Finite Element Approximation of Boundary Value Problems

Franz Chouly

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English

Birkhauser Verlag AG
07 November 2024

Differential calculus & equations; Numerical analysis

Series: Compact Textbooks in Mathematics

This textbook provides an accessible introduction to the mathematical foundations of the finite element method for a broad audience. The author accomplishes this, in part, by including numerous exercises and illustrations. Each chapter begins with a clear outline to help make complex concepts more approachable without sacrificing depth. Structurally, the book begins with the simplest type of finite element method: low order, piecewise continuous, Lagrange finite elements. With this, crucial questions about the stability and approximation errors are answered. Of particular note is the author’s coverage of two specific topics that often go overlooked in introductory material. The first is the numerical treatment of boundary conditions, especially the Nitsche technique. The second is a detailed explanation of the discretization error using specific techniques of a posteriori error estimation. With the book’s compact yet thorough treatment of these areas, readers will have a clear understanding of how mathematical analysis tools can be used in practice. Finite Element Approximation of Boundary Value Problems will be suitable as a supplementary textbook in applied mathematics courses for graduate students, and may also be used for self-study.

By: Franz Chouly
Imprint: Birkhauser Verlag AG
Country of Publication: Switzerland
Edition: 2024 ed.
Dimensions: Height: 235mm, Width: 155mm,
ISBN: 9783031725296
ISBN 10: 3031725298
Series: Compact Textbooks in Mathematics
Pages: 153
Publication Date: 07 November 2024
Audience: College/higher education , Further / Higher Education
Format: Paperback
Publisher's Status: Active

Franz Chouly is professor at the Center of Mathematics of the University of the Republic. His research is on mathematical modeling and numerical analysis of partial differential equations, with emphasis on finite element methods and variational inequalities.

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Finite Element Approximation of Boundary Value Problems

Franz Chouly

$94.95 $81.12

Paperback

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