A Hermite-like basis for faster matrix-free evaluation of interior penalty discontinuous Galerkin operators

• Published in: arXiv.org
• Main Authors: Kronbichler, Martin, Kormann, Katharina, Fehn, Niklas, Munch, Peter, Witte, Julius
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 19.07.2019
• Subjects: Data points; Factorization; Galerkin method; Hermite polynomials; Mathematical analysis; Matrix algebra; Matrix methods; Operators (mathematics); Solvers; Tensors; Viability

This work proposes a basis for improved throughput of matrix-free evaluation of discontinuous Galerkin symmetric interior penalty discretizations on hexahedral elements. The basis relies on ideas of Hermite polynomials. It is used in a fully discontinuous setting not for higher order continuity but...