Efficient and scalable data structures and algorithms for goal-oriented adaptivity of space–time FEM codes

The cost- and memory-efficient finite element simulation of multi-physics problems remains a challenging task. Goal-oriented space and time adaptive methods derived from the dual weighted residual method appear to be a shiny key technology. They offer to generate optimal sequences of space–time mesh...

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Bibliographic Details
Published in:	SoftwareX Vol. 10; p. 100239
Main Authors:	Köcher, Uwe, Bruchhäuser, Marius Paul, Bause, Markus
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01.07.2019 Elsevier
Subjects:	Data structures Dual weighted residual method Goal-oriented adaptivity Space–time finite elements Dual weighted residual method Data structures Goal-oriented adaptivity Space–time finite elements
ISSN:	2352-7110, 2352-7110
Online Access:	Get full text
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Summary:	The cost- and memory-efficient finite element simulation of multi-physics problems remains a challenging task. Goal-oriented space and time adaptive methods derived from the dual weighted residual method appear to be a shiny key technology. They offer to generate optimal sequences of space–time meshes to minimise costs. This work contributes to the efficient embedding of space–time adaptive methods in an application free way for numerical screening tools. A new approach of flexible data structures and algorithms on them is introduced with the provided software dwr-diffusion of the DTM++.Project.
ISSN:	2352-7110 2352-7110
DOI:	10.1016/j.softx.2019.100239