Algebraic Hybridization and Static Condensation with Application to Scalable H(div) Preconditioning
Numerical Analysis
2018-01-29 v1
Abstract
We propose an unified algebraic approach for static condensation and hybridization, two popular techniques in finite element discretizations. The algebraic approach is supported by the construction of scalable solvers for problems involving H(div)-spaces discretized by conforming (Raviart-Thomas) elements of arbitrary order. We illustrate through numerical experiments the relative performance of the two (in some sense dual) techniques in comparison with a state-of-the-art parallel solver, ADS, available in the software hypre and MFEM. The superior performance of the hybridization technique is clearly demonstrated with increased benefit for higher order elements.
Cite
@article{arxiv.1801.08914,
title = {Algebraic Hybridization and Static Condensation with Application to Scalable H(div) Preconditioning},
author = {Veselin A. Dobrev and Tzanio V. Kolev and Chak S. Lee and Vladimir Z. Tomov and Panayot S. Vassilevski},
journal= {arXiv preprint arXiv:1801.08914},
year = {2018}
}
Comments
18 pages, 9 figures