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math.NA2026
Pressure-robust -a posteriori error estimates of -conforming discontinuous Galerkin methods for the Stokes equations
Zhaonan Dong, Zuodong Wang, Lina Zhao
We devise and analyze a pressure-robust residual-based -a posteriori error estimator for -conforming discontinuous Galerkin (dG) methods for the S…
math.NA2026
A high-order nodally bound-preserving and mass-conservative method for linear fourth-order elliptic problems and its applications to nonlinear parabolic equations
Jie Shen, Zuodong Wang
We propose a high-order finite element method for linear fourth-order elliptic problems that is both nodally bound-preserving and mass-conservative, based on a variational inequali…