Distributed Lagrange Multiplier-Fictitious Domain Finite Element Method for Stokes Interface Problems
Year: 2019
Author: Andrew Lundberg, Pengtao Sun, Cheng Wang
International Journal of Numerical Analysis and Modeling, Vol. 16 (2019), Iss. 6 : pp. 939–963
Abstract
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.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2019-IJNAM-13261
International Journal of Numerical Analysis and Modeling, Vol. 16 (2019), Iss. 6 : pp. 939–963
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 25
Keywords: Stokes interface problems jump coefficients distributed Lagrange multiplier fictitious domain method mixed finite element well-posedness error estimates.