Effective numerical computation of p(x)-Laplace equations in 2D
Abstract
In this article we implement a method for the computation of a nonlinear elliptic problem with nonstandard growth driven by the p(x)-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 2 dimensions and turns out to be extremely efficient from the computational point of view.
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