TY  - EJOU
AU  - Lundberg, Andrew 
AU  - Sun, Pengtao 
AU  - Wang, Cheng 
AU  - Zhang, Chen-song 

TI  - Distributed Lagrange Multiplier/Fictitious Domain Finite Element Method for a Transient Stokes Interface Problem with Jump Coefficients
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2019
VL  - 119
IS  - 1
SN  - 1526-1506

AB  - The distributed Lagrange multiplier/fictitious domain (DLM/FD)-mixed finite element method is developed and analyzed in this paper for a transient Stokes interface problem with jump coefficients. The semi- and fully discrete DLM/FD-mixed finite element scheme are developed for the first time for this problem with a moving interface, where the arbitrary Lagrangian-Eulerian (ALE) technique is employed to deal with the moving and immersed subdomain. Stability and optimal convergence properties are obtained for both schemes. Numerical experiments are carried out for different scenarios of jump coefficients, and all theoretical results are validated.
KW  - Transient Stokes interface problem
KW  -  jump coefficients
KW  -  distributed Lagrange multiplier
KW  -  fictitious domain method
KW  -  mixed finite element
KW  -  an optimal error estimate
KW  -  stability

DO  - 10.32604/cmes.2019.04804