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:

Cell Agglomeration Strategy for Cut Cells in eXtended Discontinuous Galerkin Methods

Teoman Toprak, Matthias Rieckmann and Florian Kummer
International Journal for Numerical Methods in Engineering 126 (9) (2025)
https://doi.org/10.1002/nme.70013

Asymptotic Analysis of Stokes Flow Through a Filter

Georges Griso, Larysa Khilkova and Julia Orlik
Mathematical Methods in the Applied Sciences (2025)
https://doi.org/10.1002/mma.11072

Robust Multigrid Methods for Discontinuous Galerkin Discretizations of an Elliptic Optimal Control Problem

Sijing Liu
Computational Methods in Applied Mathematics 25 (1) 133 (2025)
https://doi.org/10.1515/cmam-2023-0132

A mixed-dimensional model for the electrostatic problem on coupled domains

Beatrice Crippa, Anna Scotti and Andrea Villa
Journal of Computational Physics 114015 (2025)
https://doi.org/10.1016/j.jcp.2025.114015

A nonsingular-kernel Dirichlet-to-Dirichlet mapping method for the exterior Stokes problem

Xiaojuan Liu, Maojun Li, Tao Yin and Shangyou Zhang
Advances in Computational Mathematics 51 (1) (2025)
https://doi.org/10.1007/s10444-024-10216-6

A potential energy conserving finite element method for turbulent variable density flow: application to glacier-fjord circulation

Lukas Lundgren, Christian Helanow, Jonathan Wiskandt, Inga Monika Koszalka and Josefin Ahlkrona
Journal of Computational Physics 113981 (2025)
https://doi.org/10.1016/j.jcp.2025.113981

A variationally-consistent hybrid equilibrium element formulation for linear poroelasticity

Simona Lo Franco, Francesco Parrinello and Guido Borino
Computer Methods in Applied Mechanics and Engineering 434 117576 (2025)
https://doi.org/10.1016/j.cma.2024.117576

Auto-Stabilized Weak Galerkin Finite Element Methods for Stokes Equations on Non-Convex Polytopal Meshes

Chunmei Wang and Shangyou Zhang
Journal of Computational Physics 114006 (2025)
https://doi.org/10.1016/j.jcp.2025.114006

Mapped Coercivity for the Stationary Navier–Stokes Equations and Their Finite Element Approximations

Roland Becker and Malte Braack
Computational Methods in Applied Mathematics (2025)
https://doi.org/10.1515/cmam-2024-0187

Mixed Finite Element Formulation in Nonlinear Geometrical Analysis of Space Trusses and Application to Trusses With Member Length Imperfection

Ngoc Tien Dao and Thuy Van Tran Thi
Journal of Computing and Information Science in Engineering 25 (1) (2025)
https://doi.org/10.1115/1.4065606

Preconditioned FEM-based neural networks for solving incompressible fluid flows and related inverse problems

Franziska Griese, Fabian Hoppe, Alexander Rüttgers and Philipp Knechtges
Journal of Computational and Applied Mathematics 469 116663 (2025)
https://doi.org/10.1016/j.cam.2025.116663

Increasing numerical stability of mountain valley glacier simulations: implementation and testing of free-surface stabilization in Elmer/Ice

André Löfgren, Thomas Zwinger, Peter Råback, Christian Helanow and Josefin Ahlkrona
The Cryosphere 18 (8) 3453 (2024)
https://doi.org/10.5194/tc-18-3453-2024

A FEM for three‐field u–p–η poroelasticity with nonreciprocal interactions

Bruna Campos and Robert Gracie
International Journal for Numerical and Analytical Methods in Geomechanics 48 (1) 332 (2024)
https://doi.org/10.1002/nag.3636

Stabilization of topology optimization problems using Voronoi tessellations

Georgia Kikis, Bjorn Sauren, Carolin Birk and Sven Klinkel
PAMM 24 (4) (2024)
https://doi.org/10.1002/pamm.202400118

On the stability of mixed polygonal finite element formulations in nonlinear analysis

Bjorn Sauren and Sven Klinkel
International Journal for Numerical Methods in Engineering 125 (9) (2024)
https://doi.org/10.1002/nme.7358

A novel 3D mixed finite element for flexoelectricity in piezoelectric materials

Prince Henry Serrao and Sergey Kozinov
International Journal for Numerical Methods in Engineering 125 (16) (2024)
https://doi.org/10.1002/nme.7500

Coupled heat and water transfer in heterogeneous and deformable soils: Numerical model using mixed finite element method

