| Abstract: | A new second order time stepping ensemble hybridizable discontinuous
Galerkin method for parameterized convection diffusion PDEs with various initial
and boundary conditions, body forces, and time depending coefficients is developed.
For ensemble solutions in $L^∞$($0$, $T$; $L^2$($Ω$)), a superconvergent rate with respect to
the freedom degree of the globally coupled unknowns for all the polynomials of
degree $k$ ≥ $0$ is established. The results of numerical experiments are consistent
with the theoretical findings. |
