Gudi, T and Majumder, P (2020) Crouzeix-Raviart Finite Element Approximation for the Parabolic Obstacle Problem. In: Computational Methods in Applied Mathematics, 20 (2). pp. 273-292.
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Abstract
We introduce and study a fully discrete nonconforming finite element approximation for a parabolic variational inequality associated with a general obstacle problem. The method comprises of the Crouzeix-Raviart finite element method for space discretization and implicit backward Euler scheme for time discretization. We derive an error estimate of optimal order (h + Δ t) } in a certain energy norm defined precisely in the article. We only assume the realistic regularity u t L 2 (0, T; L 2 (ω)) } and moreover the analysis is performed without any assumptions on the speed of propagation of the free boundary. We present a numerical experiment to illustrate the theoretical order of convergence derived in the article
Item Type: | Journal Article |
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Publication: | Computational Methods in Applied Mathematics |
Publisher: | De Gruyter |
Additional Information: | The copyright for this article belongs to the De Gruyter. |
Keywords: | Finite Element; Parabolic Obstacle Problem |
Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
Date Deposited: | 01 Feb 2023 09:08 |
Last Modified: | 01 Feb 2023 09:08 |
URI: | https://eprints.iisc.ac.in/id/eprint/79676 |
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