EDP Sciences logo
Subscriber Authentication Point
Sciengine logo
Search
Menu
All issues ESAIM: M2AN, 48 3 (2014) 859-874 Article references

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:

Gap-SBM: A new conceptualization of the shifted boundary method with optimal convergence for the Neumann and Dirichlet problems

J. Haydel Collins, Kangan Li, Alexei Lozinski and Guglielmo Scovazzi
Computer Methods in Applied Mechanics and Engineering 453 118793 (2026)
https://doi.org/10.1016/j.cma.2026.118793

A weighted shifted boundary method for the Navier-Stokes equations with immersed moving boundaries

Danjie Xu, Oriol Colomés, Alex Main, Kangan Li, Nabil M. Atallah, Nabil Abboud and Guglielmo Scovazzi
Journal of Computational Physics 548 114571 (2026)
https://doi.org/10.1016/j.jcp.2025.114571

The generalized shifted boundary method for geometry-parametric PDEs and time-dependent domains

Oriol Colomés, Jan Modderman and Guglielmo Scovazzi
Computer Methods in Applied Mechanics and Engineering 452 118748 (2026)
https://doi.org/10.1016/j.cma.2026.118748

A mixed Nitsche extended finite element method for Biot’s consolidation interface problems

Nan Wang, Lijie Yin and Jinru Chen
Journal of Computational and Applied Mathematics 487 117672 (2026)
https://doi.org/10.1016/j.cam.2026.117672

A cut finite element method for the Biot system of poroelasticity

Nanna Berre, Kent-Andre Mardal, André Massing and Ivan Yotov
Computer Methods in Applied Mechanics and Engineering 458 119048 (2026)
https://doi.org/10.1016/j.cma.2026.119048

Adaptive immersed isogeometric level-set topology optimization

Mathias R. Schmidt, Lise Noël, Nils Wunsch, Keenan Doble, John A. Evans and Kurt Maute
Structural and Multidisciplinary Optimization 68 (1) (2025)
https://doi.org/10.1007/s00158-024-03921-9

On the Numerical Evaluation of Wall Shear Stress Using the Finite Element Method

Jana Brunátová, Jørgen S. Dokken, Kristian Valen‐Sendstad and Jaroslav Hron
International Journal for Numerical Methods in Biomedical Engineering 41 (9) (2025)
https://doi.org/10.1002/cnm.70086

Mixed Nitsche extended finite element method for solving three-dimensional H(curl)-elliptic interface problems

Nan Wang, Hanyu Chu, Jinru Chen and Ying Cai
Computers & Mathematics with Applications 199 22 (2025)
https://doi.org/10.1016/j.camwa.2025.08.031

Stabilized Nitsche-Type CIP/GP CutFEM for Two-Phase Flow Applications

Himali Gammanpila, Eugenio Aulisa and Andrea Chierici
Mathematics 13 (17) 2853 (2025)
https://doi.org/10.3390/math13172853

Enriched immersed finite element and isogeometric analysis: algorithms and data structures

Nils Wunsch, Keenan Doble, Mathias R. Schmidt, Lise Noël, John A. Evans and Kurt Maute
Engineering with Computers 41 (6) 3919 (2025)
https://doi.org/10.1007/s00366-025-02163-7

Finite Element Fictitious Domain Method for Elliptic PDEs Over Curved‐Complex Domains

Swapnil Kale and Debasish Pradhan
Mathematical Methods in the Applied Sciences 48 (9) 9508 (2025)
https://doi.org/10.1002/mma.10814

Stability of instantaneous pressures in an Eulerian finite element method for moving boundary flow problems

Maxim Olshanskii and Henry von Wahl
Journal of Computational Physics 533 113983 (2025)
https://doi.org/10.1016/j.jcp.2025.113983

Numerical simulations of fully Eulerian fluid-structure contact interaction using a ghost-penalty cut finite element approach

Stefan Frei, Tobias Knoke, Marc C. Steinbach, Anne-Kathrin Wenske and Thomas Wick
Advances in Computational Science and Engineering 3 74 (2025)
https://doi.org/10.3934/acse.2025005

A Stable Poro‐Mechanical Formulation for Material Point Methods Leveraging Overlapping Meshes and Multi‐Field Ghost Penalisation

