4. Bibliography#
Pignet, PhD thesis, Hybrid High-Order methods for nonlinear solid mechanics, 2019.
Di Pietro., A. Ern, S. Lemaire (2014) An arbitrary-order and compact-stencil discretization of diffusion on general meshes based on local reconstruction operators. Compuput Methods Call Math 14 (4), 461-472.
Di Pietro, A. Ern (2015) A Hybrid High-Order Locking-free Method for Linear Elasticity on General Meshes. Compute Methods Appl Mech Engrg 283, 1-21.
Abbas, A. Ern, N. Pignet (2018) Hybrid High-Order methods for finite deformations of hyperelastic materials. Compuput Mech 62 (4), 909-928.
Abbas, A. Ern, N. Pignet (2019) A Hybrid High-Order Method for Incremental Associative Plasticity with Small Deformations. Compute Methods Call Mech Engrg 346, 891-912.
Abbas, A. Ern, N. Pignet (2019) A Hybrid High-Order methods for finite elastoplastic deformations within a logarithmic strain framework. Int. Mr. Num. Meth. Engng 120, 303—327.
Cockburn, D. Di Pietro, A. Ern (2016) Bridging the Hybrid High-Order and Hybrydisable Discontinuous Galerkin methods. ESAIM Math Model Number Anal 50 (3), 635-650.
Droniou, R. Eymard, T. Gallouët, and R. Herbin (2010) A unified approach to mimeticfinite difference, hybrid finite volume and mixed finite volume methods. Math. Models. Methods Appl. Sci.**20 (2)**, 265—295.
Cicuttin, A. Ern, and N. Pignet (2021) Hybrid high-order methods. A Primer with Application to Solid Mechanics, SpingerBriefs in Mathematics