31 citations · 73 across the 4 of their papers we have counts for
5 papers
High order conservative schemes for the generalized Benjamin-Ono equation in the unbounded domain
Kai Yang
This paper proposes a new class of mass or energy conservative numerical schemes for the generalized Benjamin-Ono (BO) equation on the whole real line with arbitrarily high-order a…
Robust block preconditioners for poroelasticity
Shuangshuang Chen, Qingguo Hong, Jinchao Xu +1
In this paper we study the linear systems arising from discretized poroelasticity problems. We formulate one block preconditioner for the two-filed Biot model and several precondit…
Sparse Hierarchical Solvers with Guaranteed Convergence
Kai Yang, Hadi Pouransari, Eric Darve
Solving sparse linear systems from discretized PDEs is challenging. Direct solvers have in many cases quadratic complexity (depending on geometry), while iterative solvers require…
Modeling and Simulation for Fluid-Rotating Structure Interaction
Kai Yang, Pengtao Sun, Lu Wang +2
In this paper, we study a dynamic fluid-structure interaction (FSI) model for an elastic structure that is immersed and spinning in the fluid. We develop a linear constitutive mode…
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…