University Events

Description: "A second-order correction method for loosely coupled discretizations applied to “parabolic interface problems" - Abstract: Fluid-structure interaction (FSI) problems involve the study of how fluids and solid structures behave when they come into contact with each other. These problems are important in many engineering and scientific applications, such as aeronautics, aeroelasticity, aerodynamics, biomechanics, civil engineering, and mechanical engineering. We consider a “parabolic interface problem, a simplified version of FSI, and construct a loosely coupled prediction-correction scheme based on the Robin splitting method analyzed in [J. Numer. Math., 31(1):59, “77, 2023]. We show that the errors of the correction step converge at O((Delta t)^2), under suitable convergence rate assumptions on the discrete time derivative of the prediction step, where Delta t stands for the time-step length. Numerical results are shown to support our analysis and the assumptions. Contact: zchen2@umassd.edu, vvarma@umassd.edu.