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20162025
most citedGuaranteed, locally space-time efficient, and polynomial-degree robust a posteriori error estimates for high-order discretizations of parabolic problems

47 citations · 202 across the 12 of their papers we have counts for

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math.NA2025

A quasi-interpolation operator yielding fully computable error bounds

T. Chaumont-Frelet, M. Vohralik

We design a quasi-interpolation operator from the Sobolev space to its finite-dimensional finite element subspace formed by piecewise polynomials on a simplicial mesh wi…

math.NA2025

Local L2-bounded commuting projections using discrete local problems on Alfeld splits

Alexandre Ern, Johnny Guzman, Pratyush Potu +1

We construct projections onto the classical finite element spaces based on Lagrange, Nédélec, Raviart-Thomas, and discontinuous elements on shape-regular simplicial meshes. Our pro…