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:

A unified fluid–solid formulation for thermo-mechanical problems using the Particle Finite Element Method: Application to metal additive manufacturing

Dorian Bogucki, Simon Février, Martin Lacroix, Eduardo Fernández, Luc Papeleux, Romain Boman and Jean-Philippe Ponthot
Computer Methods in Applied Mechanics and Engineering 459 119074 (2026)
https://doi.org/10.1016/j.cma.2026.119074

A higher-order cut-cell finite element method for elliptic equations in arbitrary planar domains

Yiping Wang, Donghao Li and Panayiotis Papadopoulos
Computer Methods in Applied Mechanics and Engineering 448 118483 (2026)
https://doi.org/10.1016/j.cma.2025.118483

Generalization of the total linearization method to three-dimensional free-surface flows

Tyler Benkley, Simone Deparis, Paolo Ricci and Andreas Mortensen
Computer Methods in Applied Mechanics and Engineering 451 118691 (2026)
https://doi.org/10.1016/j.cma.2025.118691

A space–time particle-position-based finite element formulation for free-surface flows

Darcy H.F.R. Moreira, Alessandro Franci, Sergio Idelsohn and Rodolfo A.K. Sanches
Finite Elements in Analysis and Design 256 104539 (2026)
https://doi.org/10.1016/j.finel.2026.104539

An effective and accurate semi-implicit time integration scheme for dynamics in nearly- and fully-incompressible hyperelastic solids

Edward M. Terrell, Marshall Davey, David R. Wells and Boyce E. Griffith
Journal of Computational Physics 564 115125 (2026)
https://doi.org/10.1016/j.jcp.2026.115125

DualNet: A weight-coupled neural network framework for stable physics-informed learning with order reduction

Yong Yang and Haibin Li
Expert Systems with Applications 327 132832 (2026)
https://doi.org/10.1016/j.eswa.2026.132832

On the penalty finite element method for density-based topology optimization of time-dependent incompressible fluid flow problems

Xin Zhang, Jingjie He, Xiaopeng Zhang, Jifeng Zhang and Yulong Ji
Structural and Multidisciplinary Optimization 69 (4) (2026)
https://doi.org/10.1007/s00158-026-04271-4

Stokes–Brinkman–Darcy models for fluid–porous systems: derivation, analysis and validation

Linheng Ruan and Iryna Rybak
Applied Mathematics and Computation 510 129687 (2026)
https://doi.org/10.1016/j.amc.2025.129687

Scalable augmented Lagrangian preconditioners for fictitious domain problems

Michele Benzi, Marco Feder, Luca Heltai and Federica Mugnaioni
Computer Methods in Applied Mechanics and Engineering 450 118522 (2026)
https://doi.org/10.1016/j.cma.2025.118522

Stabilized Finite Elements for Incompressible, Stationary Navier–Stokes Flows on Manifolds

Michael Wolfgang Kaiser and Thomas‐Peter Fries
Proceedings in Applied Mathematics and Mechanics 26 (2) (2026)
https://doi.org/10.1002/pamm.70117

Unconditional convergence and optimal error estimates of Galerkin-mixed FEMs for the nonlinear fully coupled thermo-poroelasticity model

Jing Zhang, Jian Huang and Hongxing Rui
Communications in Nonlinear Science and Numerical Simulation 110086 (2026)
https://doi.org/10.1016/j.cnsns.2026.110086

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 86 (11) 3953 (2025)
https://doi.org/10.1080/10407790.2024.2370515

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

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 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

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

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

A novel multiphysics-multiscale approach for seepage-induced erosion in granular slopes

Jie YANG, Zhen-Yu YIN, Pierre-Yves HICHER and Farid LAOUAFA
International Journal of Mechanical Sciences 111088 (2025)
https://doi.org/10.1016/j.ijmecsci.2025.111088

Simultaneous solution of incompressible Navier–Stokes flows on multiple surfaces

Michael Wolfgang Kaiser and Thomas-Peter Fries
Archive of Applied Mechanics 95 (10) (2025)
https://doi.org/10.1007/s00419-025-02935-z

A non-intrusive approach for the imposition of strong Dirichlet boundary conditions in unfitted boundary meshes

Juan Ignacio Camarotti, Ricky Aristio, Riccardo Rossi, Rubén Zorrilla and Roland Wüchner
Engineering with Computers 41 (6) 4417 (2025)
https://doi.org/10.1007/s00366-025-02207-y

A hybrid flux-preserving finite element for coupled flow deformation: Linear formulation

Simona Lo Franco, Michele Terzano, Guido Borino, Gerhard A. Holzapfel and Francesco Parrinello
Computer Methods in Applied Mechanics and Engineering 447 118351 (2025)
https://doi.org/10.1016/j.cma.2025.118351

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

Analysis of the Weak Formulation of a Coupled Nonlinear Parabolic System Modeling a Heat Exchanger

Kouma Ali Ouattara, Bomisso Gossrin Jean-Marc, Bérenger Akon Kpata, Touré Kidjégbo Augustin and Simeon Reich
Abstract and Applied Analysis 2025 (1) (2025)
https://doi.org/10.1155/aaa/9186981

Higher‐Order, Mixed‐Hybrid Finite Elements for Kirchhoff–Love Shells

Jonas Neumeyer, Michael Wolfgang Kaiser and Thomas‐Peter Fries
International Journal for Numerical Methods in Engineering 126 (21) (2025)
https://doi.org/10.1002/nme.70175

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

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

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

An a posteriori time error indicator for adaptive flow solvers

Javad Sekhavati, Ramon Codina, Joan Baiges and Ignacio Martínez-Suárez
Journal of Computational Physics 114258 (2025)
https://doi.org/10.1016/j.jcp.2025.114258

Asymptotic Analysis of Stokes Flow Through a Filter

Georges Griso, Larysa Khilkova and Julia Orlik
Mathematical Methods in the Applied Sciences 48 (13) 12913 (2025)
https://doi.org/10.1002/mma.11072

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

Roland Becker and Malte Braack
Computational Methods in Applied Mathematics 25 (3) 547 (2025)
https://doi.org/10.1515/cmam-2024-0187

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

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 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

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

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

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

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

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

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 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

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

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

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

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

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

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

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

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

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 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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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