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Volume 14, Issue 3
An Adaptive Nonlinear Least-Squares Finite Element Method for a Pucci Equation in Two Dimensions

Susanne C. Brenner, Li-Yeng Sung & Zhiyu Tan

East Asian J. Appl. Math., 14 (2024), pp. 451-459.

Published online: 2024-05

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  • Abstract

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.

  • AMS Subject Headings

65N30, 65N50, 35J60, 90C30

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COPYRIGHT: © Global Science Press

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@Article{EAJAM-14-451, author = {Brenner , Susanne C.Sung , Li-Yeng and Tan , Zhiyu}, title = {An Adaptive Nonlinear Least-Squares Finite Element Method for a Pucci Equation in Two Dimensions}, journal = {East Asian Journal on Applied Mathematics}, year = {2024}, volume = {14}, number = {3}, pages = {451--459}, abstract = {

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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.2023-277.150124}, url = {http://global-sci.org/intro/article_detail/eajam/23156.html} }
TY - JOUR T1 - An Adaptive Nonlinear Least-Squares Finite Element Method for a Pucci Equation in Two Dimensions AU - Brenner , Susanne C. AU - Sung , Li-Yeng AU - Tan , Zhiyu JO - East Asian Journal on Applied Mathematics VL - 3 SP - 451 EP - 459 PY - 2024 DA - 2024/05 SN - 14 DO - http://doi.org/10.4208/eajam.2023-277.150124 UR - https://global-sci.org/intro/article_detail/eajam/23156.html KW - Pucci equation, nonlinear least-squares, finite element, adaptive. AB -

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.

Brenner , Susanne C.Sung , Li-Yeng and Tan , Zhiyu. (2024). An Adaptive Nonlinear Least-Squares Finite Element Method for a Pucci Equation in Two Dimensions. East Asian Journal on Applied Mathematics. 14 (3). 451-459. doi:10.4208/eajam.2023-277.150124
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