Finite Elements

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Uniting weak form theory fundamentals with hands-on computer practice, this book gives readers a firm appreciation of control of error mechanisms that underlie discrete approximation algorithms in the engineering sciences. The focus is rigorous computable formulations relevant to the computational engineering sciences, discretely implemented via finite element (FE) trial space bases, for a diverse range of topics including, solid mechanics and vibrations, heat conduction and heat transfer, fluid mechanics and heat/mass convective transport. It provides a holistic view of the topic ranging distinct engineering problem statements that can be solved via weak form based FE algorithms, to each specific development completely implemented for computing. Additional computational aspects of FE methodology are provided at a companion website facilitating broadly coupled engineering multi-physics implementations. Key features:- * Avoids abstract mathematical concepts while emphasising the integration of theory with discrete computational implementation via calculus * Website features eight topical lectures from the author's own academic course * Takes a cross-discipline continuum mechanics viewpoint * Includes Matlab toolbox and .m files, downloadable from a companion website, immediately enabling hands-on computing in all covered disciplines