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Octree-Based Shifted Boundary Method: Evaluating the impact of hanging-node removal on convergence and solver performance for linear PDEs
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Space-time CutFEM on overlapping meshes I: simple continuous mesh motion
A Divergence Preserving Cut Finite Element Method for Darcy Flow
Thomas Frachon, Peter Hansbo, Erik Nilsson and Sara Zahedi SIAM Journal on Scientific Computing 46(3) A1793 (2024) https://doi.org/10.1137/22M149702X
Nonconforming finite element formulation for the simulation of impedance cardiography
Manfred Kaltebacher, Vahid Badeli and Alice Reinbacher‐Köstinger International Journal of Numerical Modelling: Electronic Networks, Devices and Fields 36(3) (2023) https://doi.org/10.1002/jnm.3063
Stabilized cut discontinuous Galerkin methods for advection–reaction problems on surfaces
Tale Bakken Ulfsby, André Massing and Simon Sticko Computer Methods in Applied Mechanics and Engineering 413 116109 (2023) https://doi.org/10.1016/j.cma.2023.116109
Conservative cut finite element methods using macroelements
Overlapping Multipatch Isogeometric Method with Minimal Stabilization
Pablo Antolin, Annalisa Buffa, Riccardo Puppi and Xiaodong Wei SIAM Journal on Scientific Computing 43(1) A330 (2021) https://doi.org/10.1137/19M1306750
A multimesh finite element method for the Navier–Stokes equations based on projection methods
Jørgen S. Dokken, August Johansson, André Massing and Simon W. Funke Computer Methods in Applied Mechanics and Engineering 368 113129 (2020) https://doi.org/10.1016/j.cma.2020.113129
Multimesh finite elements with flexible mesh sizes
A partition of unity approach to fluid mechanics and fluid–structure interaction
Maximilian Balmus, André Massing, Johan Hoffman, Reza Razavi and David A. Nordsletten Computer Methods in Applied Mechanics and Engineering 362 112842 (2020) https://doi.org/10.1016/j.cma.2020.112842
A stabilized cut streamline diffusion finite element method for convection–diffusion problems on surfaces
Erik Burman, Peter Hansbo, Mats G. Larson, André Massing and Sara Zahedi Computer Methods in Applied Mechanics and Engineering 358 112645 (2020) https://doi.org/10.1016/j.cma.2019.112645
Stabilized Cut Discontinuous Galerkin Methods for Advection-Reaction Problems
August Johansson, Mats G. Larson and Anders Logg Lecture Notes in Computational Science and Engineering, Numerical Methods for Flows 132 189 (2020) https://doi.org/10.1007/978-3-030-30705-9_17
Erik Burman, Daniel Elfverson, Peter Hansbo, Mats G. Larson and Karl Larsson SIAM Journal on Scientific Computing 41(5) A3354 (2019) https://doi.org/10.1137/18M1223836
Stabilized CutFEM for the convection problem on surfaces
Multimesh finite element methods: Solving PDEs on multiple intersecting meshes
August Johansson, Benjamin Kehlet, Mats G. Larson and Anders Logg Computer Methods in Applied Mechanics and Engineering 343 672 (2019) https://doi.org/10.1016/j.cma.2018.09.009
Residual-based a posteriori error estimation for contact problems approximated by Nitsche’s method
Franz Chouly, Mathieu Fabre, Patrick Hild, Jérôme Pousin and Yves Renard IMA Journal of Numerical Analysis 38(2) 921 (2018) https://doi.org/10.1093/imanum/drx024
Cut finite element methods for partial differential equations on embedded manifolds of arbitrary codimensions
Erik Burman, Peter Hansbo, Mats G. Larson and André Massing ESAIM: Mathematical Modelling and Numerical Analysis 52(6) 2247 (2018) https://doi.org/10.1051/m2an/2018038
A Nitsche cut finite element method for the Oseen problem with general Navier boundary conditions
Mathematical and Numerical Modeling of the Cardiovascular System and Applications
Christian Vergara and Stefano Zonca SEMA SIMAI Springer Series, Mathematical and Numerical Modeling of the Cardiovascular System and Applications 16 209 (2018) https://doi.org/10.1007/978-3-319-96649-6_9
Embedded solids of any dimension in the X-FEM. Part I — Building a dedicated P1 function space
Geometrically Unfitted Finite Element Methods and Applications
Thomas Boiveau, Erik Burman and Susanne Claus Lecture Notes in Computational Science and Engineering, Geometrically Unfitted Finite Element Methods and Applications 121 183 (2017) https://doi.org/10.1007/978-3-319-71431-8_6
