Comptes Rendus
no. 21-22
Numerical Analysis
Ghost penalty
[La pénalisation fantôme]

Présenté par : Philippe G. Ciarlet

Erik Burman1
1 Department of Mathematics, University of Sussex, BN1 9RF Brighton, UK
Comptes Rendus. Mathématique, Volume 348 (2010) no. 21-22, pp. 1217-1220.

Dans cette Note nous étudions une méthode de pénalisation simple pour des méthodes de domaine fictif. La méthode permet de contrôler la sensibilité du nombre de conditionnement du système linéaire en fonction du positionement du domaine par rapport au maillage.

In this Note we discuss a simple penalty method that allows to increase the robustness of fictitious domain methods. In particular the condition number of the matrix can be upper bounded independently of how the domain boundary intersects the computational mesh, under rather weak assumptions.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2010.10.006

Erik Burman 1

1 Department of Mathematics, University of Sussex, BN1 9RF Brighton, UK 
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Erik Burman. Ghost penalty. Comptes Rendus. Mathématique, Volume 348 (2010) no. 21-22, pp. 1217-1220. doi : 10.1016/j.crma.2010.10.006. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2010.10.006/

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  • L. Noël; K. Maute XFEM level set-based topology optimization for turbulent conjugate heat transfer problems, Structural and Multidisciplinary Optimization, Volume 66 (2023) no. 1 | DOI:10.1007/s00158-022-03353-3
  • Erik Burman; Miguel A. Fernández; Fannie M. Gerosa Convergence Analysis of an Unfitted Mesh Semi-implicit Coupling Scheme for Incompressible Fluid-Structure Interaction, Vietnam Journal of Mathematics, Volume 51 (2023) no. 1, p. 37 | DOI:10.1007/s10013-022-00589-w
  • Sandra May; Florian Streitbürger DoD Stabilization for non-linear hyperbolic conservation laws on cut cell meshes in one dimension, Applied Mathematics and Computation, Volume 419 (2022), p. 126854 | DOI:10.1016/j.amc.2021.126854
  • Wadhah Garhuom; Khuldoon Usman; Alexander Düster An eigenvalue stabilization technique to increase the robustness of the finite cell method for finite strain problems, Computational Mechanics, Volume 69 (2022) no. 5, p. 1225 | DOI:10.1007/s00466-022-02140-7
  • L. Noël; M. Schmidt; K. Doble; J. A. Evans; K. Maute XIGA: An eXtended IsoGeometric analysis approach for multi-material problems, Computational Mechanics, Volume 70 (2022) no. 6, p. 1281 | DOI:10.1007/s00466-022-02200-y
  • Maxim Olshanskii; Annalisa Quaini; Qi Sun A Finite Element Method for Two-Phase Flow with Material Viscous Interface, Computational Methods in Applied Mathematics, Volume 22 (2022) no. 2, p. 443 | DOI:10.1515/cmam-2021-0185
  • Santiago Badia; Eric Neiva; Francesc Verdugo Linking ghost penalty and aggregated unfitted methods, Computer Methods in Applied Mechanics and Engineering, Volume 388 (2022), p. 114232 | DOI:10.1016/j.cma.2021.114232
  • Erik Burman; Omar Duran; Alexandre Ern Unfitted hybrid high-order methods for the wave equation, Computer Methods in Applied Mechanics and Engineering, Volume 389 (2022), p. 114366 | DOI:10.1016/j.cma.2021.114366
  • Christopher E. Kees; J. Haydel Collins; Alvin Zhang Simple, accurate, and efficient embedded finite element methods for fluid–solid interaction, Computer Methods in Applied Mechanics and Engineering, Volume 389 (2022), p. 114404 | DOI:10.1016/j.cma.2021.114404
