@Article{IJNAM-16-6,
author = {Lundberg, Andrew and Sun, Pengtao and Wang, Cheng},
title = {Distributed Lagrange Multiplier-Fictitious Domain Finite Element Method for Stokes Interface Problems},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2019},
volume = {16},
number = {6},
pages = {939--963},
abstract = {<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>},
issn = {2617-8710},
doi = {https://doi.org/2019-IJNAM-13261},
url = {https://global-sci.com/article/83085/distributed-lagrange-multiplier-fictitious-domain-finite-element-method-for-stokes-interface-problems}
}