Introduction to the Finite Element Method and Implementation with MATLAB®

An introductory textbook on the Finite Element Method for senior undergraduate and graduate students in engineering disciplines. Each chapter engages students with the comprehensive theory and mathematical framework by manually solving a case study of an engineering problem step by step, followed by a complete implementation in MATLAB®.

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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.