27 citations · 56 across the 16 of their papers we have counts for
3 papers · 1 filter
Chip-firing on general invertible matrices
Johnny Guzman, Caroline Klivans
We propose a generalization of the graphical chip-firing model allowing for the redistribution dynamics to be governed by any invertible integer matrix while maintaining the long t…
A finite element method for high-contrast interface problems with error estimates independent of contrast
Johnny Guzman, Manuel A. Sanchez, Marcus Sarkis
We define a new finite element method for a steady state elliptic problem with discontinuous diffusion coefficients where the meshes are not aligned with the interface. We prove op…
Higher-order finite element methods for elliptic problems with interfaces
Johnny Guzman, Manuel A. Sanchez, Marcus Sarkis
We present higher-order piecewise continuous finite element methods for solving a class of interface problems in two dimensions. The method is based on correction terms added to th…