| Issue |
ESAIM: M2AN
Volume 60, Number 4, July-August 2026
|
|
|---|---|---|
| Page(s) | 1667 - 1714 | |
| DOI | https://doi.org/10.1051/m2an/2026041 | |
| Published online | 03 August 2026 | |
Local Discontinuous Galerkin method for the prescribed mean curvature equation
1 Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, P.R. China.
2 Division of Applied Mathematics, Brown University, Providence, RI 02912, USA.
3 Yanqi Lake Beijing Institute of Mathematical Sciences and Applications, Beijing, 101408, P.R. China.
* Corresponding author: This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
28
July
2025
Revised:
23
April
2026
Accepted:
28
April
2026
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.
Mathematics Subject Classification: 65N30 / 65N15 / 35J93 / 35K93
Key words: LDG scheme / prescribed mean curvature equation / Jang’s equation
© The authors. Published by EDP Sciences, SMAI 2026
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.