2 papers
math.AP2026
A duality approach to gradient Hölder estimates for linear divergence form elliptic equations
Olli Saari, Yuanlin Sun, Hua-Yang Wang +1
We prove a sparse bound in the context of Schauder theory for divergence form elliptic partial differential equations. In addition, we show how an iteration argument inspired by sp…
math.NA2025
An interior penalty DG method with correct and minimal averages, jumps and penalties for the miscible displacement problem of nonnegative characteristic form, and SUPG-type error estimates under low regularity, dominating Darcy velocity
Zhijie Du, Huoyuan Duan, Roger C E Tan +1
An interior penalty DG method is proposed for the steady-state linear partial differential equations of nonnegative characteristic form, suitable for mixed second-order elliptic-pa…