Dissipation-preserving spectral element method for damped seismic wave equations
type: Item
instance of: scholarly article
title: Dissipation-preserving spectral element method for damped seismic wave equations
zbMATH Open document ID: 1380.86010
author: Wenjun Cai
author: Huai Zhang
author: Yushun Wang
published in: Journal of Computational Physics
publication date: 2018-02-16T00:00:00Z
Mathematics Subject Classification ID: 86A15
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 65P10
zbMATH DE Number: 6840060
zbMATH Keywords: spectral element method
zbMATH Keywords: conformal symplectic method
zbMATH Keywords: seismic wave equations
zbMATH Keywords: attenuation
zbMATH Keywords: long-term stability
MaRDI profile type: Publication
full work available at URL: j.jcp.2017.08.048
OpenAlex ID: W2752075105
cites work: A spectral element method for fluid dynamics: Laminar flow in a channel expansion
cites work: Q4257953
cites work: 3-D large-scale wave propagation modeling by spectral element method on Cray T3E multiprocessor
cites work: Multi-symplectic Birkhoffian structure for PDEs with dissipation terms
cites work: Energy/dissipation-preserving birkhoffian multi-symplectic methods for Maxwell's equations with dissipation terms
cites work: Splitting methods
cites work: Q4531870
cites work: Conformal multi-symplectic integration methods for forced-damped semi-linear wave equations
cites work: Conformal conservation laws and geometric integration for damped Hamiltonian PDEs
cites work: Multi-symplectic integrators: numerical schemes for Hamiltonian PDEs that conserve symplecticity
cites work: Second order conformal symplectic schemes for damped Hamiltonian systems
cites work: Canonical Runge-Kutta-Nyström (RKN) methods for second order ordinary differential equations
cites work: On the Construction and Comparison of Difference Schemes
cites work: Modified symplectic schemes with nearly-analytic discrete operators for acoustic wave simulations
cites work: A modification of cagniard’s method for solving seismic pulse problems
DOI: 10.1016/J.JCP.2017.08.048
Recommended article: Numerical modeling of seismic waves by discontinuous spectral element methods
Recommended article: The spectral element method for elastic wave equations—application to 2-D and 3-D seismic problems
Recommended article: Application of a spectral method to numerical modeling of the propagation of seismic waves in porous media with energy dissipation
Recommended article: Finite-Element Methods for a Strongly Damped Wave Equation
Recommended article: Q4253305
Recommended article: Dispersive and Dissipative Behavior of the Spectral Element Method
Recommended article: Dispersion analysis of spectral element methods for elastic wave propagation
Recommended article: Q3406135
Recommended article: Q4980780
Recommended article: A multisymplectic pseudospectral method for seismic modeling
description: scientific article; zbMATH DE number 6840060