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

Surendra Nepal, Yosief Wondmagegne and Adrian Muntean

Applied Mathematics and Computation, 2023, vol. 442, issue C

Abstract: We present a fully discrete scheme for the numerical approximation of a moving-boundary problem describing diffusants penetration into rubber. Our scheme utilizes the Galerkin finite element method for the space discretization combined with the backward Euler method for the time discretization. Besides dealing with the existence and uniqueness of solution to the fully discrete problem, we assume sufficient regularity for the solution to the target moving boundary problem and derive a a priori error estimates for the mass concentration of the diffusants, and respectively, for the position of the moving boundary. Our numerical results illustrate the obtained theoretical order of convergence in physical parameter regimes.

Keywords: Moving-boundary problem; Finite element approximation; Fully discrete approximation; A priori error estimate (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:442:y:2023:i:c:s0096300322008013

DOI: 10.1016/j.amc.2022.127733

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