5 papers
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…
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…
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…
A construction of canonical nonconforming finite element spaces for elliptic equations of any order in any dimension
Jia Li, Shuonan Wu
A unified construction of canonical -nonconforming finite elements is developed for -dimensional simplices for any . Consistency with the Morley-Wang-Xu elemen…
Auxiliary Space Preconditioners for Finite Element Approximation of Hamilton--Jacobi--Bellman Equations with Cordes Coefficients
Guangwei Gao, Shuonan Wu
In the past decade, there are many works on the finite element methods for the fully nonlinear Hamilton--Jacobi--Bellman (HJB) equations with Cordes condition. The linearised syste…