Fictitious domain methods using cut elements: III. A stabilized Nitsche method for Stokes’ problem
ESAIM: M2AN, 48 3 (2014) 859-874
Published online: 2014-04-22
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):
CutFEM without cutting the mesh cells: A new way to impose Dirichlet and Neumann boundary conditions on unfitted meshes
Alexei LozinskiComputer Methods in Applied Mechanics and Engineering 356 75 (2019)
https://doi.org/10.1016/j.cma.2019.07.008
Isogeometric Analysis on V-reps: First results
Pablo Antolin, Annalisa Buffa and Massimiliano MartinelliComputer Methods in Applied Mechanics and Engineering 355 976 (2019)
https://doi.org/10.1016/j.cma.2019.07.015
A stabilized cut discontinuous Galerkin framework for elliptic boundary value and interface problems
Ceren Gürkan and André MassingComputer Methods in Applied Mechanics and Engineering 348 466 (2019)
https://doi.org/10.1016/j.cma.2018.12.041
A regularization scheme for explicit level-set XFEM topology optimization
Markus J. Geiss, Jorge L. Barrera, Narasimha Boddeti and Kurt MauteFrontiers of Mechanical Engineering 14 (2) 153 (2019)
https://doi.org/10.1007/s11465-019-0533-2
Monolithic cut finite element–based approaches for fluid‐structure interaction
Benedikt Schott, Christoph Ager and Wolfgang A. WallInternational Journal for Numerical Methods in Engineering 119 (8) 757 (2019)
https://doi.org/10.1002/nme.6072
An Eulerian finite element method for PDEs in time-dependent domains
Christoph Lehrenfeld and Maxim OlshanskiiESAIM: Mathematical Modelling and Numerical Analysis 53 (2) 585 (2019)
https://doi.org/10.1051/m2an/2018068
Error analysis of Nitsche’s mortar method
Tom Gustafsson, Rolf Stenberg and Juha VidemanNumerische Mathematik 142 (4) 973 (2019)
https://doi.org/10.1007/s00211-019-01039-5
High-order gradients with the shifted boundary method: An embedded enriched mixed formulation for elliptic PDEs
L. Nouveau, M. Ricchiuto and G. ScovazziJournal of Computational Physics 398 108898 (2019)
https://doi.org/10.1016/j.jcp.2019.108898
The shifted boundary method for hyperbolic systems: Embedded domain computations of linear waves and shallow water flows
T. Song, A. Main, G. Scovazzi and M. RicchiutoJournal of Computational Physics 369 45 (2018)
https://doi.org/10.1016/j.jcp.2018.04.052
A stabilised immersed framework on hierarchical b-spline grids for fluid-flexible structure interaction with solid–solid contact
C. Kadapa, W.G. Dettmer and D. PerićComputer Methods in Applied Mechanics and Engineering 335 472 (2018)
https://doi.org/10.1016/j.cma.2018.02.021
Stress-based topology optimization using spatial gradient stabilized XFEM
Ashesh Sharma and Kurt MauteStructural and Multidisciplinary Optimization 57 (1) 17 (2018)
https://doi.org/10.1007/s00158-017-1833-y
Gradient recovery for elliptic interface problem: III. Nitsche's method
Hailong Guo and Xu YangJournal of Computational Physics 356 46 (2018)
https://doi.org/10.1016/j.jcp.2017.11.031
A time dependent Stokes interface problem: well-posedness and space-time finite element discretization
Igor Voulis and Arnold ReuskenESAIM: Mathematical Modelling and Numerical Analysis 52 (6) 2187 (2018)
https://doi.org/10.1051/m2an/2018053
The shifted boundary method for embedded domain computations. Part II: Linear advection–diffusion and incompressible Navier–Stokes equations
A. Main and G. ScovazziJournal of Computational Physics 372 996 (2018)
https://doi.org/10.1016/j.jcp.2018.01.023
The fictitious domain method with L2‐penalty for the Stokes problem with the Dirichlet boundary condition
Guanyu ZhouNumerical Methods for Partial Differential Equations 34 (3) 881 (2018)
https://doi.org/10.1002/num.22235
Mixed Aggregated Finite Element Methods for the Unfitted Discretization of the Stokes Problem
Santiago Badia, Alberto F. Martin and Francesc VerdugoSIAM Journal on Scientific Computing 40 (6) B1541 (2018)
https://doi.org/10.1137/18M1185624
(2018)
https://doi.org/10.2514/6.2018-4053
A Nitsche cut finite element method for the Oseen problem with general Navier boundary conditions
M. Winter, B. Schott, A. Massing and W.A. WallComputer Methods in Applied Mechanics and Engineering 330 220 (2018)
https://doi.org/10.1016/j.cma.2017.10.023
The fictitious domain method with H1-penalty for the Stokes problem with Dirichlet boundary condition
Guanyu ZhouApplied Numerical Mathematics 123 1 (2018)
https://doi.org/10.1016/j.apnum.2017.08.005
Recent Developments in Variational Multiscale Methods for Large-Eddy Simulation of Turbulent Flow
Ursula Rasthofer and Volker GravemeierArchives of Computational Methods in Engineering 25 (3) 647 (2018)
https://doi.org/10.1007/s11831-017-9209-4
