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Design and analysis of an exactly divergence-free hybridised discontinuous Galerkin method for incompressible flows on meshes with quadrilateral cells
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Second-Order Nédélec Curl-Conforming Hexahedral Element for Computational Electromagnetics
A Bochev‐Dohrmann‐Gunzburger stabilized method for Maxwell eigenproblem
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On pressure robustness and independent determination of displacement and pressure in incompressible linear elasticity
Adam Zdunek, Michael Neunteufel and Waldemar Rachowicz Computer Methods in Applied Mechanics and Engineering 403 115714 (2023) https://doi.org/10.1016/j.cma.2022.115714
A lowest-degree quasi-conforming finite element de Rham complex on general quadrilateral grids by piecewise polynomials
H(div) finite elements based on nonaffine meshes for 3D mixed formulations of flow problems with arbitrary high order accuracy of the divergence of the flux
Philippe Remy Bernard Devloo, Omar Durán, Agnaldo Monteiro Farias and Sônia Maria Gomes International Journal for Numerical Methods in Engineering 121(13) 2896 (2020) https://doi.org/10.1002/nme.6337
Finite-element EM modelling on hexahedral grids with an FD solver as a pre-conditioner
A multiscale hybrid method for Darcy’s problems using mixed finite element local solvers
Omar Durán, Philippe R.B. Devloo, Sônia M. Gomes and Frédéric Valentin Computer Methods in Applied Mechanics and Engineering 354 213 (2019) https://doi.org/10.1016/j.cma.2019.05.013
On a general implementation of h- and p-adaptive curl-conforming finite elements
High-order composite finite element exact sequences based on tetrahedral–hexahedral–prismatic–pyramidal partitions
Philippe R.B. Devloo, Omar Durán, Sônia M. Gomes and Mark Ainsworth Computer Methods in Applied Mechanics and Engineering 355 952 (2019) https://doi.org/10.1016/j.cma.2019.06.022
Construction of
$$H({\mathrm{div}})$$
H
(
div
)
-conforming mixed finite elements on cuboidal hexahedra
3-D magnetotelluric inversion including topography using deformed hexahedral edge finite elements and direct solvers parallelized on SMP computers – Part I: forward problem and parameter Jacobians
M. Kordy, P. Wannamaker, V. Maris, E. Cherkaev and G. Hill Geophysical Journal International 204(1) 74 (2016) https://doi.org/10.1093/gji/ggv410
Two Families of $H$(div) Mixed Finite Elements on Quadrilaterals of Minimal Dimension