Natural damping of time-harmonic waves and its influence on Schwarz methods
Martin J. Gander, Hui Zhang
TL;DR
This paper investigates how different damping strategies affect the efficiency of Schwarz methods in solving time-harmonic wave problems, using Fourier analysis to visualize the impact.
Contribution
It introduces a Fourier analysis approach to study the effect of damping on Schwarz methods for time-harmonic waves, providing new insights into their performance.
Findings
Damping significantly influences Schwarz method convergence.
Fourier analysis reveals optimal damping parameters.
Performance varies with damping type and wave frequency.
Abstract
The influence of various damping on the performance of Schwarz methods for time-harmonic waves is visualized by Fourier analysis.
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Taxonomy
TopicsNumerical methods in inverse problems · Advanced Mathematical Modeling in Engineering · Electromagnetic Simulation and Numerical Methods