- Abstract:
-
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...
Expand abstract - Publication status:
- Published
- Peer review status:
- Peer reviewed
- Version:
- Accepted manuscript
- Files:
-
-
(pdf, 444.0KB)
-
- Publisher copy:
- 10.1016/j.cam.2016.05.013
-
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- 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:
-
1879-1778
- ISSN:
-
0377-0427
- Pubs id:
-
pubs:822848
- URN:
-
uri:ddd56768-3690-49e6-ac28-fd70dcbc4a2f
- UUID:
-
uuid:ddd56768-3690-49e6-ac28-fd70dcbc4a2f
- Local pid:
- pubs:822848
- 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
Journal article
A direct solver for elliptic PDEs in three dimensions based on hierarchical merging of Poincaré–Steklov operators
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