Local Discontinuous Galerkin method for the prescribed mean curvature equation

We construct a non-polynomial local discontinuous Galerkin (LDG) scheme for the prescribed mean curvature equation to approximate boundary gradient blow-up solutions and obtain error estimates.

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Publication Details

Journal
Springer Link (Chiba Institute of Technology)
Published
2026-08-03
DOI
https://doi.org/10.1051/m2an/2026041/pdf
Primary Topic
Advanced Numerical Methods in Computational Mathematics
Type
article
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article

Local Discontinuous Galerkin method for the prescribed mean curvature equation

Yuewen Chen, Shing-Tung Yau, Chi-Wang Shu
Springer Link (Chiba Institute of Technology)
Advanced Numerical Methods in Computational Mathematics
article

Local Discontinuous Galerkin method for the prescribed mean curvature equation

Yuewen Chen, Shing-Tung Yau, Chi-Wang Shu
article en

Abstract

We construct a non-polynomial local discontinuous Galerkin (LDG) scheme for the prescribed mean curvature equation to approximate boundary gradient blow-up solutions and obtain error estimates.

Springer Link (Chiba Institute of Technology)
Openalex Percentile: Top 50%
Advanced Numerical Methods in Computational Mathematics
DOISourceOpenAlex
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Local Discontinuous Galerkin method for the prescribed mean curvature equation — Yuewen Chen, Shing-Tung Yau, et al. · Springer Link (Chiba Institute of Technology) (2026) | TGRS Research Map | TGRS