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https://www.um.edu.mt/library/oar/handle/123456789/142588| Title: | Analytical solutions to the Laplace equation on a hemispherical domain |
| Other Titles: | Direct and inverse problems with applications, trends in mathematics vol. 12 |
| Authors: | Sebu, Cristiana Amaira, Andrei Pidcock, Michael |
| Keywords: | Harmonic functions Boundary value problems Neumann problem Electrical impedance tomography Series, Infinite |
| Issue Date: | 2025 |
| Publisher: | Birkhäuser, Cham |
| Citation: | Sebu, C., Amaira, A., & Pidcock, M. (2025). Analytical Solutions to the Laplace Equation on a Hemispherical Domain. In M. Chatzakou, M. Ruzhansky, & K. Van Bockstal (Eds.), Direct and Inverse Problems with Applications, Trends in Mathematics Vol. 12 Vol. 12. (pp. 113-121). Birkhäuser, Cham. |
| Abstract: | In this paper, we derive analytical solutions to the Laplace equation in a hemispherical domain subject to two different idealized Neumann boundary conditions. The solutions are given as infinite series, and their convergence is analysed. The theoretical results have been validated by comparing them with numerical results obtained using EIDORS. |
| URI: | https://www.um.edu.mt/library/oar/handle/123456789/142588 |
| Appears in Collections: | Scholarly Works - FacSciMat |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Analytical solutions to the Laplace equation on a hemispherical domain.pdf Restricted Access | 817.75 kB | Adobe PDF | View/Open Request a copy |
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