This textbook introduces the finite-element method as an important general technique in engineering mathematics.
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First published in 1983, this textbook introduces the finite-element method as an important general technique in engineering mathematics. It is written for students who have already completed a general course of vector calculus, matrix algebra and partial differential equations. The treatment introduced in this book will provide a secure foundation for more specialised work.
Preface; 1. Preliminaries; 2. The finite-element method introduced; 3. Elastic stress analysis using linear triangular elements; 4. Higher-order approximations: (1) fixed element shapes; 5. Higher-order approximations: (2) generalising the element geometry; 6. Axial symmetry and harmonic analysis; 7. The elastic analysis of beams, plates and shells; 8. Programming the finite-element method; References; Notation; Index.
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