Local convergence of the boundary element method on polyhedral domains

Faustmann, Markus; Melenk, Jens Markus

doi:10.1007/s00211-018-0975-1

Record link:

https://resolver.obvsg.at/urn:nbn:at:at-ubtuw:3-5267
http://hdl.handle.net/20.500.12708/574

Title:

Local convergence of the boundary element method on polyhedral domains

Citation:

Faustmann, M., & Melenk, J. M. (2018). Local convergence of the boundary element method on polyhedral domains. Numerische Mathematik, 140, 593–637. https://doi.org/10.1007/s00211-018-0975-1

Publisher DOI:

10.1007/s00211-018-0975-1

CatalogPlus:

AC15324304

Publication Type:

Article - Original Research Article

Language:

English

Authors:

Faustmann, Markus
Melenk, Jens Markus

Organisational Unit:

E101 - Institut für Analysis und Scientific Computing

Journal:

Numerische Mathematik

ISSN:

0029-599X

Date (published):

2018

Number of Pages:

Publisher:

SPRINGER HEIDELBERG

Peer reviewed:

Yes

Abstract:

The local behavior of the lowest order boundary element method on quasi-uniform meshes for Symm’s integral equation and the stabilized hyper-singular integral equation on polygonal/polyhedral Lipschitz domains is analyzed. We prove local a priori estimates in L 2 for Symm’s integral equation and in H 1 for the hyper-singular equation. The local rate of convergence is limited by the local regularity of the sought solution and the sum of the rates given by the global regularity and additional regularity provided by the shift theorem for a dual problem.

License:

CC BY 4.0