Adaptive Numerical Methods for Transport Dominated Processesby Alfio Quarteroni, Polytechnic of Milan, Cagliari, Italy,
Abstract: The numerical approximation of processes of transport and diffusion can be very challenging when the diffusion is small compared to the convection. Standard Galerkin methods need to be stabilized in order to eliminate spurious oscillations. We review some techniques that have been proposed in recent years which eliminate numerical oscillations without downgrading the accuracy of the numerical solution.
Subject Headings: Finite element method | Finite difference method | Oscillations | Diffusion | Numerical models | Approximation methods | Adaptive systems
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