An Adaptive Nonlinear Least-Squares Finite Element Method for a Pucci Equation in Two Dimensions

被引：0
|
作者：
Brenner, Susanne C. [1 ,2 ]
Sung, Li-Yeng [1 ,2 ]
Tan, Zhiyu [3 ,4 ]
机构：
[1] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA
[2] Louisiana State Univ, Ctr Computat & Technol, Baton Rouge, LA 70803 USA
[3] Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China
[4] Xiamen Univ, Fujian Prov Key Lab Math Modeling & High Performan, Xiamen 361005, Fujian, Peoples R China
来源：
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS | 2024年 / 14卷 / 03期
基金：
美国国家科学基金会;
关键词：
Pucci equation; nonlinear least-squares; finite element; adaptive; OPTIMAL CONVERGENCE RATE; ACTIVE SET ALGORITHM; NUMERICAL-SOLUTION; SEGREGATION; REFINEMENT;
D O I：
10.4208/eajam.2023-277.150124
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present an adaptive nonlinear least-squares finite element method for a two dimensional Pucci equation. The efficiency of the method is demonstrated by a numerical experiment.
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页码：451 / 459
页数：9
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