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Finite Section Method for the Double Layer Potential Operator over Polyhedral Boundaries
Author(s) -
Rathsfeld A.
Publication year - 1992
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19921570102
Subject(s) - polyhedron , mathematics , section (typography) , laplace's equation , mathematical analysis , operator (biology) , layer (electronics) , laplace transform , stability (learning theory) , geometry , partial differential equation , computer science , repressor , machine learning , transcription factor , operating system , organic chemistry , biochemistry , chemistry , gene
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.