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Error estimate of fully discrete discontinuous Galerkin approximation for the viscoelasticity type equation |
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| Authors: | Mi Ray Ohm Hyun Young Lee Jun Yong Shin |
| Affiliation: | 1. Division of Information Systems Engineering, Dongseo University, 617-716, Busan, South Korea 2. Department of Mathematics, Kyungsung University, 608-736, Busan, South Korea 3. Division of Mathematical Sciences, Pukyong National University, 608-737, Busan, South Korea |
| Abstract: | In this paper we develop fully discrete discontinuous Galerkin approximation using symmetric interior penalty method. We construct finite element spaces which consist of piecewise continuous polynomials. We introduce an appropriate elliptic-type projection of u and prove its optimal convergence. We develop fully discrete discontinuous Galerkin approximations and prove the optimal convergence in ? ∞(L 2) normed space. |
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