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.
Original language | English |
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Pages (from-to) | 571-590 |
Number of pages | 20 |
Journal | International Journal of Numerical Analysis and Modeling |
Volume | 14 |
Issue number | 4-5 |
Publication status | Published - 2017 |
Keywords
- And a posteriori error estimates
- First order implicit completely discrete scheme
- Mixed elliptic reconstructions
- Mixed finite element methods
- Second order linear wave equation
- Semidiscrete method
ASJC Scopus subject areas
- Numerical Analysis