Giuliano Pretti, Robert E. Bird, Nathan D. Gavin, William M. Coombs and Charles E. Augarde
International Journal for Numerical Methods in Engineering 126 (5) (2025)
https://doi.org/10.1002/nme.7630

Density-based hole seeding in XFEM level-set topology optimization of fluid problems

Lukas C. Høghøj, Casper Schousboe Andreasen and Kurt Maute
Structural and Multidisciplinary Optimization 68 (2) (2025)
https://doi.org/10.1007/s00158-024-03956-y

Stabilized Unfitted Finite Element Method for Poroelasticity With Weak Discontinuity

Zhijun Liu, Yuxin Tong, Yimin Zhang, Hong Zheng and Fanyu Zhang
Journal of Geophysical Research: Solid Earth 130 (1) (2025)
https://doi.org/10.1029/2024JB030155

Nonlinear elasticity with the Shifted Boundary Method

Nabil M. Atallah and Guglielmo Scovazzi
Computer Methods in Applied Mechanics and Engineering 426 116988 (2024)
https://doi.org/10.1016/j.cma.2024.116988

Topology optimization of steady Navier-Stokes flow using moving morphable void method

Chunxiu Wang, Lixue Fang, Xuan Wang, Huanlin Zhou and Xin Guo
Computers & Mathematics with Applications 161 212 (2024)
https://doi.org/10.1016/j.camwa.2024.03.009

Unfitted generalized finite element methods for Dirichlet problems without penalty or stabilization

Qinghui Zhang
Numerical Methods for Partial Differential Equations 40 (3) (2024)
https://doi.org/10.1002/num.23081

A weighted shifted boundary method for immersed moving boundary simulations of Stokes' flow

Danjie Xu, Oriol Colomés, Alex Main, Kangan Li, Nabil M. Atallah, Nabil Abboud and Guglielmo Scovazzi
Journal of Computational Physics 510 113095 (2024)
https://doi.org/10.1016/j.jcp.2024.113095

Low-order fictitious domain method with enhanced mass conservation for an interface stokes problem

Daniele C. Corti, Guillaume Delay, Miguel A. Fernández, Fabien Vergnet and Marina Vidrascu
ESAIM: Mathematical Modelling and Numerical Analysis 58 (1) 303 (2024)
https://doi.org/10.1051/m2an/2023103

Fictitious domain method: A stabilized post-processing technique for boundary-flux calculation using cut elements

Ismaël Tchinda Ngueyong and José Manuel Urquiza
Computer Methods in Applied Mechanics and Engineering 418 116509 (2024)
https://doi.org/10.1016/j.cma.2023.116509

A Nitsche‐based cut finite element solver for two‐phase Stefan problems

Ismaël Tchinda Ngueyong, José Manuel Urquiza and Dave Martin
International Journal for Numerical Methods in Engineering 125 (6) (2024)
https://doi.org/10.1002/nme.7408

Stokes problem with slip boundary conditions using stabilized finite elements combined with Nitsche

Rodolfo Araya, Alfonso Caiazzo and Franz Chouly
Computer Methods in Applied Mechanics and Engineering 427 117037 (2024)
https://doi.org/10.1016/j.cma.2024.117037

Optimal surrogate boundary selection and scalability studies for the shifted boundary method on octree meshes

Cheng-Hau Yang, Kumar Saurabh, Guglielmo Scovazzi, Claudio Canuto, Adarsh Krishnamurthy and Baskar Ganapathysubramanian
Computer Methods in Applied Mechanics and Engineering 419 116686 (2024)
https://doi.org/10.1016/j.cma.2023.116686

A CutFEM method for phase change problems with natural convection

Ismaël Tchinda Ngueyong, José Manuel Urquiza and Dave Martin
Computer Methods in Applied Mechanics and Engineering 420 116713 (2024)
https://doi.org/10.1016/j.cma.2023.116713

Cut Finite Element Method for Divergence-Free Approximation of Incompressible Flow: A Lagrange Multiplier Approach

Erik Burman, Peter Hansbo and Mats Larson
SIAM Journal on Numerical Analysis 62 (2) 893 (2024)
https://doi.org/10.1137/22M1542933

