On discrete functional inequalities for some finite volume schemes
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Publication:2944218
DOI10.1093/imanum/dru032zbMath1326.65145arXiv1202.4860OpenAlexW2046173108MaRDI QIDQ2944218
Francis Filbet, Claire Chainais-Hillairet, Marianne Bessemoulin-Chatard
Publication date: 28 August 2015
Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1202.4860
convergencefinite volume schemesmixed boundary conditionsPoincaré-Sobolev inequalityGagliardo-Nirenberg-Sobolev inequalitydiscrete duality finite volume approximationsdiscrete functional inequalities
Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Inequalities involving derivatives and differential and integral operators (26D10) Finite volume methods for boundary value problems involving PDEs (65N08)
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