Caboussat, AlexandreDiserens, Léo AurélioPicasso, Marco2025-05-132025-05-132025-05-12202510.1007/978-3-031-86173-4_222-s2.0-105004253387https://infoscience.epfl.ch/handle/20.500.14299/250113We address a simplified time-dependent parabolic problem that arises when modeling both viscoelastic fluids and elastic solids in a unified framework. A priori estimates are obtained for the continuous problem. Then implicit and semi-explicit (EVSS) time discretizations are considered. Stability estimates are obtained for the time-discretized problems. Numerical experiments show that appropriate convergence orders are obtained and that the implicit scheme is more accurate.enfalsetext::conference output::conference proceedings::conference paper