Publication

Numerical Analysis of a Simplified Unified Model for Viscoelastic Fluids and Elastic Solids

Marco Picasso, Léo Aurélio Diserens
2025

Abstract

We 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.

Official source

https://infoscience.epfl.ch/entities/publication/115d9b39-ab9a-4761-bf0f-c80c8104a163

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Numerical Analysis of a Simplified Unified Model for Viscoelastic Fluids and Elastic Solids

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