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The Sixth Edition of this influential best-selling book delivers the most up-to-date and comprehensive text and reference yet on the basis of the finite element method (FEM) for all engineers and mathematicians. Since the appearance of the first edition 38 years ago, The Finite Element Method provides arguably the most authoritative introductory text to the method, covering the latest developments and approaches in this dynamic subject, and is amply supplemented by exercises, worked solutions and computer algorithms. The classic FEM text, written by the subjects leading authors Enhancements include materials to assist in learning basic theory, more worked examples and exercises, plus a companion website with a solutions manual and downloadable codes A new chapter on automatic mesh generation and added materials on shape function development, the direct physical approach to the solution of elasticity problems, expanded description to solve multidomain approximations and the use of higher order elements in solving elasticity and field problems The Finite Element Method maintains the comprehensive style of earlier editions and presents a systematic approach to the solution of problems modelled by linear differential equations. Together with the second and third self-contained volumes, The Finite Element Method Set provides a formidable resource covering the theory and the application of FEM, including the basis of the method, its application to advanced solid and structural mechanics and to computational fluid dynamics.