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- W4387378210 abstract "The diffusive–viscous wave equation plays a significant role in investigating the attenuation of seismic wave propagating in fluid-saturated medium. This paper focuses on the design of unconditionally energy-stable spectral method for the diffusive–viscous wave equation defined in unbounded domains Rd(d=2,3). We develop such a spectral method by using mapped Gegenbauer functions for the spatial approximation and Crank–Nicolson scheme for the temporal discretization. Then we show that the fully-discrete method satisfies the discrete energy-dissipation law without any restriction on the time step size. To achieve an efficient implementation, the matrix diagonalization procedure is employed to solve the linear systems for d=2,3. Finally, we carry out numerical examples in 3D case to demonstrate the good behavior of our method." @default.
- W4387378210 created "2023-10-06" @default.
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- W4387378210 date "2023-10-01" @default.
- W4387378210 modified "2023-10-16" @default.
- W4387378210 title "Unconditionally energy-stable mapped Gegenbauer spectral Galerkin method for diffusive–viscous wave equation in unbounded domains" @default.
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- W4387378210 doi "https://doi.org/10.1016/j.aml.2023.108886" @default.
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