  • Mirco Ciallella; Mario Ricchiuto; Renato Paciorri; Aldo Bonfiglioli Extrapolated DIscontinuity Tracking for complex 2D shock interactions, Computer Methods in Applied Mechanics and Engineering, Volume 391 (2022), p. 114543 | DOI:10.1016/j.cma.2021.114543
  • Hardik Kothari; Rolf Krause A generalized multigrid method for solving contact problems in Lagrange multiplier based unfitted Finite Element method, Computer Methods in Applied Mechanics and Engineering, Volume 392 (2022), p. 114630 | DOI:10.1016/j.cma.2022.114630
  • Erik Burman; Miguel A. Fernández; Stefan Frei; Fannie M. Gerosa A mechanically consistent model for fluid–structure interactions with contact including seepage, Computer Methods in Applied Mechanics and Engineering, Volume 392 (2022), p. 114637 | DOI:10.1016/j.cma.2022.114637
  • Sai C. Divi; Clemens V. Verhoosel; Ferdinando Auricchio; Alessandro Reali; E. Harald van Brummelen Topology-preserving scan-based immersed isogeometric analysis, Computer Methods in Applied Mechanics and Engineering, Volume 392 (2022), p. 114648 | DOI:10.1016/j.cma.2022.114648
  • Karl Larsson; Stefan Kollmannsberger; Ernst Rank; Mats G. Larson The finite cell method with least squares stabilized Nitsche boundary conditions, Computer Methods in Applied Mechanics and Engineering, Volume 393 (2022), p. 114792 | DOI:10.1016/j.cma.2022.114792
  • E. Mikaeili; S. Claus; P. Kerfriden Concurrent multiscale analysis without meshing: Microscale representation with CutFEM and micro/macro model blending, Computer Methods in Applied Mechanics and Engineering, Volume 393 (2022), p. 114807 | DOI:10.1016/j.cma.2022.114807
  • Nabil M. Atallah; Claudio Canuto; Guglielmo Scovazzi The high-order Shifted Boundary Method and its analysis, Computer Methods in Applied Mechanics and Engineering, Volume 394 (2022), p. 114885 | DOI:10.1016/j.cma.2022.114885
  • Zhijun Liu; Yimin Zhang; Yao Jiang; Han Yang; Yongtao Yang Unfitted finite element method for fully coupled poroelasticity with stabilization, Computer Methods in Applied Mechanics and Engineering, Volume 397 (2022), p. 115132 | DOI:10.1016/j.cma.2022.115132
  • Sacha El Aouad; Aurélien Larcher; Elie Hachem Anisotropic adaptive body-fitted meshes for CFD, Computer Methods in Applied Mechanics and Engineering, Volume 400 (2022), p. 115562 | DOI:10.1016/j.cma.2022.115562
  • Efthymios N. Karatzas; Monica Nonino; Francesco Ballarin; Gianluigi Rozza A Reduced Order Cut Finite Element method for geometrically parametrized steady and unsteady Navier–Stokes problems, Computers Mathematics with Applications, Volume 116 (2022), p. 140 | DOI:10.1016/j.camwa.2021.07.016
  • Santiago Badia; Eric Neiva; Francesc Verdugo Robust high-order unfitted finite elements by interpolation-based discrete extension, Computers Mathematics with Applications, Volume 127 (2022), p. 105 | DOI:10.1016/j.camwa.2022.09.027
  • Xiaoxiao He; Fei Song; Weibing Deng A stabilized nonconforming Nitsche's extended finite element method for Stokes interface problems, Discrete Continuous Dynamical Systems - B, Volume 27 (2022) no. 5, p. 2849 | DOI:10.3934/dcdsb.2021163
  • Erik Burman; Cuiyu He; Mats G Larson A posteriori error estimates with boundary correction for a cut finite element method, IMA Journal of Numerical Analysis, Volume 42 (2022) no. 1, p. 333 | DOI:10.1093/imanum/draa085
  • David Muñoz; José Albelda; Juan José Ródenas; Enrique Nadal Improvement in 3D topology optimization with h‐adaptive refinement using the Cartesian grid Finite Element Method, International Journal for Numerical Methods in Engineering, Volume 123 (2022) no. 13, p. 3045 | DOI:10.1002/nme.6652