Zhuangji Wang, Dennis Timlin, Gang Liu, David Fleisher, Wenguang Sun, Sahila Beegum, Joshua Heitman, Tusheng Ren, Yan Chen, Vangimalla R. Reddy, Katherine Tully and Robert Horton
Journal of Hydrology 634 131068 (2024)
https://doi.org/10.1016/j.jhydrol.2024.131068

An augmented streamline upwind/Petrov-Galerkin method for the time-spectral convection-diffusion equation

Mahdi Esmaily and Dongjie Jia
Journal of Computational Physics 113484 (2024)
https://doi.org/10.1016/j.jcp.2024.113484

Finite element implementation of a seepage-stress coupling method for solid-liquid-gas three phases in porous media considering compressible gas

Hairong Zhang, Lanhao Zhao and Weiguo Wang
Computers and Geotechnics 169 106189 (2024)
https://doi.org/10.1016/j.compgeo.2024.106189

Natural convection in nanofluid-filled quadrantal cavities under magnetic field: Application of the SUPS formulation

Süleyman Cengizci, Hakan F. Öztop and Gülden Mülayim
Numerical Heat Transfer, Part B: Fundamentals 1 (2024)
https://doi.org/10.1080/10407790.2024.2370515

Adaptive neural network surrogate model for solving the nonlinear elastic inverse problem via Bayesian inference

Fuchang Huo, Kai Zhang, Yu Gao and Jingzhi Li
Journal of Inverse and Ill-posed Problems (2024)
https://doi.org/10.1515/jiip-2022-0050

STABILIZED PRIMAL AND DUAL HYBRID MIXED DGFEM FOR DARCY FLOW

Iury Igreja
Journal of Applied Analysis & Computation 14 (3) 1269 (2024)
https://doi.org/10.11948/20230087

Stable and locally mass- and momentum-conservative control-volume finite-element schemes for the Stokes problem

Martin Schneider and Timo Koch
Computer Methods in Applied Mechanics and Engineering 420 116723 (2024)
https://doi.org/10.1016/j.cma.2023.116723

A unified-field monolithic fictitious domain-finite element method for fluid-structure-contact interactions and applications to deterministic lateral displacement problems

Cheng Wang, Pengtao Sun, Yumiao Zhang, Jinchao Xu, Yan Chen and Jiarui Han
Journal of Computational Physics 113083 (2024)
https://doi.org/10.1016/j.jcp.2024.113083

Staggered finite volume algorithms for dynamic analysis of saturated soil with low permeability and incompressible pore fluid by using OpenFOAM

Shihuan Zou, Maosong Huang and Zhenhao Shi
Computers and Geotechnics 173 106539 (2024)
https://doi.org/10.1016/j.compgeo.2024.106539

Simultaneous analysis of continuously embedded Reissner–Mindlin shells in 3D bulk domains

Michael Wolfgang Kaiser and Thomas‐Peter Fries
International Journal for Numerical Methods in Engineering 125 (16) (2024)
https://doi.org/10.1002/nme.7495

Lagrange multiplier imposition of non-conforming essential boundary conditions in implicit material point method

Veronika Singer, Tobias Teschemacher, Antonia Larese, Roland Wüchner and Kai-Uwe Bletzinger
Computational Mechanics 73 (6) 1311 (2024)
https://doi.org/10.1007/s00466-023-02412-w

A numerical model for chemo-thermo-mechanical coupling at large strains with an application to thermoresponsive hydrogels

Florian Brunner, Tristan Seidlhofer and Manfred H. Ulz
Computational Mechanics 74 (3) 509 (2024)
https://doi.org/10.1007/s00466-024-02443-x

X-Mesh: A new approach for the simulation of two-phase flow with sharp interface

Antoine Quiriny, Jonathan Lambrechts, Nicolas Moës and Jean-François Remacle
Journal of Computational Physics 112775 (2024)
https://doi.org/10.1016/j.jcp.2024.112775

A SUPS formulation for simulating unsteady natural/mixed heat convection phenomena in square cavities under intense magnetic forces

Süleyman Cengizci
The European Physical Journal Plus 139 (8) (2024)
https://doi.org/10.1140/epjp/s13360-024-05481-9

Mixed Formulation of Finite Element Method Within Toupin–Mindlin Gradient Elasticity Theory

O. Yu. Chirkov, L. Nazarenko and H. Altenbach
Strength of Materials 56 (2) 223 (2024)
https://doi.org/10.1007/s11223-024-00642-8

