M. Vohralík

activity

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

collaborators

Showing 2017Show all

3 papers · 1 filter

math.NA2017★ 23 cited

An adaptive $h p$ -refinement strategy with computable guaranteed bound on the error reduction factor

Patrik Daniel, Alexandre Ern, Iain Smears +1

We propose a new practical adaptive refinement strategy for $h p$ -finite element approximations of elliptic problems. Following recent theoretical developments in polynomial-degree-…

math.NA2017★ 17 cited

Equilibrated flux a posteriori error estimates in $L^{2} (H^{1})$ -norms for high-order discretizations of parabolic problems

Alexandre Ern, Iain Smears, Martin Vohralik

We consider the a posteriori error analysis of fully discrete approximations of parabolic problems based on conforming $h p$ -finite element methods in space and an arbitrary order d…

math.NA2017★ 46 cited

Stable broken $H^{1}$ and $H (div)$ polynomial extensions for polynomial-degree-robust potential and flux reconstruction in three space dimensions

Alexandre Ern, Martin Vohralík

We study extensions of piecewise polynomial data prescribed on faces and possibly in elements of a patch of simplices sharing a vertex. In the $H^{1}$ setting, we look for functions…

An adaptive hp-refinement strategy with computable guaranteed bound on the error reduction factor

Equilibrated flux a posteriori error estimates in L2(H1)-norms for high-order discretizations of parabolic problems

Stable broken H1 and H(div) polynomial extensions for polynomial-degree-robust potential and flux reconstruction in three space dimensions

An adaptive $h p$ -refinement strategy with computable guaranteed bound on the error reduction factor

Equilibrated flux a posteriori error estimates in $L^{2} (H^{1})$ -norms for high-order discretizations of parabolic problems

Stable broken $H^{1}$ and $H (div)$ polynomial extensions for polynomial-degree-robust potential and flux reconstruction in three space dimensions