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- W4300695590 abstract "In this article, mixed finite element methods are discussed for a class of hyperbolic integro-differential equations (HIDEs). Based on a modification of the nonstandard energy formulation of Baker, both semidiscrete and completely discrete implicit schemes for an extended mixed method are analyzed and optimal L^{infty}(L^2)-error estimates are derived under minimal smoothness assumptions on the initial data. Further, quasi-optimal estimates are shown to hold in L^{infty}(L^{infty})-norm. Finally, the analysis is extended to the standard mixed method for HIDEs and optimal error estimates in L^{infty}(L^2)-norm are derived again under minimal smoothness on initial data." @default.
- W4300695590 created "2022-10-04" @default.
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- W4300695590 date "2014-01-20" @default.
- W4300695590 modified "2023-10-16" @default.
- W4300695590 title "Optimal error estimates of mixed FEMs for second order hyperbolic integro-differential equations with minimal smoothness on initial data" @default.
- W4300695590 doi "https://doi.org/10.48550/arxiv.1401.5134" @default.
- W4300695590 hasPublicationYear "2014" @default.
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