DSpace Repository

Mixed virtual element method for integro-differential equations of parabolic type

Show simple item record

dc.contributor.author Yadav, Sangita
dc.date.accessioned 2025-02-13T04:46:04Z
dc.date.available 2025-02-13T04:46:04Z
dc.date.issued 2024-04
dc.identifier.uri https://link.springer.com/article/10.1007/s12190-024-02066-8
dc.identifier.uri http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/17642
dc.description.abstract This article presents and analyzes a mixed virtual element approach for discretizing parabolic integro-differential equations in a bounded subset of , in addition to the backward Euler approach for temporal discretization. With the help of the intermediate projection along with Fortin and projections, we effectively tackle the treatment of integral terms in both the fully discrete and semi-discrete analysis. This inclusion leads to the derivation of optimal a priori error estimates with an order of for the two unknowns. Furthermore, we present a systematic analysis that outlines the step-by-step process for achieving super convergence of the discrete solution, with an order of . Several computational experiments are discussed to validate the proposed scheme’s computational efficiency and support the theoretical conclusions. en_US
dc.language.iso en en_US
dc.publisher Springer en_US
dc.subject Mathematics en_US
dc.subject Parabolic integro-differential equations (PIDEs) en_US
dc.subject Backward euler method en_US
dc.subject Numerical experiments en_US
dc.title Mixed virtual element method for integro-differential equations of parabolic type en_US
dc.type Article en_US


Files in this item

Files Size Format View

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record

Search DSpace


Advanced Search

Browse

My Account