Speaker：Weifeng Qiu (City University of Hong Kong)

Time：2026-5-6 10:30

Location：Tencent Meeting ID: 395-841-107

Abstract:

We propose one finite element method for both second order linear uniformly elliptic PDE in non-divergence form and the uniformly elliptic Hamilton-Jacobi-Bellman (HJB) equation. For both linear elliptic PDE in non-divergence form and the HJB equation,  we prove the well-posedness of strong solution in W^{2,p} and optimal convergence in discrete W^{2,p}-norm of the finite element approximation to the strong solution for 1<p <="2" on convex polyhedra in $r}^d (d="2,3)." if the domain is a two dimensional non-convex polygon, p valid more restricted region. furthermore, we relax assumptions continuity of coefficients hjb equation, which have been widely used literature.