  • Jordi Barceló‐Mercader; David Codony; Sonia Fernández‐Méndez; Irene Arias Weak enforcement of interface continuity and generalized periodicity in high‐order electromechanical problems, International Journal for Numerical Methods in Engineering, Volume 123 (2022) no. 4, p. 901 | DOI:10.1002/nme.6882
  • Mathias Anselmann; Markus Bause Cut finite element methods and ghost stabilization techniques for space‐time discretizations of the Navier–Stokes equations, International Journal for Numerical Methods in Fluids, Volume 94 (2022) no. 7, p. 775 | DOI:10.1002/fld.5074
  • Chennakesava Kadapa A Unified Simulation Framework for Fluid–Structure–Control Interaction Problems with Rigid and Flexible Structures, International Journal of Computational Methods, Volume 19 (2022) no. 01 | DOI:10.1142/s0219876221500523
  • Santiago Badia; Pere A. Martorell; Francesc Verdugo Geometrical discretisations for unfitted finite elements on explicit boundary representations, Journal of Computational Physics, Volume 460 (2022), p. 111162 | DOI:10.1016/j.jcp.2022.111162
  • Dmitri Kuzmin; Jan-Phillip Bäcker An unfitted finite element method using level set functions for extrapolation into deformable diffuse interfaces, Journal of Computational Physics, Volume 461 (2022), p. 111218 | DOI:10.1016/j.jcp.2022.111218
  • Alexandros Kontogiannis; Scott V. Elgersma; Andrew J. Sederman; Matthew P. Juniper Joint reconstruction and segmentation of noisy velocity images as an inverse Navier–Stokes problem, Journal of Fluid Mechanics, Volume 944 (2022) | DOI:10.1017/jfm.2022.503
  • Sai C Divi; Pieter H van Zuijlen; Tuong Hoang; Frits de Prenter; Ferdinando Auricchio; Alessandro Reali; E Harald van Brummelen; Clemens V Verhoosel Residual-based error estimation and adaptivity for stabilized immersed isogeometric analysis using truncated hierarchical B-splines, Journal of Mechanics, Volume 38 (2022), p. 204 | DOI:10.1093/jom/ufac015
  • Pei Fu; Thomas Frachon; Gunilla Kreiss; Sara Zahedi High Order Discontinuous Cut Finite Element Methods for Linear Hyperbolic Conservation Laws with an Interface, Journal of Scientific Computing, Volume 90 (2022) no. 3 | DOI:10.1007/s10915-021-01756-w
  • Santiago Badia; Jérôme Droniou; Liam Yemm Conditioning of a Hybrid High-Order Scheme on Meshes with Small Faces, Journal of Scientific Computing, Volume 92 (2022) no. 2 | DOI:10.1007/s10915-022-01913-9
  • Fanyi Yang; Xiaoping Xie An Unfitted Finite Element Method by Direct Extension for Elliptic Problems on Domains with Curved Boundaries and Interfaces, Journal of Scientific Computing, Volume 93 (2022) no. 3 | DOI:10.1007/s10915-022-02035-y
  • Erik Burman; Stefan Frei; Andre Massing Eulerian time-stepping schemes for the non-stationary Stokes equations on time-dependent domains, Numerische Mathematik, Volume 150 (2022) no. 2, p. 423 | DOI:10.1007/s00211-021-01264-x
  • Erik Burman; Peter Hansbo; Mats G. Larson CutFEM based on extended finite element spaces, Numerische Mathematik, Volume 152 (2022) no. 2, p. 331 | DOI:10.1007/s00211-022-01313-z
  • Yimin Lou; Christoph Lehrenfeld Isoparametric Unfitted BDF–Finite Element Method for PDEs on Evolving Domains, SIAM Journal on Numerical Analysis, Volume 60 (2022) no. 4, p. 2069 | DOI:10.1137/21m142126x
  • Erik Burman; Peter Hansbo; Mats G. Larson Explicit Time Stepping for the Wave Equation using CutFEM with Discrete Extension, SIAM Journal on Scientific Computing, Volume 44 (2022) no. 3, p. A1254 | DOI:10.1137/20m137937x
  • Sharanjeet Kaur; Jason E. Hicken, AIAA Scitech 2021 Forum (2021) | DOI:10.2514/6.2021-1939
