Efficient Equilibrated Flux Reconstruction in High Order Raviart -Thomas Space for Discontinuous Galerkin methods

Igor Mozolevski (1) , Edson Luis Valmorbida (1)

1 MTM - Departamento de Matemática = Mathematics Department [Florianópolis]

We develop an efficient and computationally cheap method of equilibrated fluxes reconstruction for high-order dG solutions to elliptic problems using a specific computational basis in high order Raviart-Thomas space. The computational basis is designed in such a way that coordinates of equilibrated fluxes with respect to this basis can be easy calculated from the moments of the numerical fluxes of dG method. Some applications of this method in implementation of a posteriori error estimators for elliptic boundary value problems are considered.

Domaines: Analyse numérique [math.NA]

Igor Mozolevski, Edson Luis Valmorbida. Efficient Equilibrated Flux Reconstruction in High Order Raviart -Thomas Space for Discontinuous Galerkin methods. 2016. ⟨hal-01385637⟩