Cut finite element methods for partial differential equations on embedded manifolds of arbitrary codimensions

• Analysis of a space-time unfitted finite element method for PDEs on evolving surfaces

  2026 Journal of Numerical Mathematics article Engineering Advanced Numerical Methods in Computational Mathematics Open access

  0

  citations
• An Eulerian finite element method for tangential Navier-Stokes equations on evolving surfaces

  2023 Mathematics of Computation article Engineering Advanced Numerical Methods in Computational Mathematics

  9

  citations
• Diffusion of tangential tensor fields: numerical issues and influence of geometric properties

  2023 Journal of Numerical Mathematics article Engineering Advanced Numerical Methods in Computational Mathematics Open access

  3

  citations
• An accurate and robust Eulerian finite element method for partial differential equations on evolving surfaces

  2023 Computers & Mathematics with Applications article Engineering Advanced Numerical Methods in Computational Mathematics

  10

  citations
• Analysis of optimal preconditioners for CutFEM

  2022 Numerical Linear Algebra with Applications article Engineering Advanced Numerical Methods in Computational Mathematics Open access

  13

  citations
• Tangential Navier–Stokes equations on evolving surfaces: Analysis and simulations

  2022 Mathematical Models and Methods in Applied Sciences article Mathematics Navier-Stokes equation solutions

  17

  citations
• Finite Element Discretization Methods for Velocity-Pressure and Stream Function Formulations of Surface Stokes Equations

  2022 SIAM Journal on Scientific Computing article Engineering Advanced Numerical Methods in Computational Mathematics Open access

  36

  citations
• Optimal preconditioners for a Nitsche stabilized fictitious domain finite element method

  2021 arXiv (Cornell University) preprint Engineering Advanced Numerical Methods in Computational Mathematics Open access

  0

  citations
• Error analysis of higher order Trace Finite Element Methods for the surface Stokes equation

  2020 Journal of Numerical Mathematics article Engineering Advanced Numerical Methods in Computational Mathematics

  23

  citations
• Finite element error analysis of surface Stokes equations in stream function formulation

  2020 ESAIM Mathematical Modelling and Numerical Analysis article Engineering Advanced Numerical Methods in Computational Mathematics Open access

  16

  citations
• Inf-sup stability of the trace 𝐏₂–𝐏₁ Taylor–Hood elements for surface PDEs

  2020 Mathematics of Computation article Engineering Advanced Numerical Methods in Computational Mathematics Open access

  24

  citations
• Error analysis of higher order trace finite element methods for the surface Stokes equations

  2020 arXiv (Cornell University) preprint Engineering Advanced Numerical Methods in Computational Mathematics Open access

  2

  citations

12 results