Numerical analysis for a thermoelastic diffusion problem in moving boundary

Analysis of a fully discrete approximation to a moving-boundary problem describing rubber exposed to diffusants

“…This model reminds of the work by Astaluta and collaborators (compare [6] and follow-up papers) on free boundary problems posed in the context of polymeric materials; see [7][8][9][10][11] for classical older works on the topic. We refer the reader to [12] and [13] to a very recent collection of modeling, mathematical analysis, and numerical simulation aspects of movingboundary problems arising in fluid-structure interaction and thermoelastic diffusion scenarios respectively. It is worthwhile to note that in our model the effect of the structure part, i.e.…”