An Analysis of the Finite Element Method 2nd Edition

A classic in the understanding of finite methods, this book spotlights finite element techniques theoretically and practically. The new Part II makes clear each step in using the finite element method: weak form of the equation, choice of trial and test functions, assembly of the stiffness matrix K (including MATLAB codes), and solution of KU=F. The book explains the three leading forms of finite element computations: the displacement method (assembled from element matrices); the mixed method for velocity and pressure (and the inf-sup condition); the Discontinuous Galerkin method--conservation laws & flux functions There are suggested exercises taken from the new book Computational Science and Engineering (also written by Gilbert Strang and published by Wellesley-Cambridge Press and SIAM).