A Residual-Free Bubble Formulation for nonlinear elliptic problems with oscillatory coefficients

Autor:	Barreda, Manuel, Madureira, Alexandre L.
Rok vydání:	2017
Předmět:	Mathematics - Numerical Analysis 65N12 65N30
Druh dokumentu:	Working Paper
Popis:	We present an investigation of the Residual Free Bubble finite element method for a class of multiscale nonlinear elliptic partial differential equations. After proposing a nonlinear version for the method, we address fundamental questions as existence and uniqueness of solutions. We also obtain a best approximation result, and investigate possible linearizations that generate different versions for the method. As far as we are aware, this is the first time that an analysis for the nonlinear Residual Free Bubble method is considered. Comment: submitted to International Journal of Computer Mathematics
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1705.07864 Zobrazit plný text záznamu View this record from Arxiv