Incompressible Flow & the Finite Element Method – Advection–Diffusion V 1

Preface
<br /> Glossary of Abbreviations
<br /> 1. Introduction
<br /> 1.1 Introduction
<br /> 1.2 Incompressible Flow
<br /> 1.3 The Finite Element Method
<br /> 1.4 Incompressible Flow and the Finite Element Method
<br /> 1.5 Overview of this Volume
<br /> 1.6 Some Subjective Discussion
<br /> 1.7 Why Finite Elements? Why Not Finite Volumes?
<br /> 2. The Advection–Diffusion Equation
<br /> 2.1 The Continuum Equation
<br /> 2.2 The Finite Element Equations /
<br /> Discretization of the Weak Form
<br /> 2.3 Some Semi–Discrete Equations
<br /> 2.4 Open Boundary Conditions (OBC′s)
<br /> 2.5 Some Non–Galerkin Results
<br /> 2.6 Dispersion, Dissipation, Phase Speed, Group Velocity, Mesh Design, and Wiggles
<br /> 2.7 Time Integration
<br /> 2.8 Additional Numerical Examples
<br /> Appendix 1 Some Element Matrices
<br /> A.1.1 Advection Diffusion Matrices
<br /> A.1.2 One–Dimensional Element Matrices
<br /> A.1.3 Two–Dimensional Element Matrices
<br /> A.1.4 Two Dimensional Control Volume Finite Element Matrices
<br /> Appendix 2 Further Comparison of Finite Elements and Finite Volumes
<br /> A.2.1 Introduction
<br /> A.2.2 Viewpoint One
<br /> A.2.3 Viewpoint Two
<br /> Appendix 3 Scalar Projections, Orthogonal and Not and
<br /> Projection Methods
<br /> A.3.1 Introduction
<br /> A.3.2 Scalar Projections
<br /> References
<br /> Author Index
<br /> Subject Index