XFEM level set-based topology optimization for turbulent conjugate heat transfer problems

L. Noël and K. Maute
Structural and Multidisciplinary Optimization 66 (1) (2023)
https://doi.org/10.1007/s00158-022-03353-3

Convergence Analysis of an Unfitted Mesh Semi-implicit Coupling Scheme for Incompressible Fluid-Structure Interaction

Erik Burman, Miguel A. Fernández and Fannie M. Gerosa
Vietnam Journal of Mathematics 51 (1) 37 (2023)
https://doi.org/10.1007/s10013-022-00589-w

A high-accuracy framework for phase-field fracture interface reconstructions with application to Stokes fluid-filled fracture surrounded by an elastic medium

Henry von Wahl and Thomas Wick
Computer Methods in Applied Mechanics and Engineering 415 116202 (2023)
https://doi.org/10.1016/j.cma.2023.116202

A cutFEM divergence–free discretization for the stokes problem

Haoran Liu, Michael Neilan and Maxim Olshanskii
ESAIM: Mathematical Modelling and Numerical Analysis 57 (1) 143 (2023)
https://doi.org/10.1051/m2an/2022072

Extended isogeometric analysis of multi-material and multi-physics problems using hierarchical B-splines

Mathias Schmidt, Lise Noël, Keenan Doble, John A. Evans and Kurt Maute
Computational Mechanics 71 (6) 1179 (2023)
https://doi.org/10.1007/s00466-023-02306-x

An enriched shifted boundary method to account for moving fronts

T. Carlier, L. Nouveau, H. Beaugendre, M. Colin and M. Ricchiuto
Journal of Computational Physics 489 112295 (2023)
https://doi.org/10.1016/j.jcp.2023.112295

A quasi-conforming embedded reproducing kernel particle method for heterogeneous materials

Ryan T. Schlinkman, Jonghyuk Baek, Frank N. Beckwith, Stacy M. Nelson and J.S. Chen
Computer Methods in Applied Mechanics and Engineering 416 116363 (2023)
https://doi.org/10.1016/j.cma.2023.116363

Topology optimization under microscale uncertainty using stochastic gradients

Subhayan De, Kurt Maute and Alireza Doostan
Structural and Multidisciplinary Optimization 66 (1) (2023)
https://doi.org/10.1007/s00158-022-03417-4

ϕ-FEM: an optimally convergent and easily implementable immersed boundary method for particulate flows and Stokes equations

Michel Duprez, Vanessa Lleras and Alexei Lozinski
ESAIM: Mathematical Modelling and Numerical Analysis 57 (3) 1111 (2023)
https://doi.org/10.1051/m2an/2023010

Error estimates of fictitious domain method with an $$H^1$$ penalty approach for elliptic problems

Swapnil Kale and Debasish Pradhan
Computational and Applied Mathematics 41 (1) (2022)
https://doi.org/10.1007/s40314-021-01731-z

XIGA: An eXtended IsoGeometric analysis approach for multi-material problems

L. Noël, M. Schmidt, K. Doble, J. A. Evans and K. Maute
Computational Mechanics 70 (6) 1281 (2022)
https://doi.org/10.1007/s00466-022-02200-y

An Unfitted Finite Element Method by Direct Extension for Elliptic Problems on Domains with Curved Boundaries and Interfaces

Fanyi Yang and Xiaoping Xie
Journal of Scientific Computing 93 (3) (2022)
https://doi.org/10.1007/s10915-022-02035-y

Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains

Erik Burman, Stefan Frei and Andre Massing
Numerische Mathematik 150 (2) 423 (2022)
https://doi.org/10.1007/s00211-021-01264-x

Equal Higher Order Analysis of an Unfitted Discontinuous Galerkin Method for Stokes Flow Systems

Aikaterini Aretaki, Efthymios N. Karatzas and Georgios Katsouleas
Journal of Scientific Computing 91 (2) (2022)
https://doi.org/10.1007/s10915-022-01823-w

A dissimilar non-matching HDG discretization for Stokes flows

Jaime Manríquez, Ngoc-Cuong Nguyen and Manuel Solano
Computer Methods in Applied Mechanics and Engineering 399 115292 (2022)
https://doi.org/10.1016/j.cma.2022.115292

