Bernardo Cockburn

collaborators

2 papers

math.NA2026

HDG Methods for the two-dimensional Vector Laplacian

Bernardo Cockburn, Cristhian NÃºÃ±ez, Manuel A. SÃ¡nchez

We introduce new hybridizable discontinuous Galerkin (HDG) methods for solving the two-dimensional vector Laplacian equation under three types of boundary conditions: electric, mag…

math.NA2025

Improved $L^{2}$ -error estimates for the wave equation discretized using hybrid nonconforming methods on simplicial meshes

Bernardo Cockburn, Alexandre Ern, Rekha Khot

We present improved $L^{2}$ -error estimates on the time-integrated primal variable for the wave equation in its first-order formulation. The space discretization relies on a hybrid n…

HDG Methods for the two-dimensional Vector Laplacian

Improved L2-error estimates for the wave equation discretized using hybrid nonconforming methods on simplicial meshes

Improved $L^{2}$ -error estimates for the wave equation discretized using hybrid nonconforming methods on simplicial meshes