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Persistent URL http://purl.org/net/epubs/work/58275338
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Record Id 58275338
Title Numerical Assessment of PML Transmission Conditions in a Domain Decomposition Method for the Helmholtz Equation
Abstract The convergence rate of domain decomposition methods (DDMs) strongly depends on the transmission condition at the interfaces between subdomains. Thus, an important aspect in improving the efficiency of such solvers is careful design of appropriate transmission conditions. In this work, we will develop an efficient solver for Helmholtz equations based on perfectly matched layers (PMLs) as transmission conditions at the interfaces within an optimised restricted additive Schwarz (ORAS) domain decomposition preconditioner, in both two and three dimensional domains. We perform a series of numerical simulations on a model problem and will assess the convergence rate and accuracy of our solutions compared to the situation where impedance boundary conditions are used.
Organisation STFC , SCI-COMP , SCI-COMP-CM
Keywords perfectly matched layers , domain decomposition , Helmholtz equation
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Language English (EN)
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Book Chapter or Section In Domain Decomposition Methods in Science and Engineering XXVII. Lecture Notes in Computational Science and Engineering 149 edited by Z Dostál, T Kozubek, A Klawonn, U Langer, LF Pavarino, J Šístek, OB Widlund, 445-453. Cham: Springer Nature Switzerland, 2024. doi:10.1007/978-3-031-50769-4_53 2024