A spectral projection based method for the numerical solution of wave equations with memory
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Publication:2077036
DOI10.1016/j.aml.2021.107844OpenAlexW4200110844MaRDI QIDQ2077036
Christian Engström, Luka Grubišić, Stefano Giani
Publication date: 22 February 2022
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2021.107844
Integro-partial differential equations (45K05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Laplace transform (44A10) Numerical methods for integral transforms (65R10) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)
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\(khp\)-adaptive spectral projection based discontinuous Galerkin method for the numerical solution of wave equations with memory, Numerical solution of distributed-order time-fractional diffusion-wave equations using Laplace transforms
Cites Work
- Unnamed Item
- Numerical solution via Laplace transforms of a fractional order evolution equation
- Decay properties for the solutions of a partial differential equation with memory
- Discontinuous Galerkin method for an integro-differential equation modeling dynamic fractional order viscoelasticity
- Decay properties for the numerical solutions of a partial differential equation with memory
- Discontinuous Galerkin approximation of the Laplace eigenproblem
- Laplace inversion for the solution of an abstract heat equation without the forward transform of the source term
- An a posteriori estimator of eigenvalue/eigenvector error for penalty-type discontinuous Galerkin methods
- A general theory of heat conduction with finite wave speeds
- Spectra of Gurtin-Pipkin type of integro-differential equations and applications to waves in graded viscoelastic structures
- Linearization techniques for band structure calculations in absorbing photonic crystals
- Well-posedness of hp-version discontinuous Galerkin methods for fractional diffusion wave equations
- An $hp$-Version Discontinuous Galerkin Method for Integro-Differential Equations of Parabolic Type
- Multi-precision Laplace transform inversion
- AN A POSTERIORI ERROR ESTIMATOR FOR hp-ADAPTIVE DISCONTINUOUS GALERKIN METHODS FOR ELLIPTIC EIGENVALUE PROBLEMS
- The Accurate Numerical Inversion of Laplace Transforms
- Evolutionary Integral Equations and Applications
- Numerical inverse Laplace transform for convection-diffusion equations
- Gauss--Hermite Quadrature for the Bromwich Integral