A scalable parallel solver for (div) problems discretized by arbitrary order finite elements on general unstructured meshes is proposed. The solver is based on hybridization and algebraic multigrid (AMG). The hybridization part of the solver requires the fine-grid element matrix information. Weak and strong scaling are examined through several numerical tests which demonstrate that the proposed solver provides a competitive alternative to ADS (Kolev and Vassilevski, SIAM J Sci Comput 34(6):A3079-A3098, 2012), a state-of-the-art solver for problems (div) problems. In fact, it outperforms ADS for higher order elements.
CITATION STYLE
Lee, C. S., & Vassilevski, P. S. (2017). Parallel solver for H(div) problems using hybridization and AMG. In Lecture Notes in Computational Science and Engineering (Vol. 116, pp. 69–80). Springer Verlag. https://doi.org/10.1007/978-3-319-52389-7_6
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