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Toeplitz - Schwarz

Files to produce the computations and numerical results in the paper

ANALYSIS OF PARALLEL SCHWARZ ALGORITHMS FOR TIME-HARMONIC PROBLEMS USING BLOCK TOEPLITZ MATRICES by NIALL BOOTLAND, VICTORITA DOLEAN, ALEXANDER KYRIAKIS, AND JENNIFER PESTANA

Preprint arXiv:2006.08801

Maple Helmholtz1d.mw : Computations used in the proof of Lemma 3.2 Helmholtz2d.mw: Comments on the convergence for the 2d Helmholtz equation with absorption: Corollary 4.2 (k-independence) Maxwell2d,mw: Computations used in the proof of Theorem 4.5

Matlab Used to produce the limiting spectrum figures and the convergence rate as a function of the number of subdomains test1d_maxwell.m test2d_helmholtz.m test2d_maxwell.m

Freefem Domain decomposition method in a strip-wise decomposition

Helmholtz-2d-free-space-strips.edp Helmholtz-2d-plane-wave-strips.edp

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