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Preface

Glossary of Abbreviations

Introduction / 1：

Incompressible Flow / 1.1：

The Finite Element Method / 1.3：

Incompressible Flow and the Finite Element Method / 1.4：

Overview of this Volume / 1.5：

Some Subjective Discussion / 1.6：

Why Finite Elements? Why Not Finite Volumes? / 1.7：

The Advection-Diffusion Equation / 2：

The Continuum Equation / 2.1：

The Finite Element Equations / 2.2：

Discretization of the Weak Form

Some Semi-Discrete Equations / 2.3：

Open Boundary Conditions (OBC's) / 2.4：

Some Non-Galerkin Results / 2.5：

Dispersion, Dissipation, Phase Speed, Group Velocity, Mesh Design, and Wiggles / 2.6：

Time Integration / 2.7：

Additional Numerical Examples / 2.8：

Advection Diffusion Matrices / Appendix 1 Some Element Matrices：

One-Dimensional Element Matrices / A.1.2：

Two-Dimensional Element Matrices / A.1.3：

Two Dimensional Control Volume Finite Element Matrices / A.1.4：

Viewpoint One / Appendix 2 Further Comparison of Finite Elements and Finite Volumes：

Viewpoint Two / A.2.3：

Scalar Projections / Appendix 3 Scalar Projections, Orthogonal and Not and Projection Methods：

References

Author Index

Subject Index

Preface

Glossary of Abbreviations

Introduction / 1：