Domain Decomposition for Acoustic Wave Propagation in Random Media

This paper addresses the computationally expensive problem of simulating acoustic wave propagation in complex, random media. It leverages a sampling-free stochastic Galerkin method combined with domain decomposition techniques to improve scalability. The use of polynomial chaos expansion (PCE) and iterative solvers with preconditioners suggests an efficient approach to handle the high dimensionality and computational cost associated with the problem. The focus on scalability with increasing mesh size, time steps, and random parameters is a key aspect.

• •Addresses the challenge of simulating acoustic wave propagation in random media.
• •Employs a sampling-free stochastic Galerkin method for efficiency.
• •Utilizes domain decomposition to handle computational cost.
• •Focuses on scalability with respect to mesh size, time steps, and random parameters.