An LBB‐stable P1/RNP0 finite element based on a pseudo‐random integration method for incompressible and nearly incompressible material flows

Eric Feulvarch, Alexandre Brosse and Yannick Vincent
International Journal for Numerical Methods in Engineering 124 (24) 5558 (2023)
https://doi.org/10.1002/nme.7361

Structure-preserving and helicity-conserving finite element approximations and preconditioning for the Hall MHD equations

Fabian Laakmann, Kaibo Hu and Patrick E. Farrell
Journal of Computational Physics 112410 (2023)
https://doi.org/10.1016/j.jcp.2023.112410

A numerical experiment on the stability and convergence characteristics of some splitting mixed-finite element methods for solving the incompressible Navier-Stokes equations

Myung H. Cho, Sang T. Ha, Jung Y. Yoo and Hyoung G. Choi
Journal of Mechanical Science and Technology 37 (9) 4729 (2023)
https://doi.org/10.1007/s12206-023-0827-5

Shape Sensitivity Analysis of a 2D Fluid–Structure Interaction Problem

Valentin Calisti, Ilaria Lucardesi and Jean-François Scheid
Journal of Optimization Theory and Applications 199 (1) 36 (2023)
https://doi.org/10.1007/s10957-023-02213-4

Artificial instabilities of finite elements for nonlinear elasticity: Analysis and remedies

Simon Bieber, Ferdinando Auricchio, Alessandro Reali and Manfred Bischoff
International Journal for Numerical Methods in Engineering 124 (11) 2638 (2023)
https://doi.org/10.1002/nme.7224

A continuum active structure model for the interaction of cilia with a viscous fluid

Astrid Decoene, Sébastien Martin and Fabien Vergnet
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (2023)
https://doi.org/10.1002/zamm.202100534

A novel hydro‐mechanical coupled multiphysics model for slurry penetration in sand with application to face stability analysis of shield tunnel

Jie Yang and Zhen‐Yu Yin
International Journal for Numerical and Analytical Methods in Geomechanics 47 (7) 1202 (2023)
https://doi.org/10.1002/nag.3511

Saddle points and Lagrange multipliers in Banach spaces

Ulisse Stefanelli and Augusto Visintin
Discrete and Continuous Dynamical Systems - S (2023)
https://doi.org/10.3934/dcdss.2023179

A unified non-local damage model for hydraulic fracture in porous media

Hongwei Zhang, Mostafa E. Mobasher, Zhenzhong Shen and Haim Waisman
Acta Geotechnica 18 (10) 5083 (2023)
https://doi.org/10.1007/s11440-023-01873-w

VARIATIONALLY DERIVED DISCONTINUOUS GALERKIN METHOD: APPLICATION TO DYNAMIC THERMOELASTICITY

Pinlei Chen and Arif Masud
International Journal for Multiscale Computational Engineering 21 (6) 1 (2023)
https://doi.org/10.1615/IntJMultCompEng.2023046768

A simplified primal‐dual weak Galerkin finite element method for Fokker–Planck‐type equations

Dan Li and Chunmei Wang
Numerical Methods for Partial Differential Equations 39 (5) 3942 (2023)
https://doi.org/10.1002/num.23031

Chiral symmetry breaking and entropy production in Dean vortices

Isabel Herreros and David Hochberg
Physics of Fluids 35 (4) (2023)
https://doi.org/10.1063/5.0142665

ORDER TWO SUPERCONVERGENCE OF THE CDG METHOD FOR THE STOKES EQUATIONS ON TRIANGLE/TETRAHEDRON

Xiu Ye and Shangyou Zhang
Journal of Applied Analysis & Computation 12 (6) 2578 (2022)
https://doi.org/10.11948/20220112

POD-Galerkin model order reduction for parametrized nonlinear time-dependent optimal flow control: an application to shallow water equations

Maria Strazzullo, Francesco Ballarin and Gianluigi Rozza
Journal of Numerical Mathematics 30 (1) 63 (2022)
https://doi.org/10.1515/jnma-2020-0098

Dynamic heat transfer in a tall annulus: Effects of the porous matrix for low Darcy numbers

Alessandro Mauro and Michela Ciccolella
Numerical Heat Transfer, Part A: Applications 82 (5) 217 (2022)
https://doi.org/10.1080/10407782.2022.2068885

