The time discontinuous \(H^1\)-Galerkin mixed finite element method for linear Sobolev equations
type: Item
instance of: scholarly article
title: The time discontinuous \(H^1\)-Galerkin mixed finite element method for linear Sobolev equations
zbMATH Open document ID: 1418.65140
DOI: 10.1155/2015/618258
author: Hong Yu
author: Na Li
author: Tongjun Sun
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: We combine the \(H^1\)-Galerkin mixed finite element method with the time discontinuous Galerkin method to approximate linear Sobolev equations. The advantages of these two methods are fully utilized. The approximate schemes are established to get the approximate solutions by a piecewise polynomial of degree at most \(q - 1\) with the time variable. The existence and uniqueness of the solutions are proved, and the optimal \(H^1\)-norm error estimates are derived. We get high accuracy for both the space and time variables.
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35G16
zbMATH DE Number: 7025428
Wikidata QID: Q59106045
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/618258
OpenAlex ID: W2052830697
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description: scientific article; zbMATH DE number 7025428