Recent advances on Hybrid High-Order methods

par Daniele Di Pietro (Univ. de Montpellier)

mardi 11 avr. 2017, 15:15 → 16:15 Europe/Paris

4e étage, salle 435 (UMPA, ENS Lyon - Site Monod)

Hybrid High-Order (HHO) methods are a class of new generation numerical schemes for PDEs with several advantageous features, including: (i) the support of arbitrary approximation orders on general meshes in arbitrary space dimension; (ii) compliance with the physics, including robustness with respect to the variations of physical coefficients and reproduction of key continuous properties at the discrete level; (iii) reduced computational cost thanks to hybridization, static condensation, and compact stencil. In this talk we will present recent advances on fundamental topics around HHO methods, as well as applications to linear and nonlinear problems.