This text, a companion to the introductory book The Finite Element Method: Basic Concepts and Applications, is intended for the more advanced finite element method course with an emphasis on practical applications." "Here are some highlights: numerous illustrative examples are used throughout to introduce principles and procedures; it includes coverage of advanced topics such as higher order elements; adaptive meshing, including h- and p-adaptivity; nonlinearity; penalty versus mixed methods, and scalar transport equations; while ensuring a solid examination of fluid flow and heat transfer applications, the generality of the finite element method is demonstrated for a variety of other applications; it contains source and executable PC-based program code for two-dimensional FEM problems, with and without convective heat transfer, including mixed and natural convection and simple two-dimensional mesh generation.