TY - JOUR
T1 - Distributed Lagrange Multiplier-Fictitious Domain Finite Element Method for Stokes Interface Problems
AU - Lundberg , Andrew
AU - Sun , Pengtao
AU - Wang , Cheng
JO - International Journal of Numerical Analysis and Modeling
VL - 6
SP - 939
EP - 963
PY - 2019
DA - 2019/08
SN - 16
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/13261.html
KW - Stokes interface problems, jump coefficients, distributed Lagrange multiplier, fictitious domain method, mixed finite element, well-posedness, error estimates.
AB - <p style="text-align: justify;">In this paper, the distributed Lagrange multiplier-fictitious domain (DLM/FD) finite element method is studied for a type of steady state Stokes interface problems with jump
coefficients, and its well-posedness, stability and optimal convergence properties are analyzed by
proving an $inf$-$sup$ condition for a nested saddle-point problem that is induced by both Stokes equations and DLM/FD method in regard to Stokes variables (velocity and pressure) and Lagrange
multipliers. Numerical experiments validate the obtained convergence theorem of DLM/FD finite
element method for Stokes interface problems with respect to different jump ratios.</p>