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

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