2 papers
math.NA2025
A TraceFEM Interior Penalty Method for the Surface Biharmonic Equation
Michael Neilan, Hongzhi Wan
We construct and analyze a TraceFEM discretization for the surface biharmonic problem. The method utilizes standard quadratic Lagrange finite element spaces defined on a three-dime…
math.NA2024
A interior penalty method for the stream function formulation of the surface Stokes problem
Michael Neilan, Hongzhi Wan
We propose a interior penalty method for the fourth-order stream function formulation of the surface Stokes problem. The scheme utilizes continuous, piecewise polynomial spac…