@inproceedings{599cf4aff1694999b3cf596bfd319eee,
title = "The information-flux method: A true Petrov-Galerkin formulation based on maximum-entropy methods applied to convection-dominated problems",
abstract = "The information-flux method is proposed as a novel approach to stable methods. It is a meshfree Petrov-Galerkin formulation based on maximum-entropy basis functions. Stability is ensured by selected weighting functions resembling the information flux of the underlying physical problem. The novelties presented in this article concern the multi-dimensional formulation of the method, translating the good performance previously shown for one-dimensional problems. The use of non-negative weighting functions is key to the accomplishments demonstrated in this study. We present an approach based on two-dimensional freespace solution, which, in contrast to usual streamline approaches, takes two-dimensional effects of the convection into account. Numerical results are shown for one- and two-dimensional convection-dominated convection-diffusion problems.",
keywords = "Convection-diffusion problem, Information flux, Maximum entropy, Meshfree method, Petrov-Galerkin method, Stabilised FEM",
author = "Keijo Nissen and Volker Gravemeier and Wall, {Wolfgang A.}",
year = "2012",
language = "English",
isbn = "9783950353709",
series = "ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers",
pages = "6425--6438",
booktitle = "ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers",
note = "6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012 ; Conference date: 10-09-2012 Through 14-09-2012",
}