Advances on finite element discretization of fluid–structure interaction problems

Key Points

• The study finds improved stability and convergence in the unfitted finite element method for fluid-structure interaction problems, enhancing computational efficiency.
• Key theoretical results include well-posedness and a posteriori error estimates, supporting the robustness of the proposed numerical schemes.
• The method employs a distributed Lagrange multiplier and addresses computational challenges, offering a novel approach based on the fictitious domain method.
• Findings underline the importance of addressing error estimates for elliptic interface problems in fluid-structure interactions, aiming for enhanced accuracy.