34 citations · 92 across the 23 of their papers we have counts for
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math.NA2021
A monotone discretization for integral fractional Laplacian on bounded Lipschitz domains: Pointwise error estimates under Hölder regularity
Rubing Han, Shuonan Wu
We propose a monotone discretization for the integral fractional Laplace equation on bounded Lipschitz domains with the homogeneous Dirichlet boundary condition. The method is insp…
math.NA2021★ 1 cited
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…
math.NA2021
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…