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Introduction to the finite element method and implementation with MATLAB. (English) Zbl 1455.65001

Cambridge: Cambridge University Press (ISBN 978-1-108-47168-8/hbk; 978-1-108-55905-8/ebook). xiii, 509 p. (2021).
Publisher’s description: Connecting theory with numerical techniques using MATLAB, this practical textbook equips students with the tools required to solve finite element problems. This hands-on guide covers a wide range of engineering problems through nine well-structured chapters including solid mechanics, heat transfer and fluid dynamics; equilibrium, steady state and transient; and 1-D, 2-D and 3-D problems. Engineering problems are discussed using case study examples, which are solved using a systematic approach, both by examining the steps manually and by implementing a complete MATLAB code. This topical coverage is supplemented by discourse on meshing with a detailed explanation and implementation of 2-D meshing algorithms. Introducing theory and numerical techniques alongside comprehensive examples this text increases engagement and provides students with the confidence needed to implement their own computer codes to solve given problems.

MSC:

65-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis
65L60 Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
00A06 Mathematics for nonmathematicians (engineering, social sciences, etc.)
00A79 Physics
65-04 Software, source code, etc. for problems pertaining to numerical analysis

Software:

Matlab
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