Fictitious Domain Finite Element Method for Stokes/Elliptic Interface Problems with Jump Coefficients
Journal of Computational and Applied Mathematics
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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.
Stokes/elliptic; Interface problem; Distributed lagrange multiplier; Fictitious domain method; Mixed finite element; Well-posedness; Optimal error estimate
Fictitious Domain Finite Element Method for Stokes/Elliptic Interface Problems with Jump Coefficients.
Journal of Computational and Applied Mathematics, 356