2 papers
math.NA2026
Trace Inverse Estimates and Kernel-based Nitsche Galerkin Methods for Elliptic Interface Problems
Leevan Ling, Shu Ma, Weifeng Qiu +1
We establish trace inverse estimates for products of independently generated Sobolev-kernel trial spaces on Lipschitz subdomains and use them to analyze symmetric Nitsche Galerkin…
math.NA2026
Local Regularity Estimation through Sobolev-Scale Norm Profile
Xiaobin Li, Leevan Ling, Yizhong Sun
We develop a kernel-based approach for estimating the spatially varying Sobolev regularity~ of an unknown -variate function~ from scattered sampling data, which quantifies…