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- W4311436039 abstract "In this paper, we present a new H1 weak Galerkin mixed finite element method for the Sobolev equation which includes the exact solution u and the intermediate solution p. In the H1 weak Galerkin method, we adopt the discontinuous finite elements Pk/Pk for the approximation solution pair (uh,ph) on finite element partitions consisting of arbitrary shape of polygons which are WG shape regular. We give the semi-discrete and full-discrete formulations which are proven to be stable and parameter-free and possess the optimal error estimates. Numerical experiments show the efficiency of our methods." @default.
- W4311436039 created "2022-12-26" @default.
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- W4311436039 date "2023-05-01" @default.
- W4311436039 modified "2023-10-16" @default.
- W4311436039 title "An <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline id=d1e3527 altimg=si422.svg><mml:msup><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math> weak Galerkin mixed finite element method for Sobolev equation" @default.
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- W4311436039 doi "https://doi.org/10.1016/j.cam.2022.114979" @default.
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