Abstract
In this paper, the distributed Lagrange multiplier/fictitious domain (DLM/FD) finite element method is studied for a generic Stokes/elliptic interface problem with jump coefficients which belongs to a type of linearized stationary fluid–structure interaction problem. A mixed finite element discretization is developed for the proposed DLM/FD method for Stokes/elliptic interface problem and analyzed on the aspects of well-posedness, stability and optimal convergence. Numerical experiments are carried out and the theoretical error estimates of DLM/FD finite element method are validated. • Distributed Lagrange multiplier/fictitious domain finite element method. • Stokes/elliptic interface problem with jump coefficients. • A linearized steady state fluid–structure interaction problem. • New DLM/FD formulation for the incompressible fluid and compressible structure interaction. • Well-posedness, stability and convergence are analyzed for mixed finite elements.
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