8 citations · 8 across the 2 of their papers we have counts for
4 papers
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…
Equivalence of local-and global-best approximations, a simple stable local commuting projector, and optimal approximation estimates in
Alexandre Ern, Thirupathi Gudi, Iain Smears +1
Given an arbitrary function in H(div), we show that the error attained by the global-best approximation by H(div)-conforming piecewise polynomial Raviart-Thomas-Nédélec elements un…
An adaptive stabilized conforming finite element method via residual minimization on dual discontinuous Galerkin norms
Victor M. Calo, Alexandre Ern, Ignacio Muga +1
We design and analyze a new adaptive stabilized finite element method. We construct a discrete approximation of the solution in a continuous trial space by minimizing the residual…