A spectral projection based method for the numerical solution of wave equations with memory
type: Item
instance of: scholarly article
title: A spectral projection based method for the numerical solution of wave equations with memory
author: Christian Engström
author: Luka Grubišić
author: Stefano Giani
published in: Applied Mathematics Letters
publication date: 2022-02-22T00:00:00Z
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 65R10
Mathematics Subject Classification ID: 44A10
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65N25
zbMATH DE Number: 7478981
zbMATH Keywords: inverse Laplace transform
zbMATH Keywords: spectral projection
zbMATH Keywords: wave equation with delay
zbMATH Keywords: finite element approximation
MaRDI profile type: Publication
full work available at URL: j.aml.2021.107844
OpenAlex ID: W4200110844
cites work: A general theory of heat conduction with finite wave speeds
cites work: Q3993273
cites work: Evolutionary Integral Equations and Applications
cites work: Decay properties for the numerical solutions of a partial differential equation with memory
cites work: Well-posedness of hp-version discontinuous Galerkin methods for fractional diffusion wave equations
cites work: Numerical solution via Laplace transforms of a fractional order evolution equation
cites work: Laplace inversion for the solution of an abstract heat equation without the forward transform of the source term
cites work: Discontinuous Galerkin approximation of the Laplace eigenproblem
cites work: The Accurate Numerical Inversion of Laplace Transforms
cites work: Decay properties for the solutions of a partial differential equation with memory
cites work: Spectra of Gurtin-Pipkin type of integro-differential equations and applications to waves in graded viscoelastic structures
cites work: Gauss--Hermite Quadrature for the Bromwich Integral
cites work: Numerical inverse Laplace transform for convection-diffusion equations
cites work: Multi-precision Laplace transform inversion
cites work: AN A POSTERIORI ERROR ESTIMATOR FOR hp-ADAPTIVE DISCONTINUOUS GALERKIN METHODS FOR ELLIPTIC EIGENVALUE PROBLEMS
cites work: An a posteriori estimator of eigenvalue/eigenvector error for penalty-type discontinuous Galerkin methods
cites work: Discontinuous Galerkin method for an integro-differential equation modeling dynamic fractional order viscoelasticity
cites work: An $hp$-Version Discontinuous Galerkin Method for Integro-Differential Equations of Parabolic Type
cites work: Linearization techniques for band structure calculations in absorbing photonic crystals
DOI: 10.1016/J.AML.2021.107844
description: scientific article; zbMATH DE number 7478981