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.File in questo prodotto:
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