Engineering & Technologyarticle2026-08-03

Local Discontinuous Galerkin method for the prescribed mean curvature equation

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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.

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View paper (DOI)OpenAlexSpringer Link (Chiba Institute of Technology)Published 2026-08-03

Authors: Yuewen Chen, Chi-Wang Shu, Shing-Tung Yau

Model Reduction and Neural Networks Advanced Numerical Methods in Computational Mathematics Nonlinear Partial Differential Equations