@inproceedings{Bochev2007COMPATIBLEGA,
title={COMPATIBLE GAUGE APPROACHES FOR H(div) EQUATIONS},
author={Pavel B. Bochev and Christopher M. Siefert and Raymond S. Tuminaro and J. XU and Yunrong Zhu},
year={2007}
}

We are concerned with the compatible gauge reformulation for H(div) equations and the design of fast solvers of the resulting linear algebraic systems as in [5]. We propose an algebraic reformulation of the discrete H(div) equations along with an algebraic multigrid (AMG) technique for the reformulated problem. The reformulation uses discrete Hodge decompositions on co-chains to replace the discrete H(div) equations by an equivalent 2×2 block linear system whose diagonal blocks are discrete… CONTINUE READING