Stabilization of Galerkin approximations of transport equations by subgrid modeling 论文

1999ESAIM Mathematical Modelling and Numerical Analysis引用 282
Advanced Numerical Methods in Computational MathematicsAdvanced Mathematical Modeling in EngineeringNumerical methods for differential equations

摘要

This paper presents a stabilization technique for approximating transport equations. The key idea consists in introducing an artificial diffusion based on a two-level decomposition of the approximation space. The technique is proved to have stability and convergence properties that are similar to that of the streamline diffusion method.