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Optimal-transport-based mesh adaptivity on the plane and sphere using finite elements

Abstract:

In moving mesh methods, the underlying mesh is dynamically adapted without changing the connectivity of the mesh. We specifically consider the generation of meshes which are adapted to a scalar monitor function through equidistribution. Together with an optimal transport condition, this leads to a Monge–Ampere equation ` for a scalar mesh potential. We adapt an existing finite element scheme for the standard Monge–Ampere ` equation to this mesh generation problem; this is a mixed finite eleme...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1137/16M1109515

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Atmos Ocean & Planet Physics
Role:
Author
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Name:
Natural Environment Research Council
Grant:
NE/M013480/1, NE/M013634/1
Publisher:
Society for Industrial and Applied Mathematics
Journal:
SIAM Journal on Scientific Computing More from this journal
Volume:
40
Issue:
2
Pages:
A1121–A1148
Publication date:
2018-04-24
Acceptance date:
2018-01-16
DOI:
EISSN:
1095-7197
ISSN:
1064-8275
Keywords:
Pubs id:
pubs:821168
UUID:
uuid:8cd83e94-7701-4031-bb5c-d31ae0c604c9
Local pid:
pubs:821168
Source identifiers:
821168
Deposit date:
2018-01-24

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