Cut finite element methods and ghost stabilization techniques for space‐time discretizations of the Navier–Stokes equations

Mathias Anselmann and Markus Bause
International Journal for Numerical Methods in Fluids 94 (7) 775 (2022)
https://doi.org/10.1002/fld.5074

An improved stress recovery technique for the unfitted finite element analysis of discontinuous gradient fields

Jian Zhang and Alejandro M. Aragón
International Journal for Numerical Methods in Engineering 123 (3) 639 (2022)
https://doi.org/10.1002/nme.6825

An unfitted Eulerian finite element method for the time-dependent Stokes problem on moving domains

Henry von Wahl, Thomas Richter and Christoph Lehrenfeld
IMA Journal of Numerical Analysis 42 (3) 2505 (2022)
https://doi.org/10.1093/imanum/drab044

Variational Multiscale immersed boundary method for incompressible turbulent flows

Soonpil Kang and Arif Masud
Journal of Computational Physics 469 111523 (2022)
https://doi.org/10.1016/j.jcp.2022.111523

Corrected finite element methods on unfitted meshes for Stokes moving interface problem

Genaro Laymuns and Manuel A. Sánchez
Computers & Mathematics with Applications 108 159 (2022)
https://doi.org/10.1016/j.camwa.2021.12.018

Topology-preserving scan-based immersed isogeometric analysis

Sai C. Divi, Clemens V. Verhoosel, Ferdinando Auricchio, Alessandro Reali and E. Harald van Brummelen
Computer Methods in Applied Mechanics and Engineering 392 114648 (2022)
https://doi.org/10.1016/j.cma.2022.114648

Extrapolated DIscontinuity Tracking for complex 2D shock interactions

Mirco Ciallella, Mario Ricchiuto, Renato Paciorri and Aldo Bonfiglioli
Computer Methods in Applied Mechanics and Engineering 391 114543 (2022)
https://doi.org/10.1016/j.cma.2021.114543

Unfitted finite element method for fully coupled poroelasticity with stabilization

Zhijun Liu, Yimin Zhang, Yao Jiang, Han Yang and Yongtao Yang
Computer Methods in Applied Mechanics and Engineering 397 115132 (2022)
https://doi.org/10.1016/j.cma.2022.115132

Analysis of an unfitted mixed finite element method for a class of quasi-Newtonian Stokes flow

Ricardo Oyarzúa, Manuel Solano and Paulo Zúñiga
Computers & Mathematics with Applications 114 225 (2022)
https://doi.org/10.1016/j.camwa.2022.03.039

A Reduced Order Cut Finite Element method for geometrically parametrized steady and unsteady Navier–Stokes problems

Efthymios N. Karatzas, Monica Nonino, Francesco Ballarin and Gianluigi Rozza
Computers & Mathematics with Applications 116 140 (2022)
https://doi.org/10.1016/j.camwa.2021.07.016

The high-order Shifted Boundary Method and its analysis

Nabil M. Atallah, Claudio Canuto and Guglielmo Scovazzi
Computer Methods in Applied Mechanics and Engineering 394 114885 (2022)
https://doi.org/10.1016/j.cma.2022.114885

Octree-based integration scheme with merged sub-cells for the finite cell method: Application to non-linear problems in 3D

Márton Petö, Wadhah Garhuom, Fabian Duvigneau, Sascha Eisenträger, Alexander Düster and Daniel Juhre
Computer Methods in Applied Mechanics and Engineering 401 115565 (2022)
https://doi.org/10.1016/j.cma.2022.115565

Using a deep neural network to predict the motion of underresolved triangular rigid bodies in an incompressible flow

Henry von Wahl and Thomas Richter
International Journal for Numerical Methods in Fluids 93 (12) 3364 (2021)
https://doi.org/10.1002/fld.5037

A discontinuous Nitsche‐based finite element formulation for the imposition of the Navier‐slip condition over embedded volumeless geometries

Rubén Zorrilla, Antonia Larese de Tetto and Riccardo Rossi
International Journal for Numerical Methods in Fluids 93 (9) 2968 (2021)
https://doi.org/10.1002/fld.5018

