5 papers
A priori error estimates for a Hybrid High-Order method on variable-exponent Leray-Lions problems
André Harnist, Romain Mottier
We derive a priori error estimates for the Hybrid High-Order (HHO) discretization of variable-exponent Leray--Lions problems introduced in a companion convergence study. HHO method…
A Hybrid High-Order method for variable-exponent Leray-Lions problems with convergence under minimal regularity
André Harnist, Romain Mottier
We consider a homogeneous Dirichlet problem for nonlinear elliptic equations in divergence form with Leray--Lions fluxes of variable growth. The class includes the variable-exponen…
Elasto-acoustic wave propagation in geophysical media using hybrid high-order methods on general meshes
Romain Mottier, Alexandre Ern, Laurent Guillot
Hybrid high-order (HHO) methods are numerical methods characterized by several interesting properties such as local conservativity, geometric flexibility and high-order accuracy. H…
Unfitted hybrid high-order methods stabilized by polynomial extension for elliptic interface problems
Erik Burman, Alexandre Ern, Romain Mottier
In this work, we study the design and analysis of a novel hybrid high-order (HHO) method on unfitted meshes. HHO methods rely on a pair of unknowns, combining polynomials attached…
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…