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Finite element methods for second order linear hyperbolic interface problems
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DOI：10.1016/j.amc.2012.04.055.png)
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Abstract
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The aim of this paper is to study finite element methods and their convergence for hyperbolic interface problems. Both semidiscrete and fully discrete schemes are analyzed. Optimal a priori error estimates in the L-2 and H-1 norms are derived for a finite element discretization where interface triangles are assumed to be curved triangles instead of straight triangles. The interfaces and boundaries of the domains are assumed to be smooth for our purpose. (C) 2012 Elsevier Inc. All rights reserved.
Keywords:
Hyperbolic
Interface
Discontinuous coefficients
Finite element approximation
Semidiscrete and fully discrete schemes
Optimal error estimates
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