Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

This article has been cited by the following article(s):

Mixed Finite Element Methods and Applications

Daniele Boffi, Franco Brezzi and Michel Fortin
Springer Series in Computational Mathematics, Mixed Finite Element Methods and Applications 44 47 (2013)
DOI: 10.1007/978-3-642-36519-5_2
See this article

A Mixed Finite Element Method to Solve the EEG Forward Problem

J. Vorwerk, C. Engwer, S. Pursiainen and C. H. Wolters
IEEE Transactions on Medical Imaging 36 (4) 930 (2017)
DOI: 10.1109/TMI.2016.2624634
See this article

Finite element differential forms on curvilinear cubic meshes and their approximation properties

Douglas N. Arnold, Daniele Boffi and Francesca Bonizzoni
Numerische Mathematik 129 (1) 1 (2015)
DOI: 10.1007/s00211-014-0631-3
See this article

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)
DOI: 10.1093/gji/ggv410
See this article

Divergence-Free $\boldsymbol{\mathcal{H}}(\mathbf{div})$ -Conforming Hierarchical Bases for Magnetohydrodynamics (MHD)

Wei Cai, Jian Wu and Jianguo Xin
Communications in Mathematics and Statistics 1 (1) 19 (2013)
DOI: 10.1007/s40304-013-0003-9
See this article

Application of the control volume mixed finite element method to a triangular discretization

R.L. Naff
International Journal for Numerical Methods in Engineering 89 (7) 846 (2012)
DOI: 10.1002/nme.3265
See this article

Locking free quadrilateral continuous/discontinuous finite element methods for the Reissner–Mindlin plate

Peter Hansbo and Mats G. Larson
Computer Methods in Applied Mechanics and Engineering 269 381 (2014)
DOI: 10.1016/j.cma.2013.11.004
See this article

Large-Scale Scientific Computing

Artur Palha and Marc Gerritsma
Lecture Notes in Computer Science, Large-Scale Scientific Computing 10665 119 (2018)
DOI: 10.1007/978-3-319-73441-5_12
See this article

High-order optimal edge elements for pyramids, prisms and hexahedra

Morgane Bergot and Marc Duruflé
Journal of Computational Physics 232 (1) 189 (2013)
DOI: 10.1016/j.jcp.2012.08.005
See this article

Coupling multipoint flux mixed finite element methodswith continuous Galerkin methods for poroelasticity

Mary Wheeler, Guangri Xue and Ivan Yotov
Computational Geosciences 18 (1) 57 (2014)
DOI: 10.1007/s10596-013-9382-y
See this article

A multipoint flux mixed finite element method on distorted quadrilaterals and hexahedra

Mary Wheeler, Guangri Xue and Ivan Yotov
Numerische Mathematik 121 (1) 165 (2012)
DOI: 10.1007/s00211-011-0427-7
See this article

Implementation of enhanced shape functions for non‐affine elements

Gaëlle Andriamaro, Oleg Davydov and John Simkin
IET Science, Measurement & Technology 9 (2) 184 (2015)
DOI: 10.1049/iet-smt.2014.0191
See this article

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)
DOI: 10.1016/j.cma.2019.05.013
See this article

Finite-element EM modelling on hexahedral grids with an FD solver as a pre-conditioner

Nikolay Yavich and Michael S Zhdanov
Geophysical Journal International 223 (2) 840 (2020)
DOI: 10.1093/gji/ggaa341
See this article

An Introduction to the Finite Element Method for Differential Equations

An Introduction to the Finite Element Method for Differential Equations 317 (2020)
DOI: 10.1002/9781119671688.biblio
See this article

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)
DOI: 10.1016/j.cma.2019.06.022
See this article

Two Families of $H$(div) Mixed Finite Elements on Quadrilaterals of Minimal Dimension

Todd Arbogast and Maicon R. Correa
SIAM Journal on Numerical Analysis 54 (6) 3332 (2016)
DOI: 10.1137/15M1013705
See this article

Analysis and Computation of Compatible Least-Squares Methods for div-curl Equations

Pavel B. Bochev, Kara Peterson and Christopher M. Siefert
SIAM Journal on Numerical Analysis 49 (1) 159 (2011)
DOI: 10.1137/090772095
See this article

The THex Algorithm and a Simple Darcy Solver on Hexahedral Meshes

Graham Harper, Jiangguo Liu and Bin Zheng
Procedia Computer Science 108 1903 (2017)
DOI: 10.1016/j.procs.2017.05.148
See this article

Lowest-Order Weak Galerkin Finite Element Method for Darcy Flow on Convex Polygonal Meshes

Jiangguo Liu, Simon Tavener and Zhuoran Wang
SIAM Journal on Scientific Computing 40 (5) B1229 (2018)
DOI: 10.1137/17M1145677
See this article

Hybridization and stabilization for hp-finite element methods

Lothar Banz, Jan Petsche and Andreas Schröder
Applied Numerical Mathematics 136 66 (2019)
DOI: 10.1016/j.apnum.2018.09.017
See this article

Multilevel Balancing Domain Decomposition by Constraints Deluxe Algorithms with Adaptive Coarse Spaces for Flow in Porous Media

Stefano Zampini and Xuemin Tu
SIAM Journal on Scientific Computing 39 (4) A1389 (2017)
DOI: 10.1137/16M1080653
See this article

Construction of $$H({\mathrm{div}})$$ H ( div ) -conforming mixed finite elements on cuboidal hexahedra

Todd Arbogast and Zhen Tao
Numerische Mathematik 142 (1) 1 (2019)
DOI: 10.1007/s00211-018-0998-7
See this article

On a general implementation of h- and p-adaptive curl-conforming finite elements

Marc Olm, Santiago Badia and Alberto F. Martín
Advances in Engineering Software 132 74 (2019)
DOI: 10.1016/j.advengsoft.2019.03.006
See this article

Approximation of H(div) with High-Order Optimal Finite Elements for Pyramids, Prisms and Hexahedra

Morgane Bergot and Marc Duruflé
Communications in Computational Physics 14 (5) 1372 (2013)
DOI: 10.4208/cicp.120712.080313a
See this article

Conforming Hierarchical Basis Functions

M. J. Bluck
Communications in Computational Physics 12 (4) 1215 (2012)
DOI: 10.4208/cicp.090511.071211a
See this article

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)
DOI: 10.1002/nme.6337
See this article

Approximation Theory XVI

Tatyana Sorokina and Shangyou Zhang
Springer Proceedings in Mathematics & Statistics, Approximation Theory XVI 336 237 (2021)
DOI: 10.1007/978-3-030-57464-2_13
See this article

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)
DOI: 10.1016/j.camwa.2020.07.014
See this article