A. Ern

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20212026

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math.NA2024

A priori and a posteriori analysis of the discontinuous Galerkin approximation of the time-harmonic Maxwell's equations under minimal regularity assumptions

T. Chaumont-Frelet, A. Ern

We derive a priori and a posteriori error estimates for the discontinuous Galerkin (dG) approximation of the time-harmonic Maxwell's equations. Specifically, we consider an interio…

math.NA2024

$h p$ -error analysis of mixed-order hybrid high-order methods for elliptic problems on simplicial meshes

Zhaonan Dong, Alexandre Ern

We present both $h p$ -a priori and $h p$ -a posteriori error analysis of a mixed-order hybrid high-order (HHO) method to approximate second-order elliptic problems on simplicial meshe…

A priori and a posteriori analysis of the discontinuous Galerkin approximation of the time-harmonic Maxwell's equations under minimal regularity assumptions

hp-error analysis of mixed-order hybrid high-order methods for elliptic problems on simplicial meshes

$h p$ -error analysis of mixed-order hybrid high-order methods for elliptic problems on simplicial meshes