Name
Title | ||
|---|---|---|
Practical error analysis for the three-level bilinear FEM and finite-difference scheme for the 1D wave equation with non-smooth data |
Abstract | ||
|---|---|---|
We deal with the standard three-level bilinear FEM and finite-difference scheme with a weight to solve the initial-boundary value problem for the 1D wave equation. We consider the rich collection of initial data and the free term which are the Dirac delta-functions, discontinuous, continuous but with discontinuous derivatives and from the Sobolev spaces, accomplish the practical error analysis in the L-2, L-1, energy and uniform norms as the mesh refines and compare results with known theoretical error bounds. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.3846/mma.2018.022 | MATHEMATICAL MODELLING AND ANALYSIS |
Keywords | DocType | Volume |
1D wave equation,non-smooth data,bilinear FEM,finite-difference scheme,practical error analysis | Journal | 23 |
Issue | ISSN | Citations |
3 | 1392-6292 | 0 |
PageRank | References | Authors |
0.34 | 1 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| A.A. Zlotnik | 1 | 3 | 5.79 |
| Olga Kireeva | 2 | 0 | 0.68 |