Formulation and Analysis of a Parameter-Free Stabilized Finite Element Method

  title={Formulation and Analysis of a Parameter-Free Stabilized Finite Element Method},
  author={Pavel B. Bochev and Mauro Perego and Kara Peterson},
  journal={SIAM J. Numerical Analysis},
We present a stabilized finite element method for the scalar advection-diffusion equation, which does not require tunable mesh-dependent parameters. Stabilization is achieved by using diffusive fluxes extracted from an edge element lifting of Scharfetter-Gummel edge fluxes into the elements. Although the method is formally first-order accurate, qualitative numerical studies suggest that it occupies a middle ground between an artificial diffusion and a streamline-upwind Petrov-Galerkin… CONTINUE READING


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Showing 1-10 of 19 references

A new finite element formulation for computational fluid dynamics: Ii. beyond supg

  • Thomas J.R. Hughes, Michel Mallet, Mizukami Akira
  • Computer Methods in Applied Mechanics and…
  • 1986
Highly Influential
6 Excerpts

A theoretical framework for Petrov-Galerkin methods with discontinuous weighting functions: Application to the streamline-upwind procedure

  • T.J.R. Hughes, A. Brooks
  • Finite Elements in Fluids,
  • 1982
Highly Influential
7 Excerpts

A new control volume finite element method for the stable and accurate solution of the drift–diffusion equations on general unstructured grids

  • Pavel Bochev, Kara Peterson, Xujiao Gao
  • Computer Methods in Applied Mechanics and…
  • 2013
4 Excerpts

A stabilized formulation for the advection-diffusion equation using the generalized finite element method

  • D. Z. Turner, K. B. Nakshatrala, K. D. Hjelmstad
  • International Journal for Numerical Methods in…
  • 2011
1 Excerpt

On the definition of the SUPG parameter

  • P. Knobloch
  • ETNA, 32:76–89,
  • 2008
2 Excerpts

Theory and Practice of Finite Elements. Number 159 in Applied Mathematical Sciences

  • A. Ern, J.-L. Guermond
  • 2004

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