Computation of the LBB Constant for the Stokes Equation with a Least-Squares Finite Element Method

Storn J (2020)
SIAM Journal on Numerical Analysis 58(1): 86-108.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
An investigation of a least-squares finite element method (LSFEM) for the Stokes equation reveals a relation of the Ladyzhenslaya-Babugka-Brezzi (LBB) constant and the ellipticity constants of the LSFEM. While the approximation of the LBB constant with standard numerical methods is challenging, the approximation of the ellipticity constants is in a Rayleigh-Ritz-like environment. This setting is well understood and so allows for an easy-to-implement convergent numerical scheme for the computation of the LBB constant. Numerical experiments with uniform and adaptive mash refinements complement the investigation of this novel scheme.
Erscheinungsjahr
2020
Zeitschriftentitel
SIAM Journal on Numerical Analysis
Band
58
Ausgabe
1
Seite(n)
86-108
ISSN
0036-1429
eISSN
1095-7170
Page URI
https://pub.uni-bielefeld.de/record/2939981

Zitieren

Storn J. Computation of the LBB Constant for the Stokes Equation with a Least-Squares Finite Element Method. SIAM Journal on Numerical Analysis. 2020;58(1):86-108.
Storn, J. (2020). Computation of the LBB Constant for the Stokes Equation with a Least-Squares Finite Element Method. SIAM Journal on Numerical Analysis, 58(1), 86-108. doi:10.1137/18m1231183
Storn, J. (2020). Computation of the LBB Constant for the Stokes Equation with a Least-Squares Finite Element Method. SIAM Journal on Numerical Analysis 58, 86-108.
Storn, J., 2020. Computation of the LBB Constant for the Stokes Equation with a Least-Squares Finite Element Method. SIAM Journal on Numerical Analysis, 58(1), p 86-108.
J. Storn, “Computation of the LBB Constant for the Stokes Equation with a Least-Squares Finite Element Method”, SIAM Journal on Numerical Analysis, vol. 58, 2020, pp. 86-108.
Storn, J.: Computation of the LBB Constant for the Stokes Equation with a Least-Squares Finite Element Method. SIAM Journal on Numerical Analysis. 58, 86-108 (2020).
Storn, Johannes. “Computation of the LBB Constant for the Stokes Equation with a Least-Squares Finite Element Method”. SIAM Journal on Numerical Analysis 58.1 (2020): 86-108.

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