We propose a quasi-Newton minimization approach for the solution of the p(x)-Laplacian elliptic problem.This method outperforms those existing for the p(x)-variable case, which are based on general purpose minimizers such as BFGS. Moreover, when compared to ad hoc techniques available in literature for the p-constant case, and usually referred to as "mesh independent", the present method turns out to be generally superior thanks to better descent directions given by the quadratic model.

Quasi-Newton minimization for the p(x)-Laplacian problem

CALIARI, Marco;ZUCCHER, Simone
2017-01-01

Abstract

We propose a quasi-Newton minimization approach for the solution of the p(x)-Laplacian elliptic problem.This method outperforms those existing for the p(x)-variable case, which are based on general purpose minimizers such as BFGS. Moreover, when compared to ad hoc techniques available in literature for the p-constant case, and usually referred to as "mesh independent", the present method turns out to be generally superior thanks to better descent directions given by the quadratic model.
2017
p(x)-Laplacian, degenerate quasi-linear elliptic problem, quasi-Newton minimization
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11562/962817
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