Bibliographic Details
| Title: |
FORMULATION AND ANALYSIS OF A PARAMETER-FREE STABILIZED FINITE ELEMENT METHOD. |
| Authors: |
BOCHEV, P.1 pbboche@sandia.gov, PEREGO, M.1 mperego@sandia.gov, PETERSON, K.1 kjpeter@sandia.gov |
| Source: |
SIAM Journal on Numerical Analysis. 2015, Vol. 53 Issue 5, p2363-2388. 26p. |
| Subjects: |
Advection-diffusion equations, Finite element method, Numerical analysis, Transport equation, Equations |
| Abstract: |
We present and study a parameter-free stabilized finite element method for the scalar advection-diffusion equation. Edge element lifting of diffusive edge fluxes defines the stabilization. The amount of edge diffusion varies with the edge Peclet number and adapts to solution features without mesh-dependent parameters. We prove that the method is first-order accurate in the advective limit. Numerical studies confirm the theoretical estimates. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
