@inproceedings{0b7df822f29d483780b8a2319f69a367,
title = "Non-Overlapping Domain Decomposition Methods with Cross-Points and Pad{\'e} Approximants for the Helmholtz Equation",
abstract = "We present a new non-overlapping domain decomposition method (NDDM) based on the square-root transmission conditions and the utilization of an appropriate technique dealing with the so-called cross-points problem in the context of a nodal finite element method (FEM). The square-root operator is localized using the Pad{\'e} Approximants technique. In addition,we use a Krylov solver to accelerate the iterative procedure. Several numerical results are displayed to validate this new algorithm.",
author = "Yassine Boubendir and Tadanaga Takahashi",
note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.; 26th International Conference on Domain Decomposition Methods, 2020 ; Conference date: 07-12-2020 Through 12-12-2020",
year = "2022",
doi = "10.1007/978-3-030-95025-5_12",
language = "English (US)",
isbn = "9783030950248",
series = "Lecture Notes in Computational Science and Engineering",
publisher = "Springer Science and Business Media Deutschland GmbH",
pages = "137--144",
editor = "Brenner, {Susanne C.} and Axel Klawonn and Jinchao Xu and Eric Chung and Jun Zou and Felix Kwok",
booktitle = "Domain Decomposition Methods in Science and Engineering XXVI",
address = "Germany",
}