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Modified Streamline Diffusion Schemes for Convection-Diffusion Problems

dc.contributor.authorElman, H. C.en_US
dc.contributor.authorShih, Y.-T.en_US
dc.description.abstractWe consider the design of robust and accurate finite element approximation methods for solving convection--diffusion problems. We develop some two--parameter streamline diffusion schemes with piecewise bilinear (or linear) trial functions and show that these schemes satisfy the necessary conditions for $L^{2}$-uniform convergence of order greater than $1/2$ introduced by Stynes and Tobiska. For smooth problems, the schemes satisfy error bounds of the form $O(h)|u|_{2}$ in an energy norm. In addition, extensive numerical experiments show that they effectively reproduce boundary layers and internal layers caused by discontinuities on relatively coarse grids, without any requirements on alignment of flow and grid. (Also cross-referenced as UMIACS-TR-97-71)en_US
dc.format.extent869440 bytes
dc.relation.ispartofseriesUM Computer Science Department; CS-TR-3835en_US
dc.relation.ispartofseriesUMIACS; UMIACS-TR-97-71en_US
dc.titleModified Streamline Diffusion Schemes for Convection-Diffusion Problemsen_US
dc.typeTechnical Reporten_US
dc.relation.isAvailableAtDigital Repository at the University of Marylanden_US
dc.relation.isAvailableAtUniversity of Maryland (College Park, Md.)en_US
dc.relation.isAvailableAtTech Reports in Computer Science and Engineeringen_US
dc.relation.isAvailableAtUMIACS Technical Reportsen_US

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