A Domain Decomposition-based Solver for Acoustic Wave propagation in Two-Dimensional Random Media
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866909997443579904 |
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| author | Vasudevan, Sudhi Sharma Padillath |
| author_facet | Vasudevan, Sudhi Sharma Padillath |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_23027 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Domain Decomposition-based Solver for Acoustic Wave propagation in Two-Dimensional Random Media Vasudevan, Sudhi Sharma Padillath Computational Engineering, Finance, and Science Distributed, Parallel, and Cluster Computing Numerical Analysis 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. |
| title | A Domain Decomposition-based Solver for Acoustic Wave propagation in Two-Dimensional Random Media |
| topic | Computational Engineering, Finance, and Science Distributed, Parallel, and Cluster Computing Numerical Analysis |
| url | https://arxiv.org/abs/2512.23027 |