  • Sofia Farina; Susanne Claus; Jack S. Hale; Alexander Skupin; Stéphane P. A. Bordas A cut finite element method for spatially resolved energy metabolism models in complex neuro-cell morphologies with minimal remeshing, Advanced Modeling and Simulation in Engineering Sciences, Volume 8 (2021) no. 1 | DOI:10.1186/s40323-021-00191-8
  • S. Claus; P. Kerfriden; F. Moshfeghifar; S. Darkner; K. Erleben; C. Wong Contact modeling from images using cut finite element solvers, Advanced Modeling and Simulation in Engineering Sciences, Volume 8 (2021) no. 1 | DOI:10.1186/s40323-021-00197-2
  • Lixing Zhu; Arif Masud Variationally derived interface stabilization for discrete multiphase flows and relation with the ghost-penalty method, Computer Methods in Applied Mechanics and Engineering, Volume 373 (2021), p. 113404 | DOI:10.1016/j.cma.2020.113404
  • Hailong Guo; Xu Yang; Yi Zhu Unfitted Nitsche’s method for computing band structures of phononic crystals with periodic inclusions, Computer Methods in Applied Mechanics and Engineering, Volume 380 (2021), p. 113743 | DOI:10.1016/j.cma.2021.113743
  • Jiarui Wang; Guohua Zhou; Michael Hillman; Anna Madra; Yuri Bazilevs; Jing Du; Kangning Su Consistent immersed volumetric Nitsche methods for composite analysis, Computer Methods in Applied Mechanics and Engineering, Volume 385 (2021), p. 114042 | DOI:10.1016/j.cma.2021.114042
  • J. Jomo; O. Oztoprak; F. de Prenter; N. Zander; S. Kollmannsberger; E. Rank Hierarchical multigrid approaches for the finite cell method on uniform and multi-level hp-refined grids, Computer Methods in Applied Mechanics and Engineering, Volume 386 (2021), p. 114075 | DOI:10.1016/j.cma.2021.114075
  • Bin Liu A Nitsche stabilized finite element method: Application for heat and mass transfer and fluid–structure interaction, Computer Methods in Applied Mechanics and Engineering, Volume 386 (2021), p. 114101 | DOI:10.1016/j.cma.2021.114101
  • Matthias Kirchhart On particles and splines in bounded domains, ESAIM: Mathematical Modelling and Numerical Analysis, Volume 55 (2021), p. S301 | DOI:10.1051/m2an/2020032
  • Daniela Capatina; Cuiyu He Flux recovery for Cut Finite Element Method and its application in a posteriori error estimation, ESAIM: Mathematical Modelling and Numerical Analysis, Volume 55 (2021) no. 6, p. 2759 | DOI:10.1051/m2an/2021071
  • Sumer B. Dilgen; Jakob S. Jensen; Niels Aage Shape optimization of the time-harmonic response of vibroacoustic devices using cut elements, Finite Elements in Analysis and Design, Volume 196 (2021), p. 103608 | DOI:10.1016/j.finel.2021.103608
  • Erik Burman; Guillaume Delay; Alexandre Ern An unfitted hybrid high-order method for the Stokes interface problem, IMA Journal of Numerical Analysis, Volume 41 (2021) no. 4, p. 2362 | DOI:10.1093/imanum/draa059
  • Marco Martinolli; Jacopo Biasetti; Stefano Zonca; Luc Polverelli; Christian Vergara Extended finite element method for fluid‐structure interaction in wave membrane blood pump, International Journal for Numerical Methods in Biomedical Engineering, Volume 37 (2021) no. 7 | DOI:10.1002/cnm.3467
  • Christoph Ager; Alexander Seitz; Wolfgang A. Wall A consistent and versatile computational approach for general fluid‐structure‐contact interaction problems, International Journal for Numerical Methods in Engineering, Volume 122 (2021) no. 19, p. 5279 | DOI:10.1002/nme.6556
  • Miguel A. Fernández; Fannie M. Gerosa An unfitted mesh semi‐implicit coupling scheme for fluid‐structure interaction with immersed solids, International Journal for Numerical Methods in Engineering, Volume 122 (2021) no. 19, p. 5384 | DOI:10.1002/nme.6449
