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math.NA2021
Conditioning of a Hybrid High-Order scheme on meshes with small faces
Santiago Badia, Jerome Droniou, Liam Yemm
We conduct a condition number analysis of a Hybrid High-Order (HHO) scheme for the Poisson problem. We find the condition number of the statically condensed system to be independen…
math.NA2021
Design and analysis of the Extended Hybrid High-Order method for the Poisson problem
Liam Yemm
We propose an Extended Hybrid High-Order scheme for the Poisson problem with solution possessing weak singularities. Some general assumptions are stated on the nature of this singu…
math.NA2021
Robust Hybrid High-Order method on polytopal meshes with small faces
Jerome Droniou, Liam Yemm
We design a Hybrid High-Order (HHO) scheme for the Poisson problem that is fully robust on polytopal meshes in the presence of small edges/faces. We state general assumptions on th…