Numerical Solution of Partial Differential Equations by the Finite Element Method

Claes Johnson is Professor of Applied Mathematics at the Royal Institute of Technology, Stockholm.

• Preface to the Dover EditionPrefaceIntroductionIntroduction to FEM for elliptic problemsAbstract formulation of the finite element method for elliptic problemsSome finite element spacesApproximation theory for FEM. Error estimates for elliptic problemsSome applications to elliptic problemsDirect methods for solving linear systems of equationsMinimization algorithms. Iterative methodsFEM for parabolic problemsHyperbolic problemsBoundary element methodsMixed finite element methodsCurved elements and numerical integrationReferencesIndex