Efficient implementation of the hybridized Raviart-Thomas mixed method by converting flux subspaces into stabilizations
Numerical Analysis
2023-09-28 v1 Numerical Analysis
Abstract
We show how to reduce the computational time of the practical implementation of the Raviart-Thomas mixed method for second-order elliptic problems. The implementation takes advantage of a recent result which states that certain local subspaces of the vector unknown can be eliminated from the equations by transforming them into stabilization functions; see the paper published online in JJIAM on August 10, 2023. We describe in detail the new implementation (in MATLAB and a laptop with Intel(R) Core (TM) i7-8700 processor which has six cores and hyperthreading) and present numerical results showing 10 to 20% reduction in the computational time for the Raviart-Thomas method of index , with ranging from 1 to 20, applied to a model problem.
Keywords
Cite
@article{arxiv.2309.15346,
title = {Efficient implementation of the hybridized Raviart-Thomas mixed method by converting flux subspaces into stabilizations},
author = {Sreevatsa Anantharamu and Bernardo Cockburn},
journal= {arXiv preprint arXiv:2309.15346},
year = {2023}
}