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• W1834161719 abstract "Hybrid High-Order (HHO) methods are formulated in terms of discrete unknowns attached to mesh faces and cells (hence, the term hybrid), and these unknowns are polynomials of arbitrary order k ≥ 0 (hence, the term high-order). HHO methods are devised from local reconstruction operators and a local stabilization term. The discrete problem is assembled cellwise, and cell-based unknowns can be eliminated locally by static condensation. HHO methods support general meshes, are locally conservative, and allow for a robust treatment of physical parameters in various situations, e.g., heterogeneous/anisotropic diffusion, quasi-incompressible linear elasticity, and advection-dominated transport. This paper reviews HHO methods for a variable-diffusion model problem with nonhomogeneous, mixed Dirichlet–Neumann boundary conditions, including both primal and mixed formulations. Links with other discretization methods from the literature are discussed." @default.
• W1834161719 created "2016-06-24" @default.
• W1834161719 creator A5037714004 @default.
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• W1834161719 date "2016-01-01" @default.
• W1834161719 modified "2023-10-16" @default.
• W1834161719 title "A Review of Hybrid High-Order Methods: Formulations, Computational Aspects, Comparison with Other Methods" @default.
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• W1834161719 doi "https://doi.org/10.1007/978-3-319-41640-3_7" @default.
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