Recent developments on Hybrid High-Order methods for nonlinear problems

Hybrid High-Order (HHO) methods are a class of new generation numerical schemes for PDEs with several advantageous features, including: (i) support of general polytopal meshes in arbitrary space dimension, (ii) arbitrary approximation order; (iii) compliance with the physics, including robustness with respect to the variations of physical coefficients and reproduction of key continuous properties at the discrete level; (iv) reduced computational cost thanks to hybridization, static condensation, and compact stencil. In this presentation we address some recent developments concerning the application of HHO methods to nonlinear problems contact: christian.vergara@polimi.it