  • Nabil M. Atallah; Claudio Canuto; Guglielmo Scovazzi The shifted boundary method for solid mechanics, International Journal for Numerical Methods in Engineering, Volume 122 (2021) no. 20, p. 5935 | DOI:10.1002/nme.6779
  • D. Codony; A. Mocci; J. Barceló-Mercader; I. Arias Mathematical and computational modeling of flexoelectricity, Journal of Applied Physics, Volume 130 (2021) no. 23 | DOI:10.1063/5.0067852
  • Oriol Colomés; Alex Main; Léo Nouveau; Guglielmo Scovazzi A weighted Shifted Boundary Method for free surface flow problems, Journal of Computational Physics, Volume 424 (2021), p. 109837 | DOI:10.1016/j.jcp.2020.109837
  • Eric B. Chin; Amir Ashkan Mokhtari; Ankit Srivastava; N. Sukumar Spectral extended finite element method for band structure calculations in phononic crystals, Journal of Computational Physics, Volume 427 (2021), p. 110066 | DOI:10.1016/j.jcp.2020.110066
  • Peiqi Huang; Zhilin Li Partially penalized IFE methods and convergence analysis for elasticity interface problems, Journal of Computational and Applied Mathematics, Volume 382 (2021), p. 113059 | DOI:10.1016/j.cam.2020.113059
  • Erik Burman; Cuiyu He; Mats G. Larson Comparison of Shape Derivatives Using CutFEM for Ill-posed Bernoulli Free Boundary Problem, Journal of Scientific Computing, Volume 88 (2021) no. 2 | DOI:10.1007/s10915-021-01544-6
  • Efthymios N. Karatzas; Gianluigi Rozza A Reduced Order Model for a Stable Embedded Boundary Parametrized Cahn–Hilliard Phase-Field System Based on Cut Finite Elements, Journal of Scientific Computing, Volume 89 (2021) no. 1 | DOI:10.1007/s10915-021-01623-8
  • Maxim Olshanskii; Annalisa Quaini; Qi Sun An Unfitted Finite Element Method for Two-Phase Stokes Problems with Slip Between Phases, Journal of Scientific Computing, Volume 89 (2021) no. 2 | DOI:10.1007/s10915-021-01658-x
  • Nabil Atallah; Claudio Canuto; Guglielmo Scovazzi Analysis of the shifted boundary method for the Poisson problem in domains with corners, Mathematics of Computation, Volume 90 (2021) no. 331, p. 2041 | DOI:10.1090/mcom/3641
  • Erik Burman; Guillaume Delay; Alexandre Ern The Unfitted HHO Method for the Stokes Problem on Curved Domains, Numerical Mathematics and Advanced Applications ENUMATH 2019, Volume 139 (2021), p. 389 | DOI:10.1007/978-3-030-55874-1_38
  • Florian Streitbürger; Christian Engwer; Sandra May; Andreas Nüßing Monotonicity Considerations for Stabilized DG Cut Cell Schemes for the Unsteady Advection Equation, Numerical Mathematics and Advanced Applications ENUMATH 2019, Volume 139 (2021), p. 929 | DOI:10.1007/978-3-030-55874-1_92
  • Henry von Wahl; Thomas Richter; Stefan Frei; Thomas Hagemeier Falling balls in a viscous fluid with contact: Comparing numerical simulations with experimental data, Physics of Fluids, Volume 33 (2021) no. 3 | DOI:10.1063/5.0037971
  • Felix Scholz; Bert Jüttler Using High-Order Transport Theorems for Implicitly Defined Moving Curves to Perform Quadrature on Planar Domains, SIAM Journal on Numerical Analysis, Volume 59 (2021) no. 4, p. 2138 | DOI:10.1137/20m1341283
  • Matthias Kirchhart; Christian Rieger Discrete Projections: A Step Towards Particle Methods on Bounded Domains without Remeshing, SIAM Journal on Scientific Computing, Volume 43 (2021) no. 1, p. A609 | DOI:10.1137/19m1299864
  • Erik Burman; Matteo Cicuttin; Guillaume Delay; Alexandre Ern An Unfitted Hybrid High-Order Method with Cell Agglomeration for Elliptic Interface Problems, SIAM Journal on Scientific Computing, Volume 43 (2021) no. 2, p. A859 | DOI:10.1137/19m1285901
