Incompressible fluid problems on embedded surfaces: Modeling and variational formulations

• A Narrow Band Finite Element Method for the Level Set Equation

  2025 SIAM Journal on Scientific Computing article Engineering Advanced Numerical Methods in Computational Mathematics

  0

  citations
• Analysis of the Taylor-Hood surface finite element method for the surface Stokes equation

  2024 Mathematics of Computation article Engineering Advanced Numerical Methods in Computational Mathematics

  7

  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
• 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
• On derivations of evolving surface Navier–Stokes equations

  2022 Interfaces and Free Boundaries Mathematical Analysis Computation and Applications article Mathematics Navier-Stokes equation solutions Open access

  16

  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
• Analysis of finite element methods for surface vector-Laplace eigenproblems

  2022 Mathematics of Computation article Engineering Advanced Numerical Methods in Computational Mathematics Open access

  4

  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
• Arbitrary Lagrangian–Eulerian finite element method for curved and deforming surfaces

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

  50

  citations

12 results