ON FINITE ELEMENT METHOD FOR LINEAR HYPERBOLIC INTERFACE PROBLEMS
AbstractWe investigate the error contributed by semi discretization
to the finite element solution of linear hyperbolic interface problems. With low regularity assumption on the solution across the interface, almost optimal convergence rates in L2(Ω) and H1(Ω) norms are obtained. We do not assume that the interface could be fitted exactly. Numerical experiments are presented to support the theoretical results.
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