@inbook{00fb70932f8c43fea3c8450f86918dc7,
title = "Multitrace formulations and Dirichlet-Neumann algorithms",
abstract = "Multitrace formulations (MTF) for boundary integral equations (BIE) were developed over the last few years in [1, 2, 4] for the simulation of electromagnetic problems in piecewise constant media, see also [3] for associated boundary integral methods. The MTFs are naturally adapted to the developments of new block preconditioners, as indicated in [5], but very little is known so far about such associated iterative solvers. The goal of our presentation is to give an elementary introduction to MTFs, and also to establish a natural connection with the more classical Dirichlet-Neumann algorithms that are well understood in the domain decomposition literature, see for example [6, 7]. We present for a model problem a convergence analysis for a naturally arising block iterative method associated with the MTF, and also first numerical results to illustrate what performance one can expect from such an iterative solver.",
keywords = "simulation, computational physics, mathematical software",
author = "Victorita Dolean and Gander, {Martin J.}",
year = "2016",
month = mar,
day = "30",
doi = "10.1007/978-3-319-18827-0_13",
language = "English",
isbn = "9783319188263",
volume = "104",
series = "Lecture Notes in Computational Science and Engineering",
publisher = "Springer-Verlag",
pages = "147--155",
editor = "Dickopf, {Thomas } and Gander, {Martin J. } and Halpern, {Laurence } and Krause, {Rolf } and Pavarino, {Luca F. }",
booktitle = "Domain Decomposition Methods in Science and Engineering XXII",
note = "22nd International Conference on Domain Decomposition Methods, DD 2013 ; Conference date: 16-09-2013 Through 20-09-2013",
}