4 papers
Stabilizer-Free Weak Galerkin Methods for Monotone Quasilinear Elliptic PDEs
Xiu Ye, Shangyou Zhang, Yunrong Zhu
In this paper, we study the stabilizer-free weak Galerkin methods on polytopal meshes for a class of second order elliptic boundary value problems of divergence form and with gradi…
Auxiliary space preconditioners for virtual element methods on polytopal meshes
Yunrong Zhu
In this paper, we develop the auxiliary space preconditioners for solving the linear system arising from the virtual element methods discretization on polytopal meshes for the seco…
A matrix analysis approach to discrete comparison principles for nonmonotone PDE
Sara Pollock, Yunrong Zhu
We consider a linear algebra approach to establishing a discrete comparison principle for a nonmonotone class of quasilinear elliptic partial differential equations. In the absence…
Discrete comparison principles for quasilinear elliptic PDE
Sara Pollock, Yunrong Zhu
Comparison principles are developed for discrete quasilinear elliptic partial differential equations. We consider the analysis of a class of nonmonotone Leray-Lions problems featur…