Startseite A time-explicit weak Galerkin scheme for parabolic equations on polytopal partitions
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A time-explicit weak Galerkin scheme for parabolic equations on polytopal partitions

  • Junping Wang , Xiu Ye und Shangyou Zhang EMAIL logo
Veröffentlicht/Copyright: 2. Juni 2023

Abstract

In this paper a time-explicit weak Galerkin finite element method is introduced and analyzed for parabolic equations. The main idea relies on the inclusion of a stabilization term in the temporal direction in addition to the usual static stabilization in the weak Galerkin framework. Both semi-discrete and fully-discrete schemes in time are presented, as well as their stability and error analysis. Numerical results are reported for this new explicit weak Galerkin finite element method.

JEL Classification: 65N15; 65N30

Funding statement: The research of Junping Wang was supported by the NSF IR/D program, while working at National Science Foundation. However, any opinion, finding, and conclusions or recommendations expressed in this material are those of the author and do not necessarily reflect the views of the National Science Foundation.

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Received: 2021-11-15
Revised: 2022-03-25
Accepted: 2022-05-22
Published Online: 2023-06-02
Published in Print: 2022-05-24

© 2023 Walter de Gruyter GmbH, Berlin/ Boston, Germany

Heruntergeladen am 26.11.2025 von https://www.degruyterbrill.com/document/doi/10.1515/jnma-2021-0128/pdf
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