High-order FEM domain decomposition models for high-frequency wave propagation in heterogeneous media. (15th March 2018)

• Record Type: Journal Article
• Authors: Ganesh, M.; Morgenstern, C.
• Is Part Of: Computers & mathematics with applications. Volume 75:issue 6(2018)
• Page Start: 1961
• Page End: 1972
• Publication Date: 2018-03-15
• Subjects: Wave propagation -- Finite element -- High-order -- Domain decomposition; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2017.10.041
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: Large scale scientific computing models, requiring iterative algebraic solvers, are needed to simulate high-frequency wave propagation because large degrees of freedom are needed to avoid the Helmholtz computer model pollution effects. In this work, we investigate the use of multiple additive Schwarz type domain decomposition (DD) approximations to efficiently simulate two- and three-dimensional high-frequency wave propagation with high-order FEM. We compare our DD based results with those obtained using a standard geometric multigrid approach for up to 1, 000 and 300 wavelength models in two- and three-dimensions, respectively.