## Finite Element Approximation of the FENE-P Model

*Barrett, John*;

*Boyaval, Sébastien*;

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

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 $\subset$ R d , d = 2 or 3$, subject to no flow boundar... View more

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