Fundamental data structures for matrix-free finite elements on hybrid tetrahedral grids

• Published in: International journal of parallel, emergent and distributed systems Vol. 39; no. 1; pp. 51 - 74
• Main Authors: Kohl, Nils, Bauer, Daniel, Böhm, Fabian, Rüde, Ulrich
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis 02.01.2024; Taylor & Francis Ltd
• Subjects: block-structured grids; Data structures; Discretization; Finite element method; hybrid tetrahedral grids; Mathematical analysis; Matrix-free finite elements; Multigrid methods; parallel data structures

This paper presents efficient data structures for the implementation of matrix-free finite element methods on block-structured, hybrid tetrahedral grids. It provides a complete categorization of all geometric sub-objects that emerge from the regular refinement of the unstructured, tetrahedral coarse...