Friday, October 11th 2024
11:00 AM - 12:00 PM
Stratton Hall 202
Title: A second-order correction method for loosely coupled discretizations applied to parabolic-parabolic interface problems
Abstract:We consider a parabolic-parabolic interface problem and construct a
loosely coupled prediction-correction scheme based on the Robin-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((Δt)2), under
suitable convergence rate assumptions on the discrete time derivative of
the prediction step, where Δt stands for the time-step length. Numerical
results are shown to support our analysis and the assumptions
