74 citations · 654 across the 39 of their papers we have counts for
4 papers · 1 filter
SoftFEM: revisiting the spectral finite element approximation of second-order elliptic operators
Quanling Deng, Alexandre Ern
We propose, analyze mathematically, and study numerically a novel approach for the finite element approximation of the spectrum of second-order elliptic operators. The main idea is…
An explicit pseudo-energy conserving time-integration scheme for Hamiltonian dynamics
Frédéric Marazzato, Alexandre Ern, Christian Mariotti +1
We propose a new explicit pseudo-energy and momentum conserving scheme for the time integration of Hamiltonian systems. The scheme, which is formally second-order accurate, is base…
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…