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Combining deflation and nested iteration for computing multiple solutions of nonlinear variational problems

Abstract:

Many physical systems support multiple equilibrium states that enable their use in modern science and engineering applications. Having the ability to reliably compute such states facilitates more accurate physical analysis and understanding of experimental behavior. This paper adapts and extends a deflation technique for the computation of multiple distinct solutions in the context of nonlinear systems and applies the method to the modeling of equilibrium configurations of nematic and cholest...

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Publication status:
In press
Peer review status:
Peer reviewed
Version:
Accepted manuscript

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Files:
Publisher copy:
10.1137/16M1058728

Authors


Emerson, DB More by this author
More by this author
Department:
Christ Church
MacLachlan, SP More by this author
Publisher:
Society for Industrial and Applied Mathematics Publisher's website
Journal:
SIAM Journal on Scientific Computing Journal website
Volume:
39
Issue:
1
Pages:
B29–B52
Publication date:
2017-01-24
Acceptance date:
2016-10-14
DOI:
EISSN:
1095-7197
ISSN:
1064-8275
Pubs id:
pubs:661781
URN:
uri:99374943-897d-43cd-9e5c-22c9d9329380
UUID:
uuid:99374943-897d-43cd-9e5c-22c9d9329380
Local pid:
pubs:661781
Paper number:
1

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