An H1-Galerkin Mixed Finite Element Approximation of a Nonlocal Hyperbolic Equation. Issue 5 (3rd September 2017)

• Record Type: Journal Article
• Authors: Chen, Fengxin; Zhou, Zhaojie
• Is Part Of: Mathematical modelling and analysis. Volume 22:Issue 5(2017)
• Page Start: 643
• Page End: 653
• Publication Date: 2017-09-03
• Subjects: nonlocal hyperbolic equation -- H1-Galerkin mixed finite element method -- a priori error estimate; 65N30; Mathematical models -- Periodicals; Mathematical models -- Study and teaching -- Periodicals; Mathematical analysis -- Periodicals; Mathematical analysis -- Problems, exercises, etc -- Periodicals; Mathematical analysis; Mathematical models; Mathematical models -- Study and teaching; Periodicals; Problems and exercises; 511.805
• DOI: 10.3846/13926292.2017.1346524
• Languages: English
• ISSNs: 1392-6292

Abstract

Abstract: In this paper we investigate a semi-discrete H 1 -Galerkin mixed finite element approximation of one kind of nolocal second order nonlinear hyperbolic equation, which is often used to describe vibration of an elastic string. A priori error estimates for the semi-discrete scheme are derived. A fully discrete scheme is constructed and one numerical example is given to verify the theoretical findings.