8 citations · 8 across the 3 of their papers we have counts for
3 papers
math.NA2021
A Priori Analysis of a Symmetric Interior Penalty Discontinuous Galerkin Finite Element Method for a Dynamic Linear Viscoelasticity Model
Yongseok Jang, Simon Shaw
The stress-strain constitutive law for viscoelastic materials such as soft tissues, metals at high temperature, and polymers, can be written as a Volterra integral equation of the…
math.NA2020★ 8 cited
A priori error analysis for a finite element approximation of dynamic viscoelasticity problems involving a fractional order integro-differential constitutive law
Yongseok Jang, Simon Shaw
We consider a fractional order viscoelasticity problem modelled by a power-law type stress relaxation function. This viscoelastic problem is a Volterra integral equation of the sec…
math.NA2020
Finite Element Approximation and Analysis of Viscoelastic Scalar Wave Propagation with Internal Variable Formulations
Yongseok Jang, Simon Shaw
We consider linear scalar wave equations with a hereditary integral term of the kind used to model viscoelastic solids. The kernel in this Volterra integral is a sum of decaying ex…