## An examination of some properties of the streamline diffusion method |

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### Contents

THE SPECIAL CASE OF AN ALIGNED MESH | 26 |

NONALIGNED MESHES | 57 |

ESTIMATING THE NORMAL OUTFLOW DERIVATIVE | 79 |

Copyright | |

2 other sections not shown

### Common terms and phrases

algorithm aligned mesh antiderivate assume basis functions bilinear form boundary conditions bounded independent computed constant construct convection Convection-Diffusion Problems corner Crosscut picture crosswind smear curve defined domain and mesh downstream layer elliptic operator equation 3.9 exponential decay Figure 19 Finite Element Method Galerkin method hence hyperbolic integrating internal layer internal numerical layer LAYER MEASUREMENTS Layer Sizes Lemma MEASUREMENTS FOR EXPERIMENT node N(i,j Node numbering Normal Outflow Derivative numerical boundary layer numerical crosswind layer numerical experiments numerical solution obtain oscillations outflow boundary Outflow Derivative Approximation parametrized piecewise bilinears pollution absorbant mesh Quadratic domain quadrature rule quadrilateral domain reaction-diffusion problem recurrence relation reduced equation relative error satisfies SDM formulation SDM solution seminorm Sh(ft Sizes for Experiment smooth solution for Experiment solve stagnation points stencil associated stencil equation Streamline Diffusion Method Subdomain term Theorem 2.1 tolerances uniform square mesh Wahlbin