2 papers
math.NA2026
Locally computable error estimators for conforming approximations of interface problems cannot be robust
Yuwen Li
We prove an impossibility result for extension-local a posteriori estimators for the conforming method for an elliptic interface problem at a checkerboard cross-point. We construct…
math.NA2026
Higher-order finite element de Rham complexes on sparse grids
Yihanqi Hu, Yuwen Li
We construct, for the first time, a family of higher-order finite element differential forms on tensor-product sparse grids. The construction starts from compatible one-dimensional…