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math.NA2017★ 9 cited
Gradient flow dynamics of two-phase biomembranes: Sharp interface variational formulation and finite element approximation
John W. Barrett, Harald Garcke, Robert Nürnberg
A finite element method for the evolution of a two-phase membrane in a sharp interface formulation is introduced. The evolution equations are given as an --gradient flow of an…
math.NA2017
Finite Element Approximation of the FENE-P Model
John Barrett, Sébastien Boyaval
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 polym…