Trace Finite Element Methods for PDEs on Surfaces

• 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
• 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
• 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

8 results