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Linearizing the hybridizable discontinuous Galerkin method: A linearly scaling operator | Immo Huismann
; Jörg Stiller
; Jochen Fröhlich
; | Date: |
23 Jul 2020 | Abstract: | This paper proposes a matrix-free residual evaluation technique for the
hybridizable discontinuous Galerkin method requiring a number of operations
scaling only linearly with the number of degrees of freedom. The method results
from application of tensor-product bases on cuboidal Cartesian elements, a
specific choice for the penalty parameter, and the fast diagonalization
technique. In combination with a linearly scaling, face-wise preconditioner, a
linearly scaling iteration time for a conjugate gradient method is attained.
This allows for solutions in 1 $mu s$ per unknown on one CPU core - a number
typically associated with low-order methods. | Source: | arXiv, 2007.11891 | Services: | Forum | Review | PDF | Favorites |
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