  • Niels Aage; Reinier Giele; Casper Schousboe Andreasen Length scale control for high-resolution three-dimensional level set–based topology optimization, Structural and Multidisciplinary Optimization, Volume 64 (2021) no. 3, p. 1127 | DOI:10.1007/s00158-021-02904-4
  • P. Kerfriden; S. Claus; I. Mihai A mixed-dimensional CutFEM methodology for the simulation of fibre-reinforced composites, Advanced Modeling and Simulation in Engineering Sciences, Volume 7 (2020) no. 1 | DOI:10.1186/s40323-020-00154-5
  • Simon Sticko; Gustav Ludvigsson; Gunilla Kreiss High-order cut finite elements for the elastic wave equation, Advances in Computational Mathematics, Volume 46 (2020) no. 3 | DOI:10.1007/s10444-020-09785-z
  • Nabil M. Atallah; Claudio Canuto; Guglielmo Scovazzi Analysis of the shifted boundary method for the Stokes problem, Computer Methods in Applied Mechanics and Engineering, Volume 358 (2020), p. 112609 | DOI:10.1016/j.cma.2019.112609
  • Nabil M. Atallah; Claudio Canuto; Guglielmo Scovazzi The second-generation Shifted Boundary Method and its numerical analysis, Computer Methods in Applied Mechanics and Engineering, Volume 372 (2020), p. 113341 | DOI:10.1016/j.cma.2020.113341
  • Wadhah Garhuom; Simeon Hubrich; Lars Radtke; Alexander Düster A remeshing strategy for large deformations in the finite cell method, Computers Mathematics with Applications, Volume 80 (2020) no. 11, p. 2379 | DOI:10.1016/j.camwa.2020.03.020
  • Ruchi Guo; Tao Lin; Yanping Lin Error estimates for a partially penalized immersed finite element method for elasticity interface problems, ESAIM: Mathematical Modelling and Numerical Analysis, Volume 54 (2020) no. 1, p. 1 | DOI:10.1051/m2an/2019051
  • Erik Burman; Miguel A. Fernández; Stefan Frei A Nitsche-based formulation for fluid-structure interactions with contact, ESAIM: Mathematical Modelling and Numerical Analysis, Volume 54 (2020) no. 2, p. 531 | DOI:10.1051/m2an/2019072
  • S. Saberi; A. Vogel; G. Meschke Parallel Finite Cell Method with Adaptive Geometric Multigrid, Euro-Par 2020: Parallel Processing, Volume 12247 (2020), p. 578 | DOI:10.1007/978-3-030-57675-2_36
  • Sandra May Time-Dependent Conservation Laws on Cut Cell Meshes and the Small Cell Problem, Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples, Volume 323 (2020), p. 39 | DOI:10.1007/978-3-030-43651-3_3
  • Mats G Larson; Sara Zahedi Stabilization of high order cut finite element methods on surfaces, IMA Journal of Numerical Analysis, Volume 40 (2020) no. 3, p. 1702 | DOI:10.1093/imanum/drz021
  • Svenja Schoeder; Simon Sticko; Gunilla Kreiss; Martin Kronbichler High‐order cut discontinuous Galerkin methods with local time stepping for acoustics, International Journal for Numerical Methods in Engineering, Volume 121 (2020) no. 13, p. 2979 | DOI:10.1002/nme.6343
  • José Manuel Navarro‐Jiménez; Enrique Nadal; Manuel Tur; José Martínez‐Casas; Juan José Ródenas On the use of stabilization techniques in the Cartesian grid finite element method framework for iterative solvers, International Journal for Numerical Methods in Engineering, Volume 121 (2020) no. 13, p. 3004 | DOI:10.1002/nme.6344
  • Kangan Li; Nabil M. Atallah; G. Alex Main; Guglielmo Scovazzi The Shifted Interface Method: A flexible approach to embedded interface computations, International Journal for Numerical Methods in Engineering, Volume 121 (2020) no. 3, p. 492 | DOI:10.1002/nme.6231
