On the discretization of Laplace's equation with Neumann boundary conditions on polygonal domains

In the present paper we describe a class of algorithms for the solution of Laplace's equation on polygonal domains with Neumann boundary conditions. It is well known that in such cases the solutions have singularities near the corners which poses a challenge for many existing methods. If the bo...

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Bibliographic Details
Main Authors: Jeremy Hoskins, Manas Rachh
Format: Article
Language:English
Published: Elsevier 2020-09-01
Series:Journal of Computational Physics: X
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S259005522030024X