An improved numerical scheme is proposed for advection-dominated advection-diffusion problem. The scheme is based on Galerkin finite element method (FEM) with basis enriched with approximations to residual-free bubbles. The stabilisation effect of the numerical scheme was studied on several benchmark problems with high-Peclet numbers. Comparison to traditional hp-FEM, reveals improved stability and computational performance.
@article{arxiv.1604.03781,
title = {Stabilization with residual-free bubbles for advection-dominated transport equations},
author = {I. Kryven and V. Kukharskyy and Ya. Savula},
journal= {arXiv preprint arXiv:1604.03781},
year = {2016}
}