-Robust Equilibrated Flux Reconstruction in Based on Local Minimizations: Application to a Posteriori Analysis of the Curl-Curl Problem

T Chaumont-Frelet, M Vohralík - SIAM Journal on Numerical Analysis, 2023 - SIAM
We present a local construction of-conforming piecewise polynomials satisfying a prescribed
curl constraint. We start from a piecewise polynomial not contained in the space but …

Stable broken H (curl) polynomial extensions and p-robust a posteriori error estimates by broken patchwise equilibration for the curl-curl problem.

T Chaumont-Frelet, A Ern, M Vohralík - Math. Comput., 2022 - ams.org
We study extensions of piecewise polynomial data prescribed in a patch of tetrahedra
sharing an edge. We show stability in the sense that the minimizers over piecewise …

[PDF][PDF] Stable broken H (curl) polynomial extensions and p-robust quasi-equilibrated a posteriori estimators for Maxwell's equations

T Chaumont-Frelet, A Ern… - arXiv preprint arXiv …, 2020 - researchgate.net
We study extensions of piecewise polynomial data prescribed in a patch of tetrahedra
sharing an edge. We show stability in the sense that the minimizers over piecewise …

Stable broken 𝐻 (𝑐𝑢𝑟𝑙) polynomial extensions and 𝑝-robust a posteriori error estimates by broken patchwise equilibration for the curl–curl problem

T Chaumont-Frelet, A Ern, M Vohralík - Mathematics of Computation, 2022 - ams.org
We study extensions of piecewise polynomial data prescribed in a patch of tetrahedra
sharing an edge. We show stability in the sense that the minimizers over piecewise …

AND p-ROBUST A POSTERIORI ERROR ESTIMATES BY BROKEN PATCHWISE EQUILIBRATION FOR THE CURL–CURL PROBLEM

T CHAUMONT-FRELET, A ERN, M VOHRALÍK - ams.org
We study extensions of piecewise polynomial data prescribed in a patch of tetrahedra
sharing an edge. We show stability in the sense that the minimizers over piecewise …