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- W2258605840 abstract "In this paper, both semidiscrete and completely discrete finite volume element methods (FVEMs) are analyzed for approximating solutions of a class of linear hyperbolic integro- differential equations in a two-dimensional convex polygonal domain. The effect of numerical quadrature is also examined. In the semidiscrete case, optimal error estimates in L^{infty}(L2) and L^{infty}(H1)- norms are shown to hold with minimal regularity assumptions on the initial data, whereas quasi-optimal estimate in derived in L^{infty}(L^{infty})-norm under higher regularity on the data. Based on a second order explicit method in time, a completely discrete scheme is examined and optimal error estimates are established with a mild condition on the space and time discretizing parameters. Finally, some numerical experiments are conducted which confirm the theoretical order of convergence." @default.
- W2258605840 created "2016-06-24" @default.
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- W2258605840 date "2014-01-21" @default.
- W2258605840 modified "2023-09-27" @default.
- W2258605840 title "A priori error estimates for finite volume element approximations to second order linear hyperbolic integro-differential equations" @default.
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- W2258605840 hasPublicationYear "2014" @default.
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