| Preface to the Third English Edition Preface to the First English Edition Preface to the German Edition Notation Chapter I Introduction 1. Examples and Classification of PDE's 2. The Maximum Principle 3. Finite Difference Methods 4. A Convergence Theory for Difference Methods Chapter II Conforming Finite Elements 1. Sobolev Spaces 2. Variational Formulation of Elliptic Boundary-Value Problems of 3. The Neumann Boundary-Value Problem. A Trace Theorem 4. The Ritz-Galerkin Method and Some Finite Elements 5. Some Standard Finite Elements 6. Approximation Properties 7. Error Bounds for Elliptic Problems of Second Order 8. Computational Considerations Chapter III Nonconforming and Other Methods 1. Abstract Lemmas and a Simple Boundary Approximation 2. Isoparametric Elements 3. Further Tools from Functional Analysis 4. Saddle Point Problems …… Chapter IV The Conjugate Gradient Method Chapter V Multigrid Methods Chapter VI Finite Elements in Solind Mechanics References Index |
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