| | |
| | |
Stat |
Members: 3643 Articles: 2'487'895 Articles rated: 2609
28 March 2024 |
|
| | | |
|
Article overview
| |
|
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 |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |