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Simultaneous analysis of continuously embedded Reissner–Mindlin shells in 3D bulk domains
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Analysis of divergence-preserving unfitted finite element methods for the mixed Poisson problem
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Cut Finite Element Discretizations of Cell-by-Cell EMI Electrophysiology Models
Nanna Berre, Marie E. Rognes and André Massing SIAM Journal on Scientific Computing 46(4) B527 (2024) https://doi.org/10.1137/23M1580632
An adaptive stabilized trace finite element method for surface PDEs
Transient-pressure modelling in fractured porous media with a new embedded finite element approach
Behnam V. Damirchi, Pouria Behnoudfar, Luís A.G. Bitencourt, Osvaldo L. Manzoli and Daniel Dias-da-Costa Advances in Water Resources 190 104730 (2024) https://doi.org/10.1016/j.advwatres.2024.104730
A Numerical Method for Solving Elliptic Equations on Real Closed Algebraic Curves and Surfaces
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
Rigorous code verification for non-linear Kirchhoff–Love shells based on tangential differential calculus with application to Isogeometric Analysis
Stability and Conditioning of Immersed Finite Element Methods: Analysis and Remedies
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
An accurate and robust Eulerian finite element method for partial differential equations on evolving surfaces
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
Equal Higher Order Analysis of an Unfitted Discontinuous Galerkin Method for Stokes Flow Systems
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
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
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
A $$C^1$$-continuous Trace-Finite-Cell-Method for linear thin shell analysis on implicitly defined surfaces
A higher‐order Trace finite element method for shells
Daniel Schöllhammer and Thomas‐Peter Fries International Journal for Numerical Methods in Engineering (2020) https://doi.org/10.1002/nme.6558
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
Numerical modeling of phase separation on dynamic surfaces
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
Higher-Order Accurate Meshing of Nonsmooth Implicitly Defined Surfaces and Intersection Curves
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
Interface-Capturing Method for Free-Surface Plunging and Breaking Waves