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A fixed-point iteration method for high frequency vector wave equations
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DOI：10.1016/j.jcp.2023.112306.png)
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摘要
En 中文
For numerically solving the high frequency vector wave equations, we present a simple approach based on fixed point iterations, where the problem is transferred into a fixedpoint problem related to an exponential operator. The associated functional evaluations are achieved by unconditionally stable operator-splitting based pseudospectral schemes such that large step sizes are allowed to reach the approximated fixed point efficiently for prescribed termination criteria. For the sub-operator that is related to non-constant relative permeability, the Krylov subspace method or Taylor expansion is adapted for approximating its exponential. Furthermore, the Anderson acceleration is incorporated to accelerate the convergence of the fixed-point iterations. Numerical experiments are presented to demonstrate the accuracy and efficiency of the method.& COPY; 2023 Elsevier Inc. All rights reserved.
Keyword:
Vector wave equations
Fixed-point iteration
Operator splitting
Pseudospectral method
Krylov subspace method
Taylor expansion
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3.8
论文数:
1.6W
被引数:
7.4W
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