A Nitsche method for elliptic problems on composite surfaces
Peter Hansbo, Tobias Jonsson, Mats G. Larson and Karl Larsson Computer Methods in Applied Mechanics and Engineering 326 505 (2017) https://doi.org/10.1016/j.cma.2017.08.033
A new formulation for air-blast fluid–structure interaction using an immersed approach. Part I: basic methodology and FEM-based simulations
Geometrically Unfitted Finite Element Methods and Applications
Peter Hansbo, Mats G. Larson and Karl Larsson Lecture Notes in Computational Science and Engineering, Geometrically Unfitted Finite Element Methods and Applications 121 25 (2017) https://doi.org/10.1007/978-3-319-71431-8_2
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. Wall International Journal for Numerical Methods in Fluids 82(6) 289 (2016) https://doi.org/10.1002/fld.4218
Full gradient stabilized cut finite element methods for surface partial differential equations
Erik Burman, Peter Hansbo, Mats G. Larson, André Massing and Sara Zahedi Computer Methods in Applied Mechanics and Engineering 310 278 (2016) https://doi.org/10.1016/j.cma.2016.06.033
Non-intrusive Coupling: Recent Advances and Scalable Nonlinear Domain Decomposition
Mickaël Duval, Jean-Charles Passieux, Michel Salaün and Stéphane Guinard Archives of Computational Methods in Engineering 23(1) 17 (2016) https://doi.org/10.1007/s11831-014-9132-x
A three-dimensional coupled Nitsche and level set method for electrohydrodynamic potential flows in moving domains
An embedded mesh method using piecewise constant multipliers with stabilization: mathematical and numerical aspects
M. A. Puso, E. Kokko, R. Settgast, J. Sanders, B. Simpkins and B. Liu International Journal for Numerical Methods in Engineering 104(7) 697 (2015) https://doi.org/10.1002/nme.4796
Stabilized Finite Element Approximation of the Mean Curvature Vector on Closed Surfaces
A Nitsche-based cut finite element method for a fluid-structure interaction problem
André Massing, Mats Larson, Anders Logg and Marie Rognes Communications in Applied Mathematics and Computational Science 10(2) 97 (2015) https://doi.org/10.2140/camcos.2015.10.97
Parameter-free, weak imposition of Dirichlet boundary conditions and coupling of trimmed and non-conforming patches
S. Kollmannsberger, A. Özcan, J. Baiges, et al. International Journal for Numerical Methods in Engineering 101(9) 670 (2015) https://doi.org/10.1002/nme.4817
The Nitsche XFEM-DG Space-Time Method and its Implementation in Three Space Dimensions
CutFEM: Discretizing geometry and partial differential equations
Erik Burman, Susanne Claus, Peter Hansbo, Mats G. Larson and André Massing International Journal for Numerical Methods in Engineering 104(7) 472 (2015) https://doi.org/10.1002/nme.4823
A stabilized Nitsche overlapping mesh method for the Stokes problem
Nitsche’s method for two and three dimensional NURBS patch coupling
Vinh Phu Nguyen, Pierre Kerfriden, Marco Brino, Stéphane P. A. Bordas and Elvio Bonisoli Computational Mechanics 53(6) 1163 (2014) https://doi.org/10.1007/s00466-013-0955-3
HIGHER ORDER DISCONTINUOUS GALERKIN FINITE ELEMENT METHODS FOR NONLINEAR PARABOLIC PROBLEMS
Mi Ray Ohm, Hyun Young Lee and Jun Yong Shin Journal of the Korea Society for Industrial and Applied Mathematics 18(4) 337 (2014) https://doi.org/10.12941/jksiam.2014.18.337
The Nitsche method applied to a class of mixed-dimensional coupling problems
Explicit Coupling Schemes for a Fluid-Fluid Interaction Problem Arising in Hemodynamics
Miguel A. Fernández, Jean-Frédéric Gerbeau and Saverio Smaldone SIAM Journal on Scientific Computing 36(6) A2557 (2014) https://doi.org/10.1137/130948653
An unfitted Nitsche method for incompressible fluid–structure interaction using overlapping meshes
A hierarchical NXFEM for fictitious domain simulations
Roland Becker, Erik Burman and Peter Hansbo International Journal for Numerical Methods in Engineering 86(4-5) 549 (2011) https://doi.org/10.1002/nme.3093
Spectral and High Order Methods for Partial Differential Equations
Alexey Chernov and Peter Hansbo Lecture Notes in Computational Science and Engineering, Spectral and High Order Methods for Partial Differential Equations 76 153 (2011) https://doi.org/10.1007/978-3-642-15337-2_12
A stabilized Lagrange multiplier method for the finite element approximation of contact problems in elastostatics