Publications

Journal articles

  • A. Harnist, K. Mitra, A. E. Rappaport, M. Vohralík. Robust augmented energy a posteriori estimates for Lipschitz and strongly monotone elliptic problems, IMA Journal of Numerical Analysis, drag036 (2026). journal · preprint

  • A. E. Rappaport, T. Chaumont-Frelet, A. Modave. A Hybridizable Discontinuous Galerkin Method with Transmission Variables for Time-Harmonic Electromagnetic Problems, SIAM Journal on Scientific Computing 48, no. 4 (2026), B629–B650. journal · preprint

  • F. Févotte, A. E. Rappaport, M. Vohralík. Adaptive regularization for the Richards equation, Computational Geosciences 28, no. 6 (2024), 1371–1388. journal · preprint

  • F. Févotte, A. E. Rappaport, M. Vohralík. Adaptive regularization, discretization, and linearization for nonsmooth problems based on primal-dual gap estimators, Computer Methods in Applied Mechanics and Engineering 418, no. B (2024), 116558. journal · preprint

  • J. H. Chaudhry, A. E. Rappaport, J. N. Shadid. An a posteriori error analysis for the equations of stationary incompressible magnetohydrodynamics, SIAM Journal on Scientific Computing 43, no. 2 (2021), B354–B380. journal · preprint

Preprints

  • M. Bonazzoli, P. Ciarlet Jr., A. Modave, A. E. Rappaport. Analysis of a two-level domain decomposition preconditioner for the time-harmonic Maxwell equations in anisotropic media, 2026. HAL

  • F. Févotte, A. E. Rappaport. A thread parallel implementation of the equilibrated flux in Julia, 2024. HAL

Theses

  • A. E. Rappaport. A posteriori error estimates and adaptivity in numerical approximation of PDEs: regularization, linearization, discretization, and floating point precision, PhD thesis, Sorbonne Université, 2024. theses.fr

  • A. E. Rappaport. An a posteriori error analysis of stationary incompressible magnetohydrodynamics, Master’s thesis, University of New Mexico, 2020. Digital Repository