A Domain Decomposition-based Solver for Acoustic Wave propagation in Two-Dimensional Random Media
Computational Engineering, Finance, and Science
2026-01-23 v2 Distributed, Parallel, and Cluster Computing
Numerical Analysis
Numerical Analysis
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.
Cite
@article{arxiv.2512.23027,
title = {A Domain Decomposition-based Solver for Acoustic Wave propagation in Two-Dimensional Random Media},
author = {Sudhi Sharma Padillath Vasudevan},
journal= {arXiv preprint arXiv:2512.23027},
year = {2026}
}
Comments
29 pages, 55 figures