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math.NA2023
Operator Splitting/Finite Element Methods for the Minkowski Problem
Hao Liu, Shingyu Leung, Jianliang Qian
The classical Minkowski problem for convex bodies has deeply influenced the development of differential geometry. During the past several decades, abundant mathematical theories ha…
math.NA2023
A Simple Embedding Method for Scalar Hyperbolic Conservation Laws on Implicit Surfaces
Chun Kit Hung, Shingyu Leung
We have developed a new embedding method for solving scalar hyperbolic conservation laws on surfaces. The approach represents the interface implicitly by a signed distance function…