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Error estimates for...
Error estimates for semi-discrete finite element approximations for a moving boundary problem capturing the penetration of diffusants into rubber
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- Nepal, Surendra (författare)
- Karlstads universitet,Institutionen för matematik och datavetenskap (from 2013)
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- Wondmagegne, Yosief (författare)
- Karlstads universitet,Institutionen för matematik och datavetenskap (from 2013)
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- Muntean, Adrian, 1974- (författare)
- Karlstads universitet,Institutionen för matematik och datavetenskap (from 2013)
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(creator_code:org_t)
- ISCI-INST SCIENTIFIC COMPUTING & INFORMATION, 2022
- 2022
- Engelska.
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Ingår i: International Journal of Numerical Analysis & Modeling. - : ISCI-INST SCIENTIFIC COMPUTING & INFORMATION. - 1705-5105. ; 19:1, s. 101-125
- Relaterad länk:
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http://www.math.ualb...
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https://urn.kb.se/re...
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Abstract
Ämnesord
Stäng
- We consider a moving boundary problem with kinetic condition that describes the diffusion of solvent into rubber and study semi-discrete finite element approximations of the corresponding weak solutions. We report on both a priori and a posteriori error estimates for the mass concentration of the diffusants, and respectively, for the a priori unknown position of the moving boundary. Our working techniques include integral and energy-based estimates for a nonlinear parabolic problem posed in a transformed fixed domain combined with a suitable use of the interpolation-trace inequality to handle the interface terms. Numerical illustrations of our FEM approximations are within the experimental range and show good agreement with our theoretical investigation. This work is a preliminary investigation necessary before extending the current moving boundary modeling to account explicitly for the mechanics of hyperelastic rods to capture a directional swelling of the underlying elastomer.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- Moving boundary problem
- finite element method
- method of lines
- a priori error estimate
- a posteriori error estimate
- diffusion of chemicals into rubber
- Matematik
- Mathematics
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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