Identifying initial condition of the Rayleigh‐Stokes problem with random noise
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.5455
Abstract: We investigate a backward problem for the Rayleigh‐Stokes problem, which aims to determine the initial status of some physical field such as temperature for slow diffusion from its present measurement data. This problem is well‐known… read more here.
Keywords: problem; solution; random noise; rayleigh stokes ... See more keywords
Uniformly Convergent Cubic Nonconforming Element For Darcy–Stokes Problem
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DOI: 10.1007/s10915-016-0353-z
Abstract: In this paper we construct a cubic element named DSC33 for the Darcy–Stokes problem of three-dimensional space. The finite element space $${{\varvec{V}}}_{h}$$Vh for velocity is -conforming, i.e., the normal component of a function in $${{\varvec{V}}}_{h}$$Vh… read more here.
Keywords: darcy stokes; element; uniformly convergent; stokes problem ... See more keywords
A posteriori error estimates for the Stokes problem with singular sources
Sign Up to like & getrecommendations! Published in 2019 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2018.11.004
Abstract: Abstract We propose a posteriori error estimators for classical low-order inf–sup stable and stabilized finite element approximations of the Stokes problem with singular sources in two and three dimensional Lipschitz, but not necessarily convex, polytopal… read more here.
Keywords: error; stokes problem; singular sources; posteriori error ... See more keywords
Identifying of unknown source term for the Rayleigh-Stokes problem
Sign Up to like & getrecommendations! Published in 2023 at "Thermal Science"
DOI: 10.2298/tsci23s1273p
Abstract: In this paper, we would like to briefly introduce some applications of fractional derivatives in the fields of heat and fluid-flows. However, our main focus is on study an inverse source problem for the Rayleigh-Stokes… read more here.
Keywords: problem; unknown source; identifying unknown; rayleigh stokes ... See more keywords