14 citations · 45 across the 26 of their papers we have counts for
5 papers · 1 filter
A finite element method for a non-Newtonian dilute polymer fluid
Ben S. Ashby, Gabriel R. Barrenechea, Alex Lukyanov +2
We study the discretisation of a uniaxial (rank-one) reduction of the Oldroyd-B model for dilute polymer solutions, in which the conformation tensor is represented as $\sig = \vec…
Finite element approximation to linear, second order, parabolic problems with data
Gabriel Barrenechea, Abner J. Salgado
We consider the approximation to the solution of the initial boundary value problem for the heat equation with right hand side and initial condition that merely belong to . Du…
A nodally bound-preserving composite discontinuous Galerkin method on polytopic meshes
Abdolreza Amiri, Gabriel R. Barrenechea, Emmanuil H. Georgoulis +1
We introduce a nodally bound-preserving Galerkin method for second-order elliptic problems on general polygonal/polyhedral, henceforth collectively termed as \emph{polytopic}, mesh…
A bound-preserving and conservative enriched Galerkin method for elliptic problems
Gabriel R. Barrenechea, Philip L. Lederer, Andreas Rupp
We propose a locally conservative enriched Galerkin scheme that preserves the physical bounds for an elliptic problem. To this end, we use a substantial over-penalization of the di…
A nodally bound-preserving finite element method for time-dependent convection-diffusion equations
Abdolreza Amiri, Gabriel R. Barrenechea, Tristan Pryer
This paper presents a new method to approximate the time-dependent convection-diffusion equations using conforming finite element methods, ensuring that the discrete solution respe…