ERROR ESTIMATES OF SEMIDISCRETE DISCONTINUOUS GALERKIN APPROXIMATIONS FOR THE VISCOELASTICITY-TYPE EQUATION

Title & Authors
ERROR ESTIMATES OF SEMIDISCRETE DISCONTINUOUS GALERKIN APPROXIMATIONS FOR THE VISCOELASTICITY-TYPE EQUATION
Ohm, Mi-Ray; Lee, Hyun-Young; Shin, Jun-Yong;

Abstract
In this paper, we adopt symmetric interior penalty discontinuous Galerkin (SIPG) methods to approximate the solution of nonlinear viscoelasticity-type equations. We construct finite element space which consists of piecewise continuous polynomials. We introduce an appropriate elliptic-type projection and prove its approximation properties. We construct semidiscrete discontinuous Galerkin approximations and prove the optimal convergence in $\small{L^2}$ normed space.
Keywords
visoelasticity-type equation;discontinuous Galerkin methods;semidiscrete approximations;$\small{L^2}$ optimal convergence;
Language
English
Cited by
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