Practical error analysis for the three-level bilinear FEM and finite-difference scheme for the 1D wave equation with non-smooth data

Practical error analysis for the three-level bilinear FEM and finite-difference scheme for the 1D wave equation with non-smooth data

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 δ-functions, discontinuous, continuous but with di...

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Bibliographic Details
Main Authors: Alexander Zlotnik, Olga Kireeva
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2018-06-01
Series:Mathematical Modelling and Analysis
Subjects:
1D wave equation
non-smooth data
bilinear FEM
finite-difference scheme
practical error analysis
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/2807

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