A. Ern

activity

20082023

most citedA discontinuous-skeletal method for advection-diffusion-reaction on general meshes

74 citations · 654 across the 39 of their papers we have counts for

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2 papers · 1 filter

math.NA2022

$C^{0}$ -hybrid high-order methods for biharmonic problems

Zhaonan Dong, Alexandre Ern

We devise and analyze $C^{0}$ -conforming hybrid high-order (HHO) methods to approximate biharmonic problems with either clamped or simply supported boundary conditions. $C^{0}$ -conform…

math.NA2022

Local decay rates of best-approximation errors using vector-valued finite elements for fields with low regularity and integrable curl or divergence

Zhaonan Dong, Alexandre Ern, Jean-Luc Guermond

We estimate best-approximation errors using vector-valued finite elements for fields with low regularity in the scale of fractional-order Sobolev spaces. By assuming additionally t…

C0-hybrid high-order methods for biharmonic problems

Local decay rates of best-approximation errors using vector-valued finite elements for fields with low regularity and integrable curl or divergence

$C^{0}$ -hybrid high-order methods for biharmonic problems