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math.NA2026
A High-Order Surface Finite Element Method Based on Intersections with Background Tetrahedral Meshes
Zibo Zhao, Zuoqiang Shi
This paper develops a high-order surface finite element method for elliptic equations posed on a smooth closed surface implicitly defined as the zero level set of a function in thr…
math.NA2025
High-Order Quadrature for Implicitly Defined Surfaces and Regions
Zibo Zhao, Zuoqiang Shi
We propose a high-order quadrature method for integrating over curves, surfaces, and enclosed regions defined implicitly as zero level sets of smooth functions. The method combines…