4 papers
Robust Augmented Mixed Finite Element Methods for Stoke Interface Problems with Discontinuous Viscosity in Multiple Subdomains
Yuxiang Liang, Shun Zhang
A stationary Stokes problem with a piecewise constant viscosity coefficient in multiple subdomains is considered in the paper. For standard finite element pairs, a robust inf-sup c…
Least-Squares versus Partial Least-Squares Finite Element Methods: Robust A Priori and A Posteriori Error Estimates of Augmented Mixed Finite Element Methods
Yuxiang Liang, Shun Zhang
In this paper, for the generalized Darcy problem (an elliptic equation with discontinuous coefficients), we study a special partial Least-Squares (Galerkin-least-squares) method, k…
Least-Squares Methods with Nonconforming Finite Elements for General Second-Order Elliptic Equations
Yuxiang Liang, Shun Zhang
In this paper, we study least-squares finite element methods (LSFEM) for general second-order elliptic equations with nonconforming finite element approximations. The equation may…
A fast linearized finite difference method for the nonlinear multi-term time-fractional wave equation
Pin Lyu, Yuxiang Liang, Zhibo Wang
In this paper, we study a fast and linearized finite difference method to solve the nonlinear time-fractional wave equation with multi fractional orders. We first propose a discret…