3 papers
math.NA2026
An ultra-weak three-field finite element formulation for the biharmonic and extended Fisher--Kolmogorov equations
Rekha Khot, Bishnu P. Lamichhane, Ricardo Ruiz-Baier
This paper discusses a so-called ultra-weak three-field formulation of the biharmonic problem where the solution, its gradient, and an additional Lagrange multiplier are the three…
math.NA2025
Improved -error estimates for the wave equation discretized using hybrid nonconforming methods on simplicial meshes
Bernardo Cockburn, Alexandre Ern, Rekha Khot
We present improved -error estimates on the time-integrated primal variable for the wave equation in its first-order formulation. The space discretization relies on a hybrid n…
math.NA2025
Hybrid high-order methods for elasto-acoustic wave propagation in the time domain
Romain Mottier, Alexandre Ern, Rekha Khot +1
We devise a Hybrid High-Order (HHO) method for the coupling between the acoustic and elastic wave equations in the time domain. A first-order formulation in time is considered. The…