Contributions to Proceedings:
J. Gopalakrishnan, J. Schöberl:
"Degree and wavenumber [in]dependence of a Schwarz preconditioner for the DPG method'";
in: "Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014",
1;
R. Kirby, M. Berzins, J. Hesthaven (ed.);
Springer International Publishing Switzerland,
Zürich,
2015,
ISBN: 978-3-319-19800-2,
Paper ID 1,
8 pages.
English abstract:
Abstract
This note describes an implementation of a discontinuous Petrov Galerkin
(DPG) method for acoustic waves within the framework of high order finite el-
ements provided by the software package NGSolve. A technique to impose the
impedance boundary condition weakly is indicated. Numerical results from this im-
plementation show that a multiplicative Schwarz algorithm, with no coarse solve,
provides a
p
-preconditioner for solving the DPG system. The numerical observa-
tions suggest that the condition number of the preconditioned system is independent
of the frequency
k
and the polynomial degree
p
.
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1007/9778-3-319-19800-2
Created from the Publication Database of the Vienna University of Technology.