Critical Angles of the Nyström Method for Double Layer Potential Equation

Critical Angles of the Nyström Method for Double Layer Potential Equation

Year:    2018

East Asian Journal on Applied Mathematics, Vol. 8 (2018), Iss. 1 : pp. 194–210

Abstract

The Nyström method for double layer potential equations on simple closed piecewise smooth contours is stable if and only if certain operators associated with the opening angles of the corners are invertible. Numerical experiments show that there are opening angles which cause the instability of the method.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.210517.071217a

East Asian Journal on Applied Mathematics, Vol. 8 (2018), Iss. 1 : pp. 194–210

Published online:    2018-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    17

Keywords:    Double layer potential equation Nyström method stability critical angles.