The shifted boundary method for solid mechanics

Nabil M. Atallah, Claudio Canuto and Guglielmo Scovazzi
International Journal for Numerical Methods in Engineering 122 (20) 5935 (2021)
https://doi.org/10.1002/nme.6779

A weighted Shifted Boundary Method for free surface flow problems

Oriol Colomés, Alex Main, Léo Nouveau and Guglielmo Scovazzi
Journal of Computational Physics 424 109837 (2021)
https://doi.org/10.1016/j.jcp.2020.109837

Enhanced numerical integration scheme based on image compression techniques: Application to rational polygonal interpolants

Márton Petö, Fabian Duvigneau, Daniel Juhre and Sascha Eisenträger
Archive of Applied Mechanics 91 (2) 753 (2021)
https://doi.org/10.1007/s00419-020-01772-6

A consistent computational approach for general fluid-poroelasticity-structure-contact interaction problems

C. Ager, A. Seitz and W.A. Wall
Journal of Computational Physics 441 110450 (2021)
https://doi.org/10.1016/j.jcp.2021.110450

A consistent and versatile computational approach for general fluid‐structure‐contact interaction problems

Christoph Ager, Alexander Seitz and Wolfgang A. Wall
International Journal for Numerical Methods in Engineering 122 (19) 5279 (2021)
https://doi.org/10.1002/nme.6556

Higher order Galerkin–collocation time discretization with Nitsche’s method for the Navier–Stokes equations

Mathias Anselmann and Markus Bause
Mathematics and Computers in Simulation 189 141 (2021)
https://doi.org/10.1016/j.matcom.2020.10.027

A Monolithic and a Partitioned, Reduced Basis Method for Fluid–Structure Interaction Problems

Monica Nonino, Francesco Ballarin and Gianluigi Rozza
Fluids 6 (6) 229 (2021)
https://doi.org/10.3390/fluids6060229

Variationally derived interface stabilization for discrete multiphase flows and relation with the ghost-penalty method

Lixing Zhu and Arif Masud
Computer Methods in Applied Mechanics and Engineering 373 113404 (2021)
https://doi.org/10.1016/j.cma.2020.113404

A Reduced Order Model for a Stable Embedded Boundary Parametrized Cahn–Hilliard Phase-Field System Based on Cut Finite Elements

Efthymios N. Karatzas and Gianluigi Rozza
Journal of Scientific Computing 89 (1) (2021)
https://doi.org/10.1007/s10915-021-01623-8

Topology optimization under uncertainty using a stochastic gradient-based approach

Subhayan De, Jerrad Hampton, Kurt Maute and Alireza Doostan
Structural and Multidisciplinary Optimization 62 (5) 2255 (2020)
https://doi.org/10.1007/s00158-020-02599-z

Projection-based reduced order models for a cut finite element method in parametrized domains

Efthymios N. Karatzas, Francesco Ballarin and Gianluigi Rozza
Computers & Mathematics with Applications 79 (3) 833 (2020)
https://doi.org/10.1016/j.camwa.2019.08.003

Enhanced numerical integration scheme based on image-compression techniques: application to fictitious domain methods

Márton Petö, Fabian Duvigneau and Sascha Eisenträger
Advanced Modeling and Simulation in Engineering Sciences 7 (1) (2020)
https://doi.org/10.1186/s40323-020-00157-2

Stabilized Cut Discontinuous Galerkin Methods for Advection-Reaction Problems

Ceren Gürkan, Simon Sticko and André Massing
SIAM Journal on Scientific Computing 42 (5) A2620 (2020)
https://doi.org/10.1137/18M1206461

Hole seeding in level set topology optimization via density fields

Jorge L. Barrera, Markus J. Geiss and Kurt Maute
Structural and Multidisciplinary Optimization 61 (4) 1319 (2020)
https://doi.org/10.1007/s00158-019-02480-8

Topology optimization of multiple deformable bodies in contact with large deformations

Felipe Fernandez, Michael A. Puso, Jerome Solberg and Daniel A. Tortorelli
Computer Methods in Applied Mechanics and Engineering 371 113288 (2020)
https://doi.org/10.1016/j.cma.2020.113288

