## Finite Element Approximation of the FENE-P Model

*Barrett , John ,*;

*Boyaval , Sébastien*;

- Publisher: HAL CCSD
- Subject: FENE-P model | entropy | finite element method | convergence analysis | stress diffusion | existence of weak solutions | AMS Subject Classification: 35Q30, 65M12, 65M60, 76A10, 76M10, 82D60 | [ MATH.MATH-NA ] Mathematics [math]/Numerical Analysis [math.NA]

We extend our analysis on the Oldroyd-B model in Barrett and Boyaval [1] to consider the finite element approximation of the FENE-P system of equations, which models a dilute polymeric fluid, in a bounded domain $D ⊂ R d , d = 2 or 3$, subject to no flow boundary condit... View more

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