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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
Difference potentials method for models with dynamic boundary conditions and bulk-surface problems
A Stabilized Trace Finite Element Method for Partial Differential Equations on Evolving Surfaces
Christoph Lehrenfeld, Maxim A. Olshanskii and Xianmin Xu SIAM Journal on Numerical Analysis 56(3) 1643 (2018) https://doi.org/10.1137/17M1148633
Embedded shell finite elements: Solid–shell interaction, surface locking, and application to image-based bio-structures
Dominik Schillinger, Tarun Gangwar, Anvar Gilmanov, Jo D. Heuschele and Henryk K. Stolarski Computer Methods in Applied Mechanics and Engineering 335 298 (2018) https://doi.org/10.1016/j.cma.2018.02.029
A Coupled Ligand-Receptor Bulk-Surface System on a Moving Domain: Well Posedness, Regularity, and Convergence to Equilibrium
Amal Alphonse, Charles M. Elliott and Joana Terra SIAM Journal on Mathematical Analysis 50(2) 1544 (2018) https://doi.org/10.1137/16M110808X
Analysis of a High-Order Trace Finite Element Method for PDEs on Level Set Surfaces
Jörg Grande, Christoph Lehrenfeld and Arnold Reusken SIAM Journal on Numerical Analysis 56(1) 228 (2018) https://doi.org/10.1137/16M1102203
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 posteriori error control for stationary coupled bulk-surface equations
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
Geometrically Unfitted Finite Element Methods and Applications
André Massing Lecture 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
Geometrically Unfitted Finite Element Methods and Applications
Maxim A. Olshanskii and Arnold Reusken Lecture Notes in Computational Science and Engineering, Geometrically Unfitted Finite Element Methods and Applications 121 211 (2017) https://doi.org/10.1007/978-3-319-71431-8_7
A Trace Finite Element Method for PDEs on Evolving Surfaces
Sashikumaar Ganesan, Andreas Hahn, Kristin Simon and Lutz Tobiska Advances in Mathematical Fluid Mechanics, Transport Processes at Fluidic Interfaces 5 (2017) https://doi.org/10.1007/978-3-319-56602-3_1
The bulk-surface finite element method for reaction–diffusion systems on stationary volumes
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
Numerical integration over implicitly defined domains for higher order unfitted finite element methods