@Article{IJNAM-2-3,
author = {J.-L., Guermond},
title = {Nonstandard Nonconforming Approximation of the Stokes Problem, I: Periodic Boundary Conditions},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2005},
volume = {2},
number = {3},
pages = {345--354},
abstract = {<p style="text-align: justify;">This paper analyzes a nonstandard form of the Stokes problem
where the mass conservation equation is expressed in the form of a
Poisson equation for the pressure. This problem is shown to be well-posed
in the $d$-dimensional torus. A nonconforming approximation is proposed and,
contrary to what happens when using the standard saddle-point
formulation, the proposed setting is shown to yield optimal convergence
for every pairs of approximation spaces.</p>},
issn = {2617-8710},
doi = {https://doi.org/2005-IJNAM-935},
url = {https://global-sci.com/article/83862/nonstandard-nonconforming-approximation-of-the-stokes-problem-i-periodic-boundary-conditions}
}