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- Title
A POSTERIORI ERROR ESTIMATES FOR MIXED FINITE ELEMENT GALERKIN APPROXIMATIONS TO SECOND ORDER LINEAR HYPERBOLIC EQUATIONS.
- Authors
KARAA, SAMIR; PANI, AMIYA K.
- Abstract
In this article, a posteriori error analysis for mixed finite element Galerkin approximations of second order linear hyperbolic equations is discussed. Based on mixed elliptic reconstructions and an integration tool, which is a variation of Baker's technique introduced earlier by G. Baker (SIAM J. Numer. Anal., 13 (1976), 564-576) in the context of a priori estimates for a second order wave equation, a posteriori error estimates of the displacement in L∞(L²)-norm for the semidiscrete scheme are derived. Finally, a first order implicit-in-time discrete scheme is analyzed and a posteriori error estimators are established.
- Subjects
FINITE element method; GALERKIN methods; LINEAR equations; APPROXIMATION theory; DISCRETE systems; HYPERBOLIC differential equations
- Publication
International Journal of Numerical Analysis & Modeling, 2017, Vol 14, Issue 4-5, p571
- ISSN
1705-5105
- Publication type
Article