Non-standard Discretisation Methods in Solid Mechanics

M. Igelbüscher, J. Schröder, A. Schwarz and G. Starke
Lecture Notes in Applied and Computational Mechanics, Non-standard Discretisation Methods in Solid Mechanics 98 149 (2022)
https://doi.org/10.1007/978-3-030-92672-4_6

Alternating direction based method for optimal control problem constrained by Stokes equation

Yu Gao, Jingzhi Li, Yongcun Song, Chao Wang and Kai Zhang
Journal of Inverse and Ill-posed Problems 30 (1) 81 (2022)
https://doi.org/10.1515/jiip-2020-0101

Non-standard Discretisation Methods in Solid Mechanics

Johannes Riesselmann, Jonas Wilhelm Ketteler, Mira Schedensack and Daniel Balzani
Lecture Notes in Applied and Computational Mechanics, Non-standard Discretisation Methods in Solid Mechanics 98 69 (2022)
https://doi.org/10.1007/978-3-030-92672-4_3

Updating $ QR $ factorization technique for solution of saddle point problems

Salman Zeb, Muhammad Yousaf, Aziz Khan, Bahaaeldin Abdalla and Thabet Abdeljawad
AIMS Mathematics 8 (1) 1672 (2022)
https://doi.org/10.3934/math.2023085

Thermodynamically consistent non-local damage formulation for fluid-driven fracture in poro-viscoelastic media

Yijun Chen, Mostafa E. Mobasher, Chongshi Gu, Dongjian Zheng and Haim Waisman
Acta Geotechnica 17 (11) 5321 (2022)
https://doi.org/10.1007/s11440-022-01557-x

An adaptive order finite element method for poroelastic materials described through the Biot equations

Stijn Jonckheere, Hadrien Bériot, Olivier Dazel and Wim Desmet
International Journal for Numerical Methods in Engineering 123 (5) 1329 (2022)
https://doi.org/10.1002/nme.6897

Optimal control of parameterized stationary Maxwell's system: Reduced basis, convergence analysis, and a posteriori error estimates

Quyen Tran, Harbir Antil and Hugo Díaz
Mathematical Control & Related Fields (2022)
https://doi.org/10.3934/mcrf.2022003

A comprehensive study of the onset of boundary layer separation in the unbounded flow around a circular cylinder

N. A. Malamataris, I. E. Sarris, D. P. Pazis and A. Liakos
Physics of Fluids 34 (10) (2022)
https://doi.org/10.1063/5.0101413

A Lowest-Degree Conservative Finite Element Scheme for Incompressible Stokes Problems on General Triangulations

Wenjia Liu and Shuo Zhang
Journal of Scientific Computing 93 (1) (2022)
https://doi.org/10.1007/s10915-022-01974-w

Hybridization of the rigorous coupled-wave approach with transformation optics for electromagnetic scattering by a surface-relief grating

B.J. Civiletti, A. Lakhtakia and P.B. Monk
Journal of Computational and Applied Mathematics 412 114338 (2022)
https://doi.org/10.1016/j.cam.2022.114338

Dynamic analysis of large deformation problems in saturated porous media by smoothed particle finite element method

Wei-Hai Yuan, Jin-Xin Zhu, Kang Liu, Wei Zhang, Bei-Bing Dai and Yuan Wang
Computer Methods in Applied Mechanics and Engineering 392 114724 (2022)
https://doi.org/10.1016/j.cma.2022.114724

Condition Number and Clustering-Based Efficiency Improvement of Reduced-Order Solvers for Contact Problems Using Lagrange Multipliers

Simon Le Berre, Isabelle Ramière, Jules Fauque and David Ryckelynck
Mathematics 10 (9) 1495 (2022)
https://doi.org/10.3390/math10091495

SOIL-WATER COUPLED ANALYSIS METHOD WITH CAM-CLAY MODEL BASED ON MULTIPLICATIVE DECOMPOSITION OF DEFORMATION GRADIENT

Tomoya KUBOTA, Shotaro YAMADA and Takashi KYOYA
Journal of Japan Society of Civil Engineers, Ser. C (Geosphere Engineering) 78 (3) 251 (2022)
https://doi.org/10.2208/jscejge.78.3_251

Simulation Opportunities by a Three-dimensional Calculation of Injection Moulding based on the Finite Element Method

W. Michaeli, S. Hoffmann, M. Kratz and K. Webelhaus
International Polymer Processing 16 (4) 398 (2022)
https://doi.org/10.1515/ipp-2001-0011

