3 papers
math.NA2026
HDG Methods for the two-dimensional Vector Laplacian
Bernardo Cockburn, Cristhian Núñez, Manuel A. Sánchez
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 -error estimates for the wave equation discretized using hybrid nonconforming methods on simplicial meshes
Bernardo Cockburn, Alexandre Ern, Rekha Khot
We present improved -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…
math.NA2018
Discrete -inequalities for spaces admitting M-decompositions
Bernardo Cockburn, Guosheng Fu, Weifeng Qiu
We find new discrete - and Poincaré-Friedrichs inequalities by studying the invertibility of the DG approximation of the flux for local spaces admitting M-decompositions. We t…