2020 | OriginalPaper | Chapter
A Discrete Domain Decomposition Method for Acoustics with Uniform Exponential Rate of Convergence Using Non-local Impedance Operators
Authors : Xavier Claeys, Francis Collino, Patrick Joly, Emile Parolin
Published in: Domain Decomposition Methods in Science and Engineering XXV
Publisher: Springer International Publishing
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The relaxed Jacobi algorithm written at the continuous level was proven to converge exponentially. However, it was only a conjecture, hinted at by numerical experiments in [5, Section 8], that the discretized algorithm using finite elements has a rate of convergence uniformly bounded with respect to the discretization parameter