  • Gilles Tissot; Robin Billard; Gwénaël Gabard Optimal cavity shape design for acoustic liners using Helmholtz equation with visco-thermal losses, Journal of Computational Physics, Volume 402 (2020), p. 109048 | DOI:10.1016/j.jcp.2019.109048
  • Mirco Ciallella; Mario Ricchiuto; Renato Paciorri; Aldo Bonfiglioli Extrapolated Shock Tracking: Bridging shock-fitting and embedded boundary methods, Journal of Computational Physics, Volume 412 (2020), p. 109440 | DOI:10.1016/j.jcp.2020.109440
  • B. Liu; D. Tan A Nitsche stabilized finite element method for embedded interfaces: Application to fluid-structure interaction and rigid-body contact, Journal of Computational Physics, Volume 413 (2020), p. 109461 | DOI:10.1016/j.jcp.2020.109461
  • Saihua Wang; Feng Wang; Xuejun Xu A Rigorous Condition Number Estimate of an Immersed Finite Element Method, Journal of Scientific Computing, Volume 83 (2020) no. 2 | DOI:10.1007/s10915-020-01212-1
  • A. Buffa; R. Puppi; R. Vázquez A Minimal Stabilization Procedure for Isogeometric Methods on Trimmed Geometries, SIAM Journal on Numerical Analysis, Volume 58 (2020) no. 5, p. 2711 | DOI:10.1137/19m1244718
  • Thomas Ludescher; Sven Gross; Arnold Reusken A Multigrid Method for Unfitted Finite Element Discretizations of Elliptic Interface Problems, SIAM Journal on Scientific Computing, Volume 42 (2020) no. 1, p. A318 | DOI:10.1137/18m1203353
  • Gilles Tissot; Gwenael Gabard, 25th AIAA/CEAS Aeroacoustics Conference (2019) | DOI:10.2514/6.2019-2471
  • Ernesto Castillo; Marcela A. Cruchaga; Joan Baiges; José Flores An oil sloshing study: adaptive fixed-mesh ALE analysis and comparison with experiments, Computational Mechanics, Volume 63 (2019) no. 5, p. 985 | DOI:10.1007/s00466-018-1633-2
  • Tuong Hoang; Clemens V. Verhoosel; Chao-Zhong Qin; Ferdinando Auricchio; Alessandro Reali; E. Harald van Brummelen Skeleton-stabilized immersogeometric analysis for incompressible viscous flow problems, Computer Methods in Applied Mechanics and Engineering, Volume 344 (2019), p. 421 | DOI:10.1016/j.cma.2018.10.015
  • Susanne Claus; Pierre Kerfriden A CutFEM method for two-phase flow problems, Computer Methods in Applied Mechanics and Engineering, Volume 348 (2019), p. 185 | DOI:10.1016/j.cma.2019.01.009
  • Ceren Gürkan; André Massing A stabilized cut discontinuous Galerkin framework for elliptic boundary value and interface problems, Computer Methods in Applied Mechanics and Engineering, Volume 348 (2019), p. 466 | DOI:10.1016/j.cma.2018.12.041
  • F. de Prenter; C.V. Verhoosel; E.H. van Brummelen Preconditioning immersed isogeometric finite element methods with application to flow problems, Computer Methods in Applied Mechanics and Engineering, Volume 348 (2019), p. 604 | DOI:10.1016/j.cma.2019.01.030
  • Daniel Elfverson; Mats G. Larson; Karl Larsson A new least squares stabilized Nitsche method for cut isogeometric analysis, Computer Methods in Applied Mechanics and Engineering, Volume 349 (2019), p. 1 | DOI:10.1016/j.cma.2019.02.011
  • Erik Burman; Daniel Elfverson; Peter Hansbo; Mats G. Larson; Karl Larsson Cut topology optimization for linear elasticity with coupling to parametric nondesign domain regions, Computer Methods in Applied Mechanics and Engineering, Volume 350 (2019), p. 462 | DOI:10.1016/j.cma.2019.03.016
  • C. Ager; B. Schott; M. Winter; W.A. Wall A Nitsche-based cut finite element method for the coupling of incompressible fluid flow with poroelasticity, Computer Methods in Applied Mechanics and Engineering, Volume 351 (2019), p. 253 | DOI:10.1016/j.cma.2019.03.015
