Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5776698 | Applied Numerical Mathematics | 2017 | 18 Pages |
Abstract
In this article a fitted finite element method is proposed and analyzed for wave equation with discontinuous coefficients. Typical semidiscrete and an implicit fully discrete schemes are presented and analyzed. Optimal a priori error estimates for both semidiscrete and fully discrete schemes are proved in Lâ(L2) norm. The convergence analysis relies heavily on time reconstructions of continuous and discrete solutions, in conjunction with some known results on elliptic interface problems. Finally, a numerical experiment is presented to verify our theoretical result.
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
Bhupen Deka,