Document Type
Article
Publication Date
1-1-2023
Abstract
A nonlinear least-squares finite element method for strong solutions of the Dirichlet boundary value problem of a two-dimensional Pucci equation on convex polygonal domains is investigated in this paper. We obtain a priori and a posteriori error estimates and present corroborating numerical results, where the discrete nonsmooth and nonlinear optimization problems are solved by an active set method and an alternating direction method with multipliers.
Publication Source (Journal or Book title)
Comptes Rendus Mecanique
First Page
1
Last Page
16
Recommended Citation
Brenner, S., Sung, L., & Tan, Z. (2023). A finite element method for a two-dimensional Pucci equation. Comptes Rendus Mecanique, 351, 1-16. https://doi.org/10.5802/crmeca.224