Unified formulation and analysis of mixed and primal discontinuous skeletal methods on polytopal meshes
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Publication:4579914
DOI10.1051/m2an/2017036zbMath1402.65135arXiv1609.04601OpenAlexW2964091065MaRDI QIDQ4579914
Daniele Boffi, Daniele A. Di Pietro
Publication date: 10 August 2018
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.04601
high orderhybrid methodsmixed methodspolytopal meshesmimetic finite difference methodprimal methodsunified formulationdiscontinuous polynomial trial spacesoptimal \(L^2\)- and energy-norm error estimatesRaviart-Thomas and Crouzeix-Raviart elementskeletal discretizationstabilizing bilinear formvarious known methods as special cases
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 volume methods for boundary value problems involving PDEs (65N08)
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Uses Software
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