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A transform method for Laplace's equation in multiply connected circular domains
| File | Description | Size | Format | |
|---|---|---|---|---|
 Paper.pdf | Accepted version | 260.04 kB | Adobe PDF | View/Open |
| IMA J Appl Math-2015-Crowdy-imamat_hxv019.pdf | Published version | 597.4 kB | Adobe PDF | View/Open |
| Title: | A transform method for Laplace's equation in multiply connected circular domains |
| Authors: | Crowdy, DG |
| Item Type: | Journal Article |
| Abstract: | A new general transform method for the solution of mixed boundary value problems for Laplace’s equation in multiply connected circular domains is formulated. Circular domains are those with boundaries that are a union of circular arcs and/or straight line segments. Constructive schemes based on the method are showcased by application to some concrete problems in fluid mechanics. In particular, a boundary value problem of topical interest in the study of superhydrophobic surfaces is solved and compared with an existing numerical solution. |
| Issue Date: | 1-Dec-2015 |
| Date of Acceptance: | 21-Jun-2015 |
| URI: | http://hdl.handle.net/10044/1/25885 |
| DOI: | 10.1093/imamat/hxv019 |
| ISSN: | 0272-4960 |
| Publisher: | Oxford University Press (OUP) |
| Start Page: | 1902 |
| End Page: | 1931 |
| Journal / Book Title: | IMA Journal of Applied Mathematics |
| Volume: | 80 |
| Issue: | 6 |
| Copyright Statement: | © The authors 2015. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited. |
| Sponsor/Funder: | Engineering & Physical Science Research Council (EPSRC) |
| Funder's Grant Number: | EP/K019430/1 |
| Keywords: | Science & Technology Physical Sciences Mathematics, Applied Mathematics transform method multiply connected Laplace's equation 0102 Applied Mathematics 0103 Numerical and Computational Mathematics 0199 Other Mathematical Sciences Applied Mathematics |
| Publication Status: | Published |
| Online Publication Date: | 2015-08-13 |
| Appears in Collections: | Applied Mathematics and Mathematical Physics Faculty of Natural Sciences Mathematics |
This item is licensed under a Creative Commons License
