Introduction to the Finite Element Method and Implementation with MATLAB

When element size is excessively large compared to the variation of the solution, the approximation over the element becomes insufficient. However, this issue is problem dependent. It is typically considered as a part of the global mesh ...

Introduction to the Finite Element Method and Implementation with MATLAB

Introduction to the Finite Element Method and Implementation with MATLAB

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.

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