A Domain Decomposition-based Solver for Acoustic Wave propagation in Two-Dimensional Random Media
Abstract
An acoustic wave propagation problem with a log normal random field approximation for wave speed is solved using a sampling-free intrusive stochastic Galerkin approach. The stochastic partial differential equation with the inputs and outputs expanded using polynomial chaos expansion (PCE) is transformed into a set of deterministic PDEs and further to a system of linear equations. Domain decomposition (DD)-based solvers are utilized to handle the overwhelming computational cost for the resulting system with increasing mesh size, time step and number of random parameters. A conjugate gradient iterative solver with a two-level Neumann-Neumann preconditioner is applied here showing their efficient scalabilities.
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Vasudevan, S. S. P. (2025). A Domain Decomposition-based Solver for Acoustic Wave propagation in Two-Dimensional Random Media. arXiv preprint arXiv:2512.23027.
Sudhi Sharma Padillath Vasudevan. "A Domain Decomposition-based Solver for Acoustic Wave propagation in Two-Dimensional Random Media." arXiv preprint arXiv:2512.23027 (2025).