2 papers
math.NA2024
On Two Conservative HDG Schemes for Nonlinear Klein-Gordon Equation
Shipra Gupta, Amiya Kumar Pani, Sangita Yadav
In this article, a hybridizable discontinuous Galerkin (HDG) method is proposed and analyzed for the Klein-Gordon equation with local Lipschitz-type non-linearity. {\it A priori} e…
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…