3 papers
math.NA2026
Stabilized Morley FEM for surface Stokes in stream-function formulation: Optimal convergence via a new geometric estimate
Shuonan Wu, Hao Zhou
We propose an intrinsic stabilized Morley finite element method for the stream-function formulation of the surface Stokes problem on closed surfaces. The method is posed directly o…
math.NA2025
Local discontinuous Galerkin method for the integral fractional Laplacian
Rubing Han, Shuonan Wu, Hao Zhou
We develop and analyze a local discontinuous Galerkin (LDG) method for solving integral fractional Laplacian problems on bounded Lipschitz domains. The method is based on a three-f…
math.NA2024
A stabilized nonconforming finite element method for the surface biharmonic problem
Shuonan Wu, Hao Zhou
This paper presents a novel stabilized nonconforming finite element method for solving the surface biharmonic problem. The method extends the New-Zienkiewicz-type (NZT) element to…