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On pressure robustness and independent determination of displacement and pressure in incompressible linear elasticity
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A stabilized finite element method on nonaffine grids for time-harmonic Maxwell’s equations
A Bochev‐Dohrmann‐Gunzburger stabilized method for Maxwell eigenproblem
Zhijie Du, Huoyuan Duan, Can Wang and Qiuyu Zhang Numerical Methods for Partial Differential Equations 39(5) 3811 (2023) https://doi.org/10.1002/num.23026
Design and analysis of an exactly divergence-free hybridised discontinuous Galerkin method for incompressible flows on meshes with quadrilateral cells
Joseph P. Dean, Sander Rhebergen and Garth N. Wells Computer Methods in Applied Mechanics and Engineering 417 116493 (2023) https://doi.org/10.1016/j.cma.2023.116493
Second-Order Nédélec Curl-Conforming Hexahedral Element for Computational Electromagnetics
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
A locking-free solver for linear elasticity on quadrilateral and hexahedral meshes based on enrichment of Lagrangian elements
Graham Harper, Ruishu Wang, Jiangguo Liu, Simon Tavener and Ran Zhang Computers & Mathematics with Applications 80(6) 1578 (2020) https://doi.org/10.1016/j.camwa.2020.07.014
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
Hybridization and stabilization for hp-finite element methods
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