1 citations · 1 across the 1 of their papers we have counts for
7 papers
Finite Element Approximations of a Class of Nonlinear Stochastic Wave Equation with Multiplicative Noise
Yukun Li, Shuonan Wu, Yulong Xing
Wave propagation problems have many applications in physics and engineering, and the stochastic effects are important in accurately modeling them due to the uncertainty of the medi…
Robust BPX Preconditioner for Fractional Laplacians on Bounded Lipschitz Domains
Juan Pablo Borthagaray, Ricardo H. Nochetto, Shuonan Wu +1
We propose and analyze a robust BPX preconditioner for the integral fractional Laplacian on bounded Lipschitz domains. For either quasi-uniform grids or graded bisection grids, we…
On the unisolvence for the quasi-polynomial spaces of differential forms
Shuonan Wu, Ludmil T. Zikatanov
We consider quasi-polynomial spaces of differential forms defined as weighted (with a positive weight) spaces of differential forms with polynomial coefficients. We show that the u…
finite element approximations of linear elliptic equations in non-divergence form and Hamilton-Jacobi-Bellman equations with Cordes coefficients
Shuonan Wu
This paper is concerned with (non-Lagrange) finite element approximations of the linear elliptic equations in non-divergence form and the Hamilton-Jacobi-Bellman (HJB) equati…
An Extended Galerkin Analysis for Elliptic Problems
Qingguo Hong, Shuonan Wu, Jinchao Xu
A general analysis framework is presented in this paper for many different types of finite element methods (including various discontinuous Galerkin methods). For second order elli…
A mixed discontinuous Galerkin method with symmetric stress for Brinkman problem based on the velocity-pseudostress formulation
Yanxia Qian, Shuonan Wu, Fei Wang
The Brinkman equations can be regarded as a combination of the Stokes and Darcy equations which model transitions between the fast flow in channels (governed by Stokes equations) a…