Romain Mottier
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View article: Hybrid high-order methods for elasto-acoustic wave propagation in the time domain
Hybrid high-order methods for elasto-acoustic wave propagation in the time domain Open
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 HHO method can use equal-order and mixed-order settings wi…
View article: Elasto-acoustic wave propagation in geophysical media using hybrid high-order methods on general meshes
Elasto-acoustic wave propagation in geophysical media using hybrid high-order methods on general meshes Open
Hybrid high-order (HHO) methods are numerical methods characterized by several interesting properties such as local conservativity, geometric flexibility and high-order accuracy. Here, HHO schemes are studied for the space semi-discretizat…
View article: Unfitted hybrid high-order methods stabilized by polynomial extension for elliptic interface problems
Unfitted hybrid high-order methods stabilized by polynomial extension for elliptic interface problems Open
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 to the mesh faces and the mesh cells. In the unfitted frame…