A Residual-Free Bubble Formulation for nonlinear elliptic problems with oscillatory coefficients
Numerical Analysis
2017-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1705.07864,
title = {A Residual-Free Bubble Formulation for nonlinear elliptic problems with oscillatory coefficients},
author = {Manuel Barreda and Alexandre L. Madureira},
journal= {arXiv preprint arXiv:1705.07864},
year = {2017}
}
Comments
submitted to International Journal of Computer Mathematics