On the Vreman filter based stabilization for the advection equation

Argus A. Dunca and Monika Neda

Applied Mathematics and Computation, 2015, vol. 269, issue C, 379-388

Abstract: This report investigates a stabilization method for first order hyperbolic differential equations. If the usual unstabilized finite element method is used to solve numerically first order hyperbolics on unstructured meshes using general elements, it is expected a loss of accuracy by one power of the mesh size and also for non-smooth solutions the computed approximation might contain spurious oscillations.

Keywords: Advection equation; Filter based stabilization; Finite element method; First order hyperbolic systems (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:269:y:2015:i:c:p:379-388

DOI: 10.1016/j.amc.2015.07.083

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