Preface(2ndEd)*Preface(1stED)*Basic Concepts*Sobolev Spaces*Variational Formulation of Elliptic Boundary Value Problems*The Construction of a Finite Element of Space*Polynomial Approximation Theory in Sobolev Spaces*n-Dimensional Variational Problems*Finite Element Multigrid Methods*Additive Schwarz Preconditioners*Max-norm Estimates*Adaptive Meshes*Variational Crimes*Applications to Planar Elasticity*Mixed Methods*Iterative Techniques for Mixed Methods*Applications of Operator-Interpolation Theory*References*Index

A rigorous and thorough mathematical introduction to the subject; A clear and concise treatment of modern fast solution techniques such as multigrid and domain decomposition algorithms; Second edition contains two new chapters, as well as many new exercises; Previous edition sold over 3000 copies worldwide