Analysis of models for viscoelastic wave propagation
DOI10.21042/AMNS.2018.1.00006MaRDI QIDQ2690569
Thomas S. Brown, Hasan Eruslu, Francisco-Javier Sayas, Shukai Du
Publication date: 17 March 2023
Published in: Applied Mathematics and Nonlinear Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.00825
Laplace transformsstability analysisfractional derivativesviscoelasticitysemigroups of operatorshyperbolic PDE
Stability in context of PDEs (35B35) Integral transforms in distribution spaces (46F12) Wave equation (35L05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Elastic materials (74B99) Numerical solutions to abstract evolution equations (65J08)
Related Items (14)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A space-time continuous finite element method for 2D viscoelastic wave equation
- Semigroups of linear operators and applications to partial differential equations
- On the linear theory of viscoelasticity
- On the multistep time discretization of linear initial-boundary value problems and their boundary integral equations
- Discontinuous Galerkin finite element methods for linear elasticity and quasistatic linear viscoelasticity
- On Mittag-Leffler-type functions in fractional evolution processes
- A note on the equivalence of fractional relaxation equations to differential equations with varying coefficients
- Discontinuous Galerkin method for an integro-differential equation modeling dynamic fractional order viscoelasticity
- A mixed finite element approach for viscoelastic wave propagation
- On transient waves in linear viscoelasticity
- Prabhakar-like fractional viscoelasticity
- An historical perspective on fractional calculus in linear viscoelasticity
- On a fractional Zener elastic wave equation
- A numerical-analytical method for solving problems of linear viscoelasticity
- Analysis of mixed finite element methods for the standard linear solid model in viscoelasticity
- Scattering of SH wave by a crack terminating at the interface of a bimaterial
- On the propagation of transient waves in a viscoelastic Bessel medium
- Fractional modeling of viscoelasticity in 3D cerebral arteries and aneurysms
- Convolution Quadrature for Wave Simulations
- Wave Propagation Problems Treated with Convolution Quadrature and BEM
- Retarded Potentials and Time Domain Boundary Integral Equations
- A two-dimensional BEM/FEM coupling applied to viscoelastic analysis of composite domains
- Formulation variationnelle espace‐temps pour le calcul par potentiel retardé de la diffraction d'une onde acoustique (I)
- Fractional Calculus With Applications in Mechanics
- Fractional Calculus with Applications in Mechanics
This page was built for publication: Analysis of models for viscoelastic wave propagation