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Complexity bounds on supermesh construction for quasi-uniform meshes

Abstract:
Projecting fields between different meshes commonly arises in computational physics. This operation may require a supermesh construction and in this case its computational cost is proportional to the number of cells of the supermesh n. Given any two quasi-uniform meshes of and cells respectively, we show under standard assumptions that n is proportional to . This result substantially improves on the best currently available upper bound on n and is fundamental for the analysis of algorithms that use supermeshes.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.jcp.2020.109459

Authors


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Department:
Mathematical Institute
Role:
Author
ORCID:
0000-0003-1669-9445


Publisher:
Elsevier
Journal:
Journal of Computational Physics More from this journal
Volume:
414
Article number:
109459
Publication date:
2020-04-09
Acceptance date:
2020-04-05
DOI:
ISSN:
0021-9991


Language:
English
Keywords:
Pubs id:
1074950
Local pid:
pubs:1074950
Deposit date:
2020-04-06

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