Includes bibliographical references (p. 297-308) and index.
The formulation of physical problems -- Field problems and their approximate solutions -- The variational calculus and its application -- The variational method based on the Hilbert space -- Fundamentals of the finite element approach -- The Ritz finite element method (classical) -- The Ritz finite element method (Hilbert space) -- Finite element applications in solid and structural mechanics -- The Laplace or potential field -- Laplace and associated boundary-value problems -- The Helmholtz and wave equations -- The diffusion equation -- Finite element applications to viscous flow -- Finite element applications to compressible flow -- Finite element applications to more general fluid flows -- Other finite element applications -- Appendix A : Matrix algebra -- Appendix B : The differential and integral calculus of matrices -- Appendix C : The transformation matrix.