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On the Vreman filter based stabilization for the advection equation

Author

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  • Dunca, Argus A.
  • Neda, Monika

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.

Suggested Citation

  • Dunca, Argus A. & Neda, Monika, 2015. "On the Vreman filter based stabilization for the advection equation," Applied Mathematics and Computation, Elsevier, vol. 269(C), pages 379-388.
    • Handle: RePEc:eee:apmaco:v:269:y:2015:i:c:p:379-388
    DOI: 10.1016/j.amc.2015.07.083
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