Optimal L2 estimates for the semidiscrete galerkin method applied to parabolic integro-differential equations with nonsmooth data

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dc.contributor.authorYadav, Sangita
dc.date.accessioned2025-02-13T09:10:42Z
dc.date.available2025-02-13T09:10:42Z
dc.date.issued2024-06
dc.description.abstractWe propose and analyse an alternate approach to a priori error estimates for the semidiscrete Galerkin approximation to a time-dependent parabolic integro-differential equation with nonsmooth initial data. The method is based on energy arguments combined with repeated use of time integration, but without using parabolic-type duality techniques. An optimal L2-error estimate is derived for the semidiscrete approximation when the initial data is in L2. A superconvergence result is obtained and then used to prove a maximum norm estimate for parabolic integro-differential equations defined on a two-dimensional bounded domainen_US
dc.identifier.urihttps://www.cambridge.org/core/journals/anziam-journal/article/optimal-def-xmlpi-1def-mathsfbi-1boldsymbol-mathsf-1let-le-leqslant-let-leq-leqslant-let-ge-geqslant-let-geq-geqslant-def-pr-mathit-prdef-fr-mathit-frdef-rey-mathit-rel2-estimates-for-the-semidiscrete-galerkin-method-applied-to-parabolic-integrodifferential-equations-with-nonsmooth-data/9BD823EB0433DDDE473C6A1666C43C4C
dc.identifier.urihttp://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/17692
dc.language.isoenen_US
dc.publisherCUPen_US
dc.subjectMathematicsen_US
dc.subjectParabolic integro-differential equationsen_US
dc.subjectFinite element methoden_US
dc.subjectSemidiscrete solutionen_US
dc.subjectEnergy argumenten_US
dc.titleOptimal L2 estimates for the semidiscrete galerkin method applied to parabolic integro-differential equations with nonsmooth dataen_US
dc.typeArticleen_US

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