This text introduces mathematical foundations, developing them coherently and rigorously to reveal the method's broad applications. It emphasizes use of the variational approach, providing appendixes on variational calculus and matrix algebra for a self-contained treatment. Detailed examples employ Poisson's equations and the general Sturm-Liouville problem. 1977 edition. Reprint of the MIT Press, Cambridge, Massachusetts, 1977 edition.
Finite Elements and Approximation by O. C. Zienkiewicz, K. Morgan This book offers students of engineering and physics a comprehensive view of the principles involved in the finite element, with numerous illustrative examples and exercises. 1983 edition.
The Finite Element Method: Linear Static and Dynamic Finite Element Analysis by Thomas J. R. Hughes Text for students without in-depth mathematical training, this text includes a comprehensive presentation and analysis of algorithms of time-dependent phenomena plus beam, plate, and shell theories. Solution guide available upon request.
