A short-memory operator splitting scheme for constant-Q viscoelastic wave equation

DOI10.1016/J.JCP.2021.110796OpenAlexW3208353116MaRDI QIDQ2136481

Xu Guo, Yunfeng Xiong

Publication date: 10 May 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.05103

zbMATH Keywords

scaling techniqueviscoelastic wave equationCaputo fractional derivativeLaguerre spectral methodshort-memory principle

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Miscellaneous topics in partial differential equations (35Rxx)

Related Items (1)

Adaptive Hermite spectral methods in unbounded domains

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Wave simulation in 2D heterogeneous transversely isotropic porous media with fractional attenuation: a Cartesian grid approach
• Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation
• Extension problem and fractional operators: semigroups and wave equations
• Spectral collocation method for the time-fractional diffusion-wave equation and convergence analysis
• Local radial point interpolation (MLRPI) method for solving time fractional diffusion-wave equation with damping
• An investigation of some nonclassical methods for the numerical approximation of Caputo-type fractional derivatives
• On a critique of a numerical scheme for the calculation of fractionally damped dynamical systems
• The temporal second order difference schemes based on the interpolation approximation for the time multi-term fractional wave equation
• An H2N2 interpolation for Caputo derivative with order in \((1,2)\) and its application to time-fractional wave equations in more than one space dimension
• Wave field simulation for heterogeneous porous media with singular memory drag force
• Spectral Methods
• Efficient Scaling and Moving Techniques for Spectral Methods in Unbounded Domains
• Stable and Efficient Spectral Methods in Unbounded Domains Using Laguerre Functions
• The Hermite Spectral Method for Gaussian-Type Functions
• Generalized Laguerre Interpolation and Pseudospectral Method for Unbounded Domains
• Hermite Spectral Methods with a Time-Dependent Scaling for Parabolic Equations in Unbounded Domains
• Numerical Solution of a Two-Dimensional Nonlocal Wave Equation on Unbounded Domains
• Fractional powers of operators

This page was built for publication: A short-memory operator splitting scheme for constant-Q viscoelastic wave equation