The shifted boundary method for embedded domain computations. Part I: Poisson and Stokes problems
A. Main and G. ScovazziJournal of Computational Physics 372 972 (2018)
https://doi.org/10.1016/j.jcp.2017.10.026
A stabilized Nitsche cut finite element method for the Oseen problem
A. Massing, B. Schott and W.A. WallComputer Methods in Applied Mechanics and Engineering 328 262 (2018)
https://doi.org/10.1016/j.cma.2017.09.003
CutFEM topology optimization of 3D laminar incompressible flow problems
Carlos H. Villanueva and Kurt MauteComputer Methods in Applied Mechanics and Engineering 320 444 (2017)
https://doi.org/10.1016/j.cma.2017.03.007
A new fictitious domain approach for Stokes equation
Min YangJournal of Physics: Conference Series 916 012014 (2017)
https://doi.org/10.1088/1742-6596/916/1/012014
Inf-sup stability of geometrically unfitted Stokes finite elements
Johnny Guzmán and Maxim OlshanskiiMathematics of Computation 87 (313) 2091 (2017)
https://doi.org/10.1090/mcom/3288
An adaptive Fixed-Mesh ALE method for free surface flows
Joan Baiges, Ramon Codina, Arnau Pont and Ernesto CastilloComputer Methods in Applied Mechanics and Engineering 313 159 (2017)
https://doi.org/10.1016/j.cma.2016.09.041
Extension of NXFEM to nonconforming finite elements
D. Capatina, H. El-Otmany, D. Graebling and R. LuceMathematics and Computers in Simulation 137 226 (2017)
https://doi.org/10.1016/j.matcom.2016.12.009
Geometrically Unfitted Finite Element Methods and Applications
Michel Fournié and Alexei LozinskiLecture Notes in Computational Science and Engineering, Geometrically Unfitted Finite Element Methods and Applications 121 143 (2017)
https://doi.org/10.1007/978-3-319-71431-8_5
A Finite Element Method for High-Contrast Interface Problems with Error Estimates Independent of Contrast
Johnny Guzmán, Manuel A. Sánchez and Marcus SarkisJournal of Scientific Computing 73 (1) 330 (2017)
https://doi.org/10.1007/s10915-017-0415-x
A stabilised immersed boundary method on hierarchical b-spline grids for fluid–rigid body interaction with solid–solid contact
C. Kadapa, W.G. Dettmer and D. PerićComputer Methods in Applied Mechanics and Engineering 318 242 (2017)
https://doi.org/10.1016/j.cma.2017.01.024
Geometrically Unfitted Finite Element Methods and Applications
André MassingLecture Notes in Computational Science and Engineering, Geometrically Unfitted Finite Element Methods and Applications 121 259 (2017)
https://doi.org/10.1007/978-3-319-71431-8_8
Nitsche-XFEM for the coupling of an incompressible fluid with immersed thin-walled structures
Frédéric Alauzet, Benoit Fabrèges, Miguel A. Fernández and Mikel LandajuelaComputer Methods in Applied Mechanics and Engineering 301 300 (2016)
https://doi.org/10.1016/j.cma.2015.12.015
A stabilized Nitsche‐type extended embedding mesh approach for 3D low‐ and high‐Reynolds‐number flows
B. Schott, S. Shahmiri, R. Kruse and W.A. WallInternational Journal for Numerical Methods in Fluids 82 (6) 289 (2016)
https://doi.org/10.1002/fld.4218
A face‐oriented stabilized Nitsche‐type extended variational multiscale method for incompressible two‐phase flow
B. Schott, U. Rasthofer, V. Gravemeier and W. A. WallInternational Journal for Numerical Methods in Engineering 104 (7) 721 (2015)
https://doi.org/10.1002/nme.4789
A Nitsche-based cut finite element method for a fluid-structure interaction problem
André Massing, Mats Larson, Anders Logg and Marie RognesCommunications in Applied Mathematics and Computational Science 10 (2) 97 (2015)
https://doi.org/10.2140/camcos.2015.10.97
A Stabilized Cut Finite Element Method for the Three Field Stokes Problem
Erik Burman, Susanne Claus and André MassingSIAM Journal on Scientific Computing 37 (4) A1705 (2015)
https://doi.org/10.1137/140983574
CutFEM: Discretizing geometry and partial differential equations
Erik Burman, Susanne Claus, Peter Hansbo, Mats G. Larson and André MassingInternational Journal for Numerical Methods in Engineering 104 (7) 472 (2015)
https://doi.org/10.1002/nme.4823
An unfitted Nitsche method for incompressible fluid–structure interaction using overlapping meshes
Erik Burman and Miguel A. FernándezComputer Methods in Applied Mechanics and Engineering 279 497 (2014)
https://doi.org/10.1016/j.cma.2014.07.007
A cut finite element method for a Stokes interface problem
Peter Hansbo, Mats G. Larson and Sara ZahediApplied Numerical Mathematics 85 90 (2014)
https://doi.org/10.1016/j.apnum.2014.06.009
A new face-oriented stabilized XFEM approach for 2D and 3D incompressible Navier–Stokes equations
B. Schott and W.A. WallComputer Methods in Applied Mechanics and Engineering 276 233 (2014)
https://doi.org/10.1016/j.cma.2014.02.014