Volume 16, Issue 6
Distributed Lagrange Multiplier-Fictitious Domain Finite Element Method for Stokes Interface Problems

Andrew Lundberg ,  Pengtao Sun and Cheng Wang

Int. J. Numer. Anal. Mod., 16 (2019), pp. 939-963.

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  • 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.

  • History

Published online: 2019-08

  • AMS Subject Headings

65N30, 65R20

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