and the exact sequence conforming elements and covers both coercive and non-coercive problems. Following a historical path of development, the author covers the Ritz and the Galerkin methods to Mikhlin's theory, the Lax-Milgram theorem and Cea's lemma to the Babuska theorem and Brezzi's theory, and finishes with an introduction to the discontinuous Petrov-Galerkin method with optimal test functions. 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. The book is appropriate for courses in real analysis, functional analysis, energy (Sobolev) spaces, and Hilbert space methods for PDEs.
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Add this copy of Mathematical Theory of Finite Elements to cart. $55.00, new condition, Sold by Marriott Library Booksale rated 5.0 out of 5 stars, ships from Salt Lake City, UT, UNITED STATES, published 2023 by Society for Industrial & Applied Mathematics, U.S..
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2023, Society for Industrial & Applied Mathematics,U.S.
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Society for Industrial & Applied Mathematics,U.S.
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2023
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English
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18214791975
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2023, Society for Industrial & Applied Mathematics,U.S.
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2023, Society for Industrial & Applied Mathematics,U.S.
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Society for Industrial & Applied Mathematics,U.S.
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12/31/2023 12: 00: 00 AM
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2023
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