A graph approach for the construction of high order divergence-free Raviart-Thomas finite elements
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Publication:1616130
DOI10.1007/s10092-018-0284-1zbMath1401.65126OpenAlexW2892030010MaRDI QIDQ1616130
Jessika Camaño, E. De Los Santos, Francesca Rapetti, Ana M. Alonso Rodriguez
Publication date: 31 October 2018
Published in: Calcolo (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10092-018-0284-1
incidence matrixspanning treeoriented graphdivergence-free finite elementshigh order Raviart-Thomas finite elements
Trees (05C05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
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Divergence‐free finite elements for the numerical solution of a hydroelastic vibration problem ⋮ An efficient construction of divergence-free spaces in the context of exact finite element de Rham sequences ⋮ \(p\) -Robust Equilibrated Flux Reconstruction in \(\boldsymbol{H}(\textrm{curl})\) Based on Local Minimizations: Application to a Posteriori Analysis of the Curl-Curl Problem ⋮ High Order Whitney Forms on Simplices and the Question of Potentials ⋮ New degrees of freedom for high-order Whitney approximations of Darcy's flows
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