Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4645126 | Applied Numerical Mathematics | 2014 | 7 Pages |
Abstract
The two-level local projection stabilization with the pair (Qr,h,Qrâ1,2hdisc), râ¥1, of spaces of continuous, piecewise (mapped) polynomials of degree r on the mesh Th in each variable and discontinuous, piecewise (mapped) polynomials of degree râ1 on the macro mesh Mh in each variable satisfy a local inf-sup condition leading to optimal error estimates. In this note, we show that even the pair of spaces (Qr,h,Qr,2hdisc), râ¥2, with the enriched projection space Qr,2hdisc satisfies the local inf-sup condition and can be used in this framework. This gives a new, alternative proof of the inf-sup condition for the pair (Qr,h,Qrâ1,2hdisc) in higher order cases râ¥2.
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
Lutz Tobiska,