arXiv Open Access 2022

Conformal capacity and polycircular domains

Harri Hakula Mohamed M. S. Nasser Matti Vuorinen

Lihat Sumber

Abstrak

We study numerical conformal mapping of multiply connected planar domains with boundaries consisting of unions of finitely many circular arcs, so called polycircular domains. We compute the conformal capacities of condensers defined by polycircular domains. Experimental error estimates are provided for the computed capacity and, when possible, the rate of convergence under refinement of discretisation is analysed. The main ingredients of the computation are two computational methods, on one hand the boundary integral equation method combined with the fast multipole method and on the other hand the $hp$-FEM method. The results obtained with these two methods agree with high accuracy.

Topik & Kata Kunci

math.NA math.CV

Penulis (3)

Harri Hakula

Mohamed M. S. Nasser

Matti Vuorinen

Format Sitasi

APA MLA BibTeX

Hakula, H., Nasser, M.M.S., Vuorinen, M. (2022). Conformal capacity and polycircular domains. https://arxiv.org/abs/2202.12922

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