18 citations · 20 across the 5 of their papers we have counts for
5 papers
-robust equilibrated flux reconstruction in based on local minimizations. Application to a posteriori analysis of the curl-curl problem
Théophile Chaumont-Frelet, Martin Vohralík
We present a local construction of H(curl)-conforming piecewise polynomials satisfying a prescribed curl constraint. We start from a piecewise polynomial not contained in the H(cur…
Polynomial-degree-robust H(curl)-stability of discrete minimization in a tetrahedron
Théophile Chaumont-Frelet, Alexandre Ern, Martin Vohralík
We prove that the minimizer in the Nédélec polynomial space of some degree p > 0 of a discrete minimization problem performs as well as the continuous minimizer in H(curl), up to a…
Stable broken H(curl) polynomial extensions and p-robust a posteriori error estimates by broken patchwise equilibration for the curl-curl problem
Théophile Chaumont-Frelet, Alexandre Ern, Martin Vohralík
We study extensions of piecewise polynomial data prescribed in a patch of tetrahedra sharing an edge. We show stability in the sense that the minimizers over piecewise polynomial s…
Guaranteed and robust -norm a posteriori error estimates for 1D linear advection problems
Alexandre Ern, Martin Vohralík, Mohammad Zakerzadeh
We propose a reconstruction-based a posteriori error estimate for linear advection problems in one space dimension. In our framework, a stable variational ultra-weak formulation is…
Simple and robust equilibrated flux a posteriori estimates for singularly perturbed reaction-diffusion problems
Iain Smears, Martin Vohralík
We consider energy norm a posteriori error analysis of conforming finite element approximations of singularly perturbed reaction-diffusion problems on simplicial meshes in arbitrar…