An arbitrary-order discrete de Rham complex on polyhedral meshes: Exactness, Poincar\'e inequalities, and consistency

DOI10.1007/s10208-021-09542-8zbMath1512.65263arXiv2101.04940MaRDI QIDQ6358182

Jérôme Droniou, Daniele A. Di Pietro

Publication date: 13 January 2021

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) de Rham theory in global analysis (58A12) Electro- and magnetostatics (78A30)

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