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Numerical Solution of Partial Differential Equations by the Finite Element Method


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Table of Contents

Preface to the Dover Edition Preface Introduction Introduction to FEM for elliptic problems Abstract formulation of the finite element method for elliptic problems Some finite element spaces Approximation theory for FEM. Error estimates for elliptic problems Some applications to elliptic problems Direct methods for solving linear systems of equations Minimization algorithms. Iterative methods FEM for parabolic problems Hyperbolic problems Boundary element methods Mixed finite element methods Curved elements and numerical integration References Index

About the Author

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

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