We derive a residual based a posteriori error estimate for the Stokes-Brinkman problem on a two-dimensional polygonal domain. We use Taylor-Hood triangular elements. The link to the possible information on the regularity of the problem is discussed.
@article{702660, title = {An a posteriori error estimate for the Stokes-Brinkman problem in a polygonal domain}, booktitle = {Programs and Algorithms of Numerical Mathematics}, series = {GDML\_Books}, publisher = {Institute of Mathematics AS CR}, address = {Prague}, year = {2015}, pages = {32-40}, url = {http://dml.mathdoc.fr/item/702660} }
Burda, Pavel; Hasal, Martin. An a posteriori error estimate for the Stokes-Brinkman problem in a polygonal domain, dans Programs and Algorithms of Numerical Mathematics, GDML_Books, (2015), pp. 32-40. http://gdmltest.u-ga.fr/item/702660/