TITLE:
Finite-Difference Solution of the Helmholtz Equation Based on Two Domain Decomposition Algorithms
AUTHORS:
Wensheng Zhang, Yunyin Dai
KEYWORDS:
Finite Difference; Domain Decomposition; Nonoverlapping; Overlapping; Helmholtz Equation; Preconditioner
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.1 No.4,
November
6,
2013
ABSTRACT: In this paper, wave
simulation with the finite difference method for the Helmholtz equation based
on the domain decomposition method is investigated. The method solves the
problem by iteratively solving subproblems defined on smaller subdomains. Two
domain decomposition algorithms both for nonoverlapping and overlapping methods
are described. More numerical computations including the benchmark Marmousi
model show the effectiveness of the proposed algorithms. This method can be
expected to be used in the full-waveform inversion in the future.