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Simultaneous analysis of continuously embedded Reissner–Mindlin shells in 3D bulk domains
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Transient-pressure modelling in fractured porous media with a new embedded finite element approach
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Analysis of divergence-preserving unfitted finite element methods for the mixed Poisson problem
Christoph Lehrenfeld, Tim van Beeck and Igor Voulis Mathematics of Computation 94(354) 1667 (2024) https://doi.org/10.1090/mcom/4027
An adaptive stabilized trace finite element method for surface PDEs
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Frits de Prenter, Clemens V. Verhoosel, E. Harald van Brummelen, Mats G. Larson and Santiago Badia Archives of Computational Methods in Engineering 30(6) 3617 (2023) https://doi.org/10.1007/s11831-023-09913-0
Tangential errors of tensor surface finite elements
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
Hybridized isogeometric method for elliptic problems on CAD surfaces with gaps
Diffusion of tangential tensor fields: numerical issues and influence of geometric properties
E. Bachini, P. Brandner, T. Jankuhn, M. Nestler, S. Praetorius, A. Reusken and A. Voigt Journal of Numerical Mathematics (2023) https://doi.org/10.1515/jnma-2022-0088
Recycling augmented Lagrangian preconditioner in an incompressible fluid solver
Maxim A. Olshanskii and Alexander Zhiliakov Numerical Linear Algebra with Applications 29(2) (2022) https://doi.org/10.1002/nla.2415
Equal Higher Order Analysis of an Unfitted Discontinuous Galerkin Method for Stokes Flow Systems
Finite Element Discretization Methods for Velocity-Pressure and Stream Function Formulations of Surface Stokes Equations
Philip Brandner, Thomas Jankuhn, Simon Praetorius, Arnold Reusken and Axel Voigt SIAM Journal on Scientific Computing 44(4) A1807 (2022) https://doi.org/10.1137/21M1403126
A cut finite-element method for fracture and contact problems in large-deformation solid mechanics
Tangential Navier–Stokes equations on evolving surfaces: Analysis and simulations
Maxim A. Olshanskii, Arnold Reusken and Alexander Zhiliakov Mathematical Models and Methods in Applied Sciences 32(14) 2817 (2022) https://doi.org/10.1142/S0218202522500658
Error analysis of higher order Trace Finite Element Methods for the surface Stokes equation
Thomas Jankuhn, Maxim A. Olshanskii, Arnold Reusken and Alexander Zhiliakov Journal of Numerical Mathematics 29(3) 245 (2021) https://doi.org/10.1515/jnma-2020-0017
An Unfitted dG Scheme for Coupled Bulk-Surface PDEs on Complex Geometries
Numerical Geometry, Grid Generation and Scientific Computing
Jakob W. Stanford and Thomas-Peter Fries Lecture Notes in Computational Science and Engineering, Numerical Geometry, Grid Generation and Scientific Computing 131 193 (2019) https://doi.org/10.1007/978-3-030-23436-2_14
Monolithic cut finite element–based approaches for fluid‐structure interaction
Benedikt Schott, Christoph Ager and Wolfgang A. Wall International Journal for Numerical Methods in Engineering 119(8) 757 (2019) https://doi.org/10.1002/nme.6072
Interface-Capturing Method for Free-Surface Plunging and Breaking Waves
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