4 papers · 1 filter
An Improved Robin-Robin Coupling Method for Parabolic-Parabolic Interface Problems
Erik Burman, Miguel A. Fernandez, Johnny Guzman +1
We consider a loosely coupled, non-iterative Robin-Robin coupling method proposed and analyzed in [Numer. Algorithms, 99:921-948, 2025] for a parabolic-parabolic interface problem.…
Implicit-explicit Crank-Nicolson scheme for Oseen's equation at high Reynolds number
Erik Burman, Deepika Garg, Johnny Guzman
In this paper we continue the work on implicit-explicit (IMEX) time discretizations for the incompressible Oseen equations that we started in \cite{BGG23} (E. Burman, D. Garg, J. G…
A second-order correction method for loosely coupled discretizations applied to parabolic-parabolic interface problems
Erik Burman, Rebecca Durst, Miguel A. Fernández +2
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. Ma…
Estimates of discrete time derivatives for the parabolic-parabolic Robin-Robin coupling method
Erik Burman, Rebecca Durst, Miguel A. Fernández +2
We consider a loosely coupled, non-iterative Robin-Robin coupling method proposed and analyzed in [J. Numer. Math., 31(1):59--77, 2023] for a parabolic-parabolic interface problem…