155 citations · 987 across the 104 of their papers we have counts for
5 papers · 1 filter
A Cascadic Multigrid Algorithm for Computing the Fiedler Vector of Graph Laplacians
John C. Urschel, Xiaozhe Hu, Jinchao Xu +1
In this paper, we develop a cascadic multigrid algorithm for fast computation of the Fiedler vector of a graph Laplacian, namely, the eigenvector corresponding to the second smalle…
Multilevel Preconditioners for Reaction-Diffusion Problems with Discontinuous Coefficients
Tzanio V. Kolev, Jinchao Xu, Yunrong Zhu
In this paper, we extend some of the multilevel convergence results obtained by Xu and Zhu in [Xu and Zhu, M3AS 2008], to the case of second order linear reaction-diffusion equatio…
A Nearly Optimal Multigrid Method for General Unstructured Grids
Lars Grasedyck, Lu Wang, Jinchao Xu
In this paper, we develop a multigrid method on unstructured shape-regular grids. For a general shape-regular unstructured grid of elements, we present a construction…
Stable Finite Element Methods Preserving Exactly for MHD Models
Kaibo Hu, Yicong Ma, Jinchao Xu
This paper is devoted to the design and analysis of some structure-preserving finite element schemes for the magnetohydrodynamics (MHD) system. The main feature of the method is th…
Well-posedness and Robust Preconditioners for the Discretized Fluid-Structure Interaction Systems
Jinchao Xu, Kai Yang
In this paper we develop a family of preconditioners for the linear algebraic systems arising from the arbitrary Lagrangian-Eulerian discretization of some fluid-structure interact…