Proves optimal hp-convergence rates for HHO on Poisson and first rigorous p-multigrid analysis for HHO discretizations.
Homogeneous multigrid for hybrid discretizations: application to HHO methods
2 Pith papers cite this work, alongside 2 external citations. Polarity classification is still indexing.
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The paper provides sufficient conditions on parametric regularity for QMC error bounds in finite element discretizations of parametric PDEs with Gevrey-regular random fields, achieving faster-than-MC rates when the quantity of interest depends continuously on the solution, flux, or gradient.
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Optimal $hp$-error estimates and $p$-multigrid convergence for Hybrid High-Order discretizations of the Poisson equation
Proves optimal hp-convergence rates for HHO on Poisson and first rigorous p-multigrid analysis for HHO discretizations.
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Sufficient conditions for QMC analysis of finite elements for parametric differential equations
The paper provides sufficient conditions on parametric regularity for QMC error bounds in finite element discretizations of parametric PDEs with Gevrey-regular random fields, achieving faster-than-MC rates when the quantity of interest depends continuously on the solution, flux, or gradient.