This distinctive textbook serves as a professional reference for those
who want to solve partial differential equations using finite element
methods. The author introduces every concept in the simplest possible
setting and maintains a level of treatment that is as rigorous as
possible, without being unnecessarily abstract. Quite a lot of attention
is given to discontinuous finite elements, characteristic finite
elements, and to the applications in fluid and solid mechanics including
applications to porous media flow, and applications to semiconductor
modeling. An extensive set of exercises and references are included in
each chapter.