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Simultaneous analysis of continuously embedded Reissner–Mindlin shells in 3D bulk domains
Michael Wolfgang Kaiser and Thomas‐Peter Fries International Journal for Numerical Methods in Engineering 125(16) (2024) https://doi.org/10.1002/nme.7495
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
Hybridized isogeometric method for elliptic problems on CAD surfaces with gaps
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
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
An accurate and robust Eulerian finite element method for partial differential equations on evolving surfaces
An Eulerian finite element method for tangential Navier-Stokes equations on evolving surfaces
Maxim Olshanskii, Arnold Reusken and Paul Schwering Mathematics of Computation 93(349) 2031 (2023) https://doi.org/10.1090/mcom/3931
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
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
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
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
Finite element error analysis of surface Stokes equations in stream function formulation
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
A Penalty Finite Element Method for a Fluid System Posed on Embedded Surface
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