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

This document is currently not available here.

Share

COinS