Zobrazeno 1 - 10
of 20
pro vyhledávání: '"NEPAL, SURENDRA"'
This work presents global random walk approximations of solutions to one-dimensional Stefan-type moving-boundary problems. We are particularly interested in the case when the moving boundary is driven by an explicit representation of its speed. This
Externí odkaz:
http://arxiv.org/abs/2410.12378
Thinking of flows crossing through regular porous media, we numerically explore the behavior of weak solutions to a two-scale elliptic-parabolic system that is strongly coupled by means of a suitable nonlinear dispersion term. The two-scale system of
Externí odkaz:
http://arxiv.org/abs/2402.09607
We investigate a two-scale system featuring an upscaled parabolic dispersion-reaction equation intimately linked to a family of elliptic cell problems. The system is strongly coupled through a dispersion tensor, which depends on the solutions to the
Externí odkaz:
http://arxiv.org/abs/2311.12251
Publikováno v:
Probabilistic Engineering Mechanics 74 (2023) 103546
For certain materials science scenarios arising in rubber technology, one-dimensional moving boundary problems (MBPs) with kinetic boundary conditions are capable of unveiling the large-time behavior of the diffusants penetration front, giving a dire
Externí odkaz:
http://arxiv.org/abs/2305.08520
Autor:
Nepal, Surendra
We propose a moving-boundary scenario to model the penetration of diffusants into rubbers. Immobilizing the moving boundary by using the well-known Landau transformation transforms the original governing equations into new equations posed in a fixed
Externí odkaz:
http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-89561
Publikováno v:
Applied Mathematics and Computation, Volume 442, 1 April 2023, 127733
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 backw
Externí odkaz:
http://arxiv.org/abs/2203.02725
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 er
Externí odkaz:
http://arxiv.org/abs/2107.01290
Autor:
Nepal, Surendra, Meyer, Robert, Kröger, Nils Hendrik, Aiki, Toyohiko, Muntean, Adrian, Wondmagegne, Yosief, Giese, Ulrich
We propose a moving-boundary scenario to model the penetration of diffusants into dense and foamed rubbers. The presented modelling approach recovers experimental findings related to the diffusion of cyclohexane and the resulting swelling in a piece
Externí odkaz:
http://arxiv.org/abs/2012.07591
Publikováno v:
In Applied Mathematics and Computation 1 April 2023 442
Publikováno v:
Environmental Science & Pollution Research; Aug2024, Vol. 31 Issue 38, p50076-50097, 22p