Finite Section Method for the Double Layer Potential Operator over Polyhedral Boundaries

In this paper we consider the finite section method for the solution of the double layer potential equation corresponding to Laplace's equation in a three‐dimensional polyhedron. We prove the stability of our method in case of special polyhedrons.

Saved in:
Bibliographic Details
Published in:Mathematische Nachrichten 1992, Vol.157 (1), p.7-14
Main Author: Rathsfeld, A.
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper we consider the finite section method for the solution of the double layer potential equation corresponding to Laplace's equation in a three‐dimensional polyhedron. We prove the stability of our method in case of special polyhedrons.
ISSN:0025-584X
1522-2616
DOI:10.1002/mana.19921570102