TY - JOUR
T1 - A Hybrid Mortar Method for Incompressible Flow
AU - H. Egger & C. Waluga
JO - International Journal of Numerical Analysis and Modeling
VL - 4
SP - 793
EP - 812
PY - 2012
DA - 2012/09
SN - 9
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/659.html
KW - Stokes equations, interface problems, discontinuous Galerkin methods, hybridization, mortar methods, non-matching grids.
AB - <p style="text-align: justify;">In this paper, we consider the discretization of the Stokes problem
on domain partitions with non-matching meshes. We propose a hybrid mortar
method, which is motivated by a variational characterization of solutions of the
corresponding interface problem. The discretization of the subdomain problems
is based on standard inf-sup stable finite element pairs and additional unknowns
on the interface. These allow to reduce the coupling between subdomains,
which comes from the variational incorporation of interface conditions. The
discrete inf-sup stability condition is proven under weak assumptions on the
interface mesh, and optimal a-priori error estimates are derived with respect to
the energy and $L^2$-norm. The theoretical results are illustrated with numerical
tests.</p>