  • Tobias Jonsson; Mats G. Larson; Karl Larsson Graded parametric CutFEM and CutIGA for elliptic boundary value problems in domains with corners, Computer Methods in Applied Mechanics and Engineering, Volume 354 (2019), p. 331 | DOI:10.1016/j.cma.2019.05.024
  • D. Codony; O. Marco; S. Fernández-Méndez; I. Arias An immersed boundary hierarchical B-spline method for flexoelectricity, Computer Methods in Applied Mechanics and Engineering, Volume 354 (2019), p. 750 | DOI:10.1016/j.cma.2019.05.036
  • Alexei Lozinski CutFEM without cutting the mesh cells: A new way to impose Dirichlet and Neumann boundary conditions on unfitted meshes, Computer Methods in Applied Mechanics and Engineering, Volume 356 (2019), p. 75 | DOI:10.1016/j.cma.2019.07.008
  • Felix Scholz; Bert Jüttler Numerical integration on trimmed three-dimensional domains with implicitly defined trimming surfaces, Computer Methods in Applied Mechanics and Engineering, Volume 357 (2019), p. 112577 | DOI:10.1016/j.cma.2019.112577
  • Ludovic Boilevin-Kayl; Miguel A. Fernández; Jean-Frédéric Gerbeau Numerical methods for immersed FSI with thin-walled structures, Computers Fluids, Volume 179 (2019), p. 744 | DOI:10.1016/j.compfluid.2018.05.024
  • Christoph Lehrenfeld; Maxim Olshanskii An Eulerian finite element method for PDEs in time-dependent domains, ESAIM: Mathematical Modelling and Numerical Analysis, Volume 53 (2019) no. 2, p. 585 | DOI:10.1051/m2an/2018068
  • Michel Duprez; Vanessa Lleras; Alexei Lozinski Finite element method with local damage of the mesh, ESAIM: Mathematical Modelling and Numerical Analysis, Volume 53 (2019) no. 6, p. 1871 | DOI:10.1051/m2an/2019023
  • Paola Antonietti; Marco Verani; Christian Vergara; Stefano Zonca Numerical solution of fluid-structure interaction problems by means of a high order Discontinuous Galerkin method on polygonal grids, Finite Elements in Analysis and Design, Volume 159 (2019), p. 1 | DOI:10.1016/j.finel.2019.02.002
  • J.N. Jomo; F. de Prenter; M. Elhaddad; D. D'Angella; C.V. Verhoosel; S. Kollmannsberger; J.S. Kirschke; V. Nübel; E.H. van Brummelen; E. Rank Robust and parallel scalable iterative solutions for large-scale finite cell analyses, Finite Elements in Analysis and Design, Volume 163 (2019), p. 14 | DOI:10.1016/j.finel.2019.01.009
  • Christoph Ager; Benedikt Schott; Anh‐Tu Vuong; Alexander Popp; Wolfgang A. Wall A consistent approach for fluid‐structure‐contact interaction based on a porous flow model for rough surface contact, International Journal for Numerical Methods in Engineering, Volume 119 (2019) no. 13, p. 1345 | DOI:10.1002/nme.6094
  • B. Schott; C. Ager; W.A. Wall A monolithic approach to fluid‐structure interaction based on a hybrid Eulerian‐ALE fluid domain decomposition involving cut elements, International Journal for Numerical Methods in Engineering, Volume 119 (2019) no. 3, p. 208 | DOI:10.1002/nme.6047
  • Benedikt Schott; Christoph Ager; Wolfgang A. Wall Monolithic cut finite element–based approaches for fluid‐structure interaction, International Journal for Numerical Methods in Engineering, Volume 119 (2019) no. 8, p. 757 | DOI:10.1002/nme.6072
  • Eric B. Chin; N. Sukumar Modeling curved interfaces without element‐partitioning in the extended finite element method, International Journal for Numerical Methods in Engineering, Volume 120 (2019) no. 5, p. 607 | DOI:10.1002/nme.6150
  • Thomas Frachon; Sara Zahedi A cut finite element method for incompressible two-phase Navier–Stokes flows, Journal of Computational Physics, Volume 384 (2019), p. 77 | DOI:10.1016/j.jcp.2019.01.028
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