14 citations · 17 across the 5 of their papers we have counts for
4 papers · 1 filter
Robust Discontinuity Indicators for High-Order Reconstruction of Piecewise Smooth Functions
Yipeng Li, Qiao Chen, Xiangmin Jiao
In many applications, piecewise continuous functions are commonly interpolated over meshes. However, accurate high-order manipulations of such functions can be challenging due to p…
ARPIST: Provably Accurate and Stable Numerical Integration over Spherical Triangles
Yipeng Li, Xiangmin Jiao
Numerical integration on spheres, including the computation of the areas of spherical triangles, is a core computation in geomathematics. The commonly used techniques sometimes suf…
WLS-ENO Remap: Superconvergent and Non-Oscillatory Weighted Least Squares Data Transfer on Surfaces
Yipeng Li, Qiao Chen, Xuebin Wang +1
Data remap between non-matching meshes is a critical step in multiphysics coupling using a partitioned approach. The data fields being transferred often have jumps in function valu…
Compact Feature-Aware Hermite-Style High-Order Surface Reconstruction
Yipeng Li, Xinglin Zhao, Navamita Ray +1
High-order surface reconstruction is an important technique for CAD-free, mesh-based geometric and physical modeling, and for high-order numerical methods for solving partial diffe…