Simultaneous material, shape and topology optimization

Felipe Fernandez, Andrew T. Barker, Jun Kudo, James P. Lewicki, Kenneth Swartz, Daniel A. Tortorelli, Seth Watts, Daniel A. White and Jonathan Wong
Computer Methods in Applied Mechanics and Engineering 371 113321 (2020)
https://doi.org/10.1016/j.cma.2020.113321

Adaptive level set topology optimization using hierarchical B-splines

L. Noël, M. Schmidt, C. Messe, J.A. Evans and K. Maute
Structural and Multidisciplinary Optimization 62 (4) 1669 (2020)
https://doi.org/10.1007/s00158-020-02584-6

$\phi$-FEM: A Finite Element Method on Domains Defined by Level-Sets

Michel Duprez and Alexei Lozinski
SIAM Journal on Numerical Analysis 58 (2) 1008 (2020)
https://doi.org/10.1137/19M1248947

Taylor-Series Expansion Based Numerical Methods: A Primer, Performance Benchmarking and New Approaches for Problems with Non-smooth Solutions

Thibault Jacquemin, Satyendra Tomar, Konstantinos Agathos, Shoya Mohseni-Mofidi and Stéphane P. A. Bordas
Archives of Computational Methods in Engineering 27 (5) 1465 (2020)
https://doi.org/10.1007/s11831-019-09357-5

A priori and a posteriori error analyses of a high order unfitted mixed-FEM for Stokes flow

Ricardo Oyarzúa, Manuel Solano and Paulo Zúñiga
Computer Methods in Applied Mechanics and Engineering 360 112780 (2020)
https://doi.org/10.1016/j.cma.2019.112780

Extrapolated Shock Tracking: Bridging shock-fitting and embedded boundary methods

Mirco Ciallella, Mario Ricchiuto, Renato Paciorri and Aldo Bonfiglioli
Journal of Computational Physics 412 109440 (2020)
https://doi.org/10.1016/j.jcp.2020.109440

eXtended hybridizable discontinuous Galerkin for incompressible flow problems with unfitted meshes and interfaces

Ceren Gürkan, Martin Kronbichler and Sonia Fernández-Méndez
International Journal for Numerical Methods in Engineering 117 (7) 756 (2019)
https://doi.org/10.1002/nme.5975

Numerical Mathematics and Advanced Applications ENUMATH 2017

Erik Burman, Peter Hansbo and Mats G. Larson
Lecture Notes in Computational Science and Engineering, Numerical Mathematics and Advanced Applications ENUMATH 2017 126 183 (2019)
https://doi.org/10.1007/978-3-319-96415-7_15

An oil sloshing study: adaptive fixed-mesh ALE analysis and comparison with experiments

Ernesto Castillo, Marcela A. Cruchaga, Joan Baiges and José Flores
Computational Mechanics 63 (5) 985 (2019)
https://doi.org/10.1007/s00466-018-1633-2

Skeleton-stabilized immersogeometric analysis for incompressible viscous flow problems

Tuong Hoang, Clemens V. Verhoosel, Chao-Zhong Qin, et al.
Computer Methods in Applied Mechanics and Engineering 344 421 (2019)
https://doi.org/10.1016/j.cma.2018.10.015

A monolithic approach to fluid‐structure interaction based on a hybrid Eulerian‐ALE fluid domain decomposition involving cut elements

B. Schott, C. Ager and W.A. Wall
International Journal for Numerical Methods in Engineering 119 (3) 208 (2019)
https://doi.org/10.1002/nme.6047

Finite element method for incompressible viscous flow with immersed pressure jumps with applications to actuator disks and microfluidics

Roberto Ausas, Gustavo Buscaglia and Vitoriano Ruas
Journal of the Brazilian Society of Mechanical Sciences and Engineering 41 (11) (2019)
https://doi.org/10.1007/s40430-019-2017-z

A Nitsche-based cut finite element method for the coupling of incompressible fluid flow with poroelasticity

C. Ager, B. Schott, M. Winter and W.A. Wall
Computer Methods in Applied Mechanics and Engineering 351 253 (2019)
https://doi.org/10.1016/j.cma.2019.03.015