Effective numerical computation of p(x)–Laplace equations in 2D

被引：0
|
作者：
Aragón A. [1 ]
Fernández Bonder J. [2 ]
Rubio D. [1 ]
机构：
[1] Centro de Matemática Aplicada (CEDEMA), Universidad Nacional de San Martín, Villa Lynch, Provincia de Buenos Aires
[2] Departamento de Matemática, FCEN – Universidad de Buenos Aires, Instituto de Cálculo – CONICET, Buenos Aires
来源：
International Journal of Computer Mathematics | 2023年 / 100卷 / 11期
关键词：
decomposition-coordination method; finite elements; Laplacian;
D O I：
10.1080/00207160.2023.2263103
中图分类号：
学科分类号：
摘要：
In this article we implement a method for the computation of a nonlinear elliptic problem with nonstandard growth driven by the (Formula presented.) Laplacian operator. Our implementation is based in the decomposition–coordination method that allows us, via an iterative process, to solve in each step a linear differential equation and a nonlinear algebraic equation. Our code is implemented in MatLab in two dimensions and turns out to be extremely efficient from the computational point of view. © 2023 Informa UK Limited, trading as Taylor & Francis Group.
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收藏
页码：2111 / 2123
页数：12
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