A conservative hybrid method for Darcy flow
Numerical Analysis
2019-04-29 v1
Abstract
We present a hybrid mimetic spectral element formulation for Darcy flow. The discrete representations for 1) conservation of mass, and 2) inter-element continuity, are topological relations that lead to sparse matrix systems. These constraints are independent of the element size and shape, and thus invariant under mesh transformations. The resultant algebraic system is extremely sparse even for high degree polynomial basis. Furthermore, the system can be efficiently assembled and solved for each element separately.
Keywords
Cite
@article{arxiv.1904.11909,
title = {A conservative hybrid method for Darcy flow},
author = {Varun Jain and Yi Zhang and Joël Fisser and Artur Palha and Marc Gerritsma},
journal= {arXiv preprint arXiv:1904.11909},
year = {2019}
}
Comments
submitted to ICOSAHOM 2018