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math.NA2014
A Priori -estimates for Discontinuous Galerkin Approximations to Linear Hyperbolic Integro-Differential Equations
Samir Karaa, Amiya K. Pani, Sangita Yadav
An -discontinuous Galerkin (DG) method is applied to a class of second order linear hyperbolic integro-differential equations. Based on the analysis of an expanded mixed type R…
math.NA2014
A priori error estimates for finite volume element approximations to second order linear hyperbolic integro-differential equations
Samir Karaa, Amiya K. Pani
In this paper, both semidiscrete and completely discrete finite volume element methods (FVEMs) are analyzed for approximating solutions of a class of linear hyperbolic integro- dif…
math.NA2014
Optimal error estimates of mixed FEMs for second order hyperbolic integro-differential equations with minimal smoothness on initial data
Samir Karaa, Amiya K. Pani
In this article, mixed finite element methods are discussed for a class of hyperbolic integro-differential equations (HIDEs). Based on a modification of the nonstandard energy form…