Derives discrete weak duality for hybrid high-order methods on convex minimization problems, yielding a priori rates on polyhedral meshes and a posteriori estimates via postprocessing that drive adaptive meshing.
Di Pietro and J´ erˆ ome Droniou,An arbitrary-order discrete de Rham complex on polyhedral meshes: exactness, Poincar´ e inequalities, and consistency, Found
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Discrete weak duality of hybrid high-order methods for convex minimization problems
Derives discrete weak duality for hybrid high-order methods on convex minimization problems, yielding a priori rates on polyhedral meshes and a posteriori estimates via postprocessing that drive adaptive meshing.