Journal article
A direct solver for elliptic PDEs in three dimensions based on hierarchical merging of Poincaré–Steklov operators
- Abstract:
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A numerical method for variable coefficient elliptic PDEs on three dimensional domains is described. The method is designed for problems with smooth solutions, and is based on a multidomain spectral collocation discretization scheme. The resulting system of linear equations can very efficiently be solved using a nested dissection style direct (as opposed to iterative) solver. This makes the scheme particularly well suited to solving problems for which iterative solvers struggle; in particular...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Accepted manuscript, pdf, 444.0KB)
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- Publisher copy:
- 10.1016/j.cam.2016.05.013
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Funding
Bibliographic Details
- Publisher:
- Elsevier Publisher's website
- Journal:
- Journal of Computational and Applied Mathematics Journal website
- Volume:
- 308
- Pages:
- 419-434
- Publication date:
- 2016-05-31
- Acceptance date:
- 2016-01-01
- DOI:
- EISSN:
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1879-1778
- ISSN:
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0377-0427
- Source identifiers:
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822848
Item Description
- Keywords:
- Pubs id:
-
pubs:822848
- UUID:
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uuid:ddd56768-3690-49e6-ac28-fd70dcbc4a2f
- Local pid:
- pubs:822848
- Deposit date:
- 2018-02-05
Terms of use
- Copyright holder:
- Elsevier
- Copyright date:
- 2016
- Notes:
- © 2016 Elsevier B.V. All rights reserved. This is the accepted manuscript version of the article. The final version is available online from Elsevier at: 10.1016/j.cam.2016.05.013
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