14 citations · 45 across the 26 of their papers we have counts for
3 papers · 1 filter
A nodally bound-preserving finite element method for reaction-convection-diffusion equations
Abdolreza Amiri, Gabriel R. Barrenechea, Tristan Pryer
This paper introduces a novel approach to approximate a broad range of reaction-convection-diffusion equations using conforming finite element methods while providing a discrete so…
Implicit-explicit schemes for incompressible flow problems with variable viscosity
Gabriel R. Barrenechea, Ernesto Castillo, Douglas R. Q. Pacheco
In this work we study different Implicit-Explicit (IMEX) schemes for incompressible flow problems with variable viscosity. Unlike most previous work on IMEX schemes, which focuses…
A Nodally Bound-Preserving Finite Element Method
Gabriel Barrenechea, Emmanuil Georgoulis, Tristan Pryer +1
This work proposes a nonlinear finite element method whose nodal values preserve bounds known for the exact solution. The discrete problem involves a nonlinear projection operator…