3 papers
math.NA2024
Non-intrusive Least-Squares Functional A Posteriori Error Estimator: Linear and Nonlinear Problems with Plain Convergence
Ziyan Li, Shun Zhang
The a posteriori error estimator using the least-squares functional can be used for adaptive mesh refinement and error control even if the numerical approximations are not obtained…
math.NA2024
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…
math.NA2023
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…