Effective numerical computation of $p(x)-$Laplace equations in 2D
Numerical Analysis
2023-01-20 v2 Numerical Analysis
Analysis of PDEs
Abstract
In this article we implement a method for the computation of a nonlinear elliptic problem with nonstandard growth driven by the Laplacian operator. Our implementation is based in the {\em 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 {\sc MatLab} in 2 dimensions and turns out to be extremely efficient from the computational point of view.
Cite
@article{arxiv.2204.08054,
title = {Effective numerical computation of $p(x)-$Laplace equations in 2D},
author = {Adriana Aragon and Julian Fernandez Bonder and Diana Rubio},
journal= {arXiv preprint arXiv:2204.08054},
year = {2023}
}
Comments
9 pages, 5 figures