We present a stabilised finite element method for the Stokes equations. The stabilisation is based on a biorthogonal system, which preserves the locality of the approach. We present a priori error estimates of the presented scheme and demonstrate some numerical results.
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%0 Journal Article
%1 lamichhane2021local
%A Lamichhane, Bishnu P.
%A Shaw-Carmody, Jordan A.
%D 2021
%J Journal of Computational and Applied Mathematics
%K 76d07-stokes-and-related-oseen-etc-flows 76m10-finite-element-methods-in-fluid-mechanics
%P 113542
%R 10.1016/j.cam.2021.113542
%T A local projection stabilisation finite element method for the Stokes equations using biorthogonal systems
%U https://www.sciencedirect.com/science/article/pii/S0377042721001618
%V 393
%X We present a stabilised finite element method for the Stokes equations. The stabilisation is based on a biorthogonal system, which preserves the locality of the approach. We present a priori error estimates of the presented scheme and demonstrate some numerical results.
@article{lamichhane2021local,
abstract = {We present a stabilised finite element method for the Stokes equations. The stabilisation is based on a biorthogonal system, which preserves the locality of the approach. We present a priori error estimates of the presented scheme and demonstrate some numerical results.},
added-at = {2021-12-03T12:22:03.000+0100},
author = {Lamichhane, Bishnu P. and Shaw-Carmody, Jordan A.},
biburl = {https://www.bibsonomy.org/bibtex/269cdf962205df0e00734e9b274a33ef6/gdmcbain},
doi = {10.1016/j.cam.2021.113542},
interhash = {a393562d52126910e914336bffd01792},
intrahash = {69cdf962205df0e00734e9b274a33ef6},
issn = {0377-0427},
journal = {Journal of Computational and Applied Mathematics},
keywords = {76d07-stokes-and-related-oseen-etc-flows 76m10-finite-element-methods-in-fluid-mechanics},
pages = 113542,
timestamp = {2021-12-03T12:22:03.000+0100},
title = {A local projection stabilisation finite element method for the Stokes equations using biorthogonal systems},
url = {https://www.sciencedirect.com/science/article/pii/S0377042721001618},
volume = 393,
year = 2021
}