Non-Overlapping Domain Decomposition Methods with Cross-Points and Padé Approximants for the Helmholtz Equation
Document Type
Conference Proceeding
Publication Date
1-1-2022
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 Padé Approximants technique. In addition,we use a Krylov solver to accelerate the iterative procedure. Several numerical results are displayed to validate this new algorithm.
Identifier
85151149594 (Scopus)
ISBN
[9783030950248]
Publication Title
Lecture Notes in Computational Science and Engineering
External Full Text Location
https://doi.org/10.1007/978-3-030-95025-5_12
e-ISSN
21977100
ISSN
14397358
First Page
137
Last Page
144
Volume
145
Grant
DMS-1720014
Fund Ref
National Science Foundation
Recommended Citation
Boubendir, Yassine and Takahashi, Tadanaga, "Non-Overlapping Domain Decomposition Methods with Cross-Points and Padé Approximants for the Helmholtz Equation" (2022). Faculty Publications. 3187.
https://digitalcommons.njit.edu/fac_pubs/3187