Non-standard Discretisation Methods in Solid Mechanics

Jörg Schröder, Peter Wriggers, Alex Kraus and Nils Viebahn
Lecture Notes in Applied and Computational Mechanics, Non-standard Discretisation Methods in Solid Mechanics 98 37 (2022)
https://doi.org/10.1007/978-3-030-92672-4_2

Incompressible flow modeling using an adaptive stabilized finite element method based on residual minimization

Felix E. Kyburg, Sergio Rojas and Victor M. Calo
International Journal for Numerical Methods in Engineering 123 (8) 1717 (2022)
https://doi.org/10.1002/nme.6912

A mixed, unified forward/inverse framework for earthquake problems: fault implementation and coseismic slip estimate

S Puel, E Khattatov, U Villa, et al.
Geophysical Journal International 230 (2) 733 (2022)
https://doi.org/10.1093/gji/ggac050

The Virtual Element Method and its Applications

Sebastian Naranjo Alvarez, Vrushali A. Bokil, Vitaliy Gyrya and Gianmarco Manzini
SEMA SIMAI Springer Series, The Virtual Element Method and its Applications 31 499 (2022)
https://doi.org/10.1007/978-3-030-95319-5_12

Weak Galerkin method for the Stokes equations with damping

Hui Peng and Qilong Zhai
Discrete & Continuous Dynamical Systems - B 27 (4) 1853 (2022)
https://doi.org/10.3934/dcdsb.2021112

A Stabilized Difference Finite Element Method for the 3D Steady Incompressible Navier-Stokes Equations

Xiaoli Lu, Pengzhan Huang, Xinlong Feng and Yinnian He
Journal of Scientific Computing 92 (3) (2022)
https://doi.org/10.1007/s10915-022-01928-2

Two-field formulations for isogeometric Reissner–Mindlin plates and shells with global and local condensation

G. Kikis and S. Klinkel
Computational Mechanics 69 (1) 1 (2022)
https://doi.org/10.1007/s00466-021-02080-8

A Numerical Framework for Geometrically Nonlinear Deformation of Flexoelectric Solids Immersed in an Electrostatic Medium

Moonhong Kim
Journal of Applied Mechanics 88 (8) (2021)
https://doi.org/10.1115/1.4050688

Numerical Mathematics and Advanced Applications ENUMATH 2019

Maria Strazzullo, Zakia Zainib, Francesco Ballarin and Gianluigi Rozza
Lecture Notes in Computational Science and Engineering, Numerical Mathematics and Advanced Applications ENUMATH 2019 139 841 (2021)
https://doi.org/10.1007/978-3-030-55874-1_83

Finite element modeling of spherical indentation in a poro‐elasto‐plastic medium via step displacement loading

Ming Liu and Haiying Huang
International Journal for Numerical and Analytical Methods in Geomechanics 45 (10) 1347 (2021)
https://doi.org/10.1002/nag.3205

Analysis of estimators for Stokes problem using a mixed approximation

El Akkad Abdeslam and Ahmed Elkhalfi
Boletim da Sociedade Paranaense de Matemática 39 (6) 105 (2021)
https://doi.org/10.5269/bspm.41354

A four-field mixed finite element method for Biot's consolidation problems

Wenya Qi, Padmanabhan Seshaiyer and Junping Wang
Electronic Research Archive 29 (3) 2517 (2021)
https://doi.org/10.3934/era.2020127

Finite element modeling of electro‐viscoelasticity in fiber reinforced electro‐active polymers

Anas Kanan and Michael Kaliske
International Journal for Numerical Methods in Engineering 122 (8) 2005 (2021)
https://doi.org/10.1002/nme.6610

A mixed finite element formulation for ductile damage modeling of thermoviscoplastic metals accounting for void shearing

João Paulo Pascon and Haim Waisman
Computational Mechanics 67 (5) 1307 (2021)
https://doi.org/10.1007/s00466-021-02000-w

Dirichlet and transmission problems for anisotropic stokes and Navier-Stokes systems with L tensor coefficient under relaxed ellipticity condition

Mirela Kohr, Sergey E. Mikhailov and Wolfgang L. Wendland
Discrete & Continuous Dynamical Systems 41 (9) 4421 (2021)
https://doi.org/10.3934/dcds.2021042

On the Stability of Mixed Finite-Element Formulations for High-Temperature Superconductors

Julien Dular, Mane Harutyunyan, Lorenzo Bortot, et al.
IEEE Transactions on Applied Superconductivity 31 (6) 1 (2021)
https://doi.org/10.1109/TASC.2021.3098724