Abstract. An integro-differential equation, modeling dynamic fractional or-der viscoelasticity, with a Mittag-Leffler type convolution kernel is considered. A discontinuous Galerkin method, based on piecewise constant polynomials is formulated for temporal semidiscretization of the problem. Stability estimates of the discrete problem are proved, that are used to prove optimal order a priori error estimates. The theory is illustrated by a numerical example. 1
Abstract. A hyperbolic integro-differential equation is considered, as a model problem, where the co...
The performance of two low-order discretization schemes in combination with the Discontinuous Galerk...
The performance of two low-order discretization schemes in combination with the Discontinuous Galerk...
An integro-differential equation, modeling dynamic fractional order viscoelasticity, with a Mittag-L...
We study a dynamic model for viscoelastic materials based on a constitutive equation of fractional o...
We consider a fractional order integro-differential equation with a weakly singular convolution kern...
We consider a fractional order integro-differential equation with a weakly singular convolution kern...
We study a quasi-static model for viscoelastic materials based on a constitutive equation of fractio...
Abstract: We study a quasi-static model for viscoelastic materials based on a constitutive equation ...
This thesis deals with developing Galerkin based solution strategies for several important classes o...
This thesis was submitted for the award of Doctor of Philosophy and was awarded by Brunel University...
The stress-strain constitutive law for viscoelastic materials such as soft tissues, metals at high t...
This thesis can be considered as two parts. In the first part a hyperbolic type integro-differentia...
Abstract. In this paper, we adopt symmetric interior penalty discontin-uous Galerkin (SIPG) methods ...
Abstract. We consider discrete schemes for a nonlinear model of non-Fickian diffusion in viscoelasti...
Abstract. A hyperbolic integro-differential equation is considered, as a model problem, where the co...
The performance of two low-order discretization schemes in combination with the Discontinuous Galerk...
The performance of two low-order discretization schemes in combination with the Discontinuous Galerk...
An integro-differential equation, modeling dynamic fractional order viscoelasticity, with a Mittag-L...
We study a dynamic model for viscoelastic materials based on a constitutive equation of fractional o...
We consider a fractional order integro-differential equation with a weakly singular convolution kern...
We consider a fractional order integro-differential equation with a weakly singular convolution kern...
We study a quasi-static model for viscoelastic materials based on a constitutive equation of fractio...
Abstract: We study a quasi-static model for viscoelastic materials based on a constitutive equation ...
This thesis deals with developing Galerkin based solution strategies for several important classes o...
This thesis was submitted for the award of Doctor of Philosophy and was awarded by Brunel University...
The stress-strain constitutive law for viscoelastic materials such as soft tissues, metals at high t...
This thesis can be considered as two parts. In the first part a hyperbolic type integro-differentia...
Abstract. In this paper, we adopt symmetric interior penalty discontin-uous Galerkin (SIPG) methods ...
Abstract. We consider discrete schemes for a nonlinear model of non-Fickian diffusion in viscoelasti...
Abstract. A hyperbolic integro-differential equation is considered, as a model problem, where the co...
The performance of two low-order discretization schemes in combination with the Discontinuous Galerk...
The performance of two low-order discretization schemes